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		<title>Cleat Wiring: Definition, Parts, Working, Diagram, Advantages, Disadvantages &#038; Applications</title>
		<link>https://howelectrical.com/cleat-wiring/</link>
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		<pubDate>Mon, 10 Feb 2025 07:13:36 +0000</pubDate>
				<category><![CDATA[Basic Electrical]]></category>
		<category><![CDATA[Electric circuit]]></category>
		<category><![CDATA[Electrical Instruments]]></category>
		<guid isPermaLink="false">https://howelectrical.com/?p=4483</guid>

					<description><![CDATA[<p>Cleat wiring is one of the oldest and simplest types of electrical wiring used in residential and industrial applications. It consists of insulated electrical wires secured on porcelain, plastic, or wood cleats that are fixed to walls or ceilings. This wiring system is mainly used for temporary installations due to its exposed design and lower durability [&#8230;]</p>
<p>The post <a href="https://howelectrical.com/cleat-wiring/">Cleat Wiring: Definition, Parts, Working, Diagram, Advantages, Disadvantages &#038; Applications</a> appeared first on <a href="https://howelectrical.com">Electrical and Electronics Blog</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p>Cleat wiring is one of the oldest and simplest types of electrical wiring used in residential and industrial applications. It consists of insulated electrical wires secured on porcelain, plastic, or wood cleats that are fixed to walls or ceilings. This wiring system is mainly used for temporary installations due to its exposed design and lower durability compared to other modern wiring systems.<span id="more-4483"></span></p>
<h3><span style="color: #000080;">What is Cleat Wiring?</span></h3>
<p>Cleat wiring is a system where <strong>PVC insulated wires</strong> or <strong>virgin insulated wires</strong> are mounted on <strong>porcelain, wood, or plastic cleats</strong>. The cleats are fixed on walls or ceilings at regular intervals using screws.</p>
<h3><span style="color: #000080;"><strong>Parts of Cleat Wiring</strong></span></h3>
<p><img fetchpriority="high" decoding="async" class="size-full wp-image-4484 aligncenter" src="https://howelectrical.com/wp-content/uploads/2025/02/cleat-wiring.png" alt="cleat wiring" width="905" height="497" srcset="https://howelectrical.com/wp-content/uploads/2025/02/cleat-wiring.png 905w, https://howelectrical.com/wp-content/uploads/2025/02/cleat-wiring-300x165.png 300w, https://howelectrical.com/wp-content/uploads/2025/02/cleat-wiring-768x422.png 768w" sizes="(max-width: 905px) 100vw, 905px" /></p>
<p>The cleat wiring system consists of the following components:</p>
<ol>
<li><strong>Porcelain Cleats (Base and Cap): </strong><span style="font-size: 16px;">The cleats are two-part fixtures, consisting of a base and a cap. </span><span style="font-size: 16px;">The </span><strong style="font-size: 16px;">base</strong><span style="font-size: 16px;"> is fixed onto the wall or ceiling, while the </span><strong style="font-size: 16px;">cap</strong><span style="font-size: 16px;"> secures the wire in place. </span><span style="font-size: 16px;">Cleats are spaced at intervals of </span><strong style="font-size: 16px;">0.4 to 0.6 meters</strong><span style="font-size: 16px;"> to hold the wires firmly.</span></li>
<li><strong>Electrical Wires: </strong><span style="font-size: 16px;">Typically </span><strong style="font-size: 16px;">PVC insulated wires</strong><span style="font-size: 16px;"> or </span><strong style="font-size: 16px;">virgin insulated wires</strong><span style="font-size: 16px;"> are used. </span><span style="font-size: 16px;">These conductors are either </span><strong style="font-size: 16px;">single-core or twin-core</strong><span style="font-size: 16px;"> depending on the requirement.</span></li>
<li><strong>Screws and Fixing Devices: </strong><span style="font-size: 16px;">Screws are used to attach cleats to the surface (wall or ceiling). </span><span style="font-size: 16px;">In some cases, nails or bolts may also be used for added stability.</span></li>
<li><strong>Insulating Bushings: </strong><span style="font-size: 16px;">Insulating bushings are used to prevent wear and tear of wires, especially at bending points.</span></li>
<li><strong>Supporting Structures: </strong><span style="font-size: 16px;">The cleats are mounted on walls, ceilings, or wooden battens to ensure proper support.</span></li>
</ol>
<h3><span style="color: #000080;"><strong>Working Principle of Cleat Wiring</strong></span></h3>
<p>The working of cleat wiring is simple and follows these steps:</p>
<ol>
<li><strong>Fixing the Cleats </strong><span style="font-size: 16px;">The cleats are mounted on walls or ceilings at fixed intervals using screws. </span><span style="font-size: 16px;">The cleats should be evenly spaced (0.4 to 0.6 meters apart).</span></li>
<li><strong>Laying the Conductors: </strong><span style="font-size: 16px;">Insulated electrical wires are placed in the grooves of the cleats. </span><span style="font-size: 16px;">The wires should be straight and not twisted or damaged.</span></li>
<li><strong>Securing the Wires: </strong><span style="font-size: 16px;">The </span><strong style="font-size: 16px;">cleat cap</strong><span style="font-size: 16px;"> is placed over the wire and tightened with screws to hold the wires securely. </span><span style="font-size: 16px;">This ensures proper insulation and prevents the wire from moving or getting damaged.</span></li>
<li><strong>Connection to Supply &amp; Load: </strong><span style="font-size: 16px;">The wires are connected to electrical devices, appliances, and switches according to the circuit requirements. </span><span style="font-size: 16px;">Fuses and circuit breakers are used for protection.</span></li>
<li><strong>Testing &amp; Operation: </strong><span style="font-size: 16px;">The entire wiring system is tested using electrical testing devices to ensure there are no faults. </span><span style="font-size: 16px;">Once tested, the circuit is switched on for operation.</span></li>
</ol>
<h3><span style="color: #000080;"><strong>Advantages of Cleat Wiring</strong></span></h3>
<p>Cleat wiring has several advantages, making it suitable for temporary and low-cost applications:</p>
<ol>
<li><strong>Simple Installation: </strong><span style="font-size: 16px;">The wiring is easy to install and does not require skilled labor.</span></li>
<li><strong>Low Cost: </strong><span style="font-size: 16px;">Cleat wiring is cheaper compared to conduit and casing-capping wiring.</span></li>
<li><strong>Easy Maintenance &amp; Repair: </strong><span style="font-size: 16px;">Faults can be easily detected and repaired without difficulty.</span></li>
<li><strong>Flexibility &amp; Reusability: </strong><span style="font-size: 16px;">The wiring can be removed and reused in different locations if needed.</span></li>
<li><strong>Good Air Circulation: </strong><span style="font-size: 16px;">Since the wires are exposed, heat dissipation is better compared to conduit wiring.</span></li>
<li><strong>No Risk of Electrical Shock: </strong><span style="font-size: 16px;">The use of porcelain cleats ensures proper insulation and reduces shock hazards.</span></li>
</ol>
<h3><span style="color: #000080;"><strong>Disadvantages of Cleat Wiring</strong></span></h3>
<p>Despite its benefits, cleat wiring has several drawbacks:</p>
<ol>
<li><strong>Temporary Wiring System: </strong><span style="font-size: 16px;">It is not suitable for permanent installations due to its low durability.</span></li>
<li><strong>Exposed to Mechanical Damage: </strong><span style="font-size: 16px;">The wires are openly mounted, making them prone to physical damage.</span></li>
<li><strong>Not Suitable for Damp or Harsh Environments: </strong><span style="font-size: 16px;">It is not recommended for outdoor, wet, or industrial areas where exposure to water or chemicals is common.</span></li>
<li><strong>Poor Aesthetic Appeal: </strong><span style="font-size: 16px;">The open wires and cleats do not provide a neat or attractive look compared to concealed wiring.</span></li>
<li><strong>Limited Load Capacity: </strong><span style="font-size: 16px;">Cleat wiring cannot support heavy electrical loads, making it unsuitable for large installations.</span></li>
</ol>
<h3><span style="color: #000080;"><strong>Applications of Cleat Wiring</strong></span></h3>
<p>Cleat wiring is used in the following areas:</p>
<ol>
<li><strong>Temporary Electrical Installations: </strong><span style="font-size: 16px;">Construction sites, exhibition halls, and fairs where wiring needs to be temporary.</span></li>
<li><strong>Rural &amp; Low-Cost Housing: </strong><span style="font-size: 16px;">Used in villages and small residential areas where cost-effective wiring is needed.</span></li>
<li><strong>Workshops &amp; Agricultural Farms: </strong><span style="font-size: 16px;">Provides temporary lighting and power supply for small workshops and agricultural settings.</span></li>
<li><strong>Training &amp; Educational Purposes: </strong><span style="font-size: 16px;">Used in schools and colleges for teaching electrical wiring principles.</span></li>
<li><strong>Testing Laboratories: </strong><span style="font-size: 16px;">Temporary setups in research and electrical testing labs.</span></li>
</ol>
<h3><span style="color: #000080;"><strong>Conclusion</strong></span></h3>
<p>Cleat wiring is a <strong>simple, economical, and easy-to-install</strong> wiring system that is mainly used for temporary electrical setups. While it has several advantages like affordability and easy maintenance, it also comes with limitations such as <strong>low durability, exposure to damage, and limited load capacity</strong>.</p>
<p>The post <a href="https://howelectrical.com/cleat-wiring/">Cleat Wiring: Definition, Parts, Working, Diagram, Advantages, Disadvantages &#038; Applications</a> appeared first on <a href="https://howelectrical.com">Electrical and Electronics Blog</a>.</p>
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		<title>What is an Inductor? Definition, Meaning, Unit, Symbol, Types, Uses &#038; Applications</title>
		<link>https://howelectrical.com/inductor/</link>
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		<pubDate>Tue, 17 Oct 2023 14:08:57 +0000</pubDate>
				<category><![CDATA[Basic Electrical]]></category>
		<category><![CDATA[Basic Electronics]]></category>
		<category><![CDATA[Circuit theory]]></category>
		<category><![CDATA[Electric circuit]]></category>
		<guid isPermaLink="false">https://howelectrical.com/?p=2426</guid>

					<description><![CDATA[<p>An inductor is a coil or electromagnetic device that oppose any change in current. Inductors or coils, probably vary more in design than any other component. Basically, an inductor is a conducting wire wound on an insulator. Inductor is the name of a component. Its value is called as inductance. Construction and Symbol of Inductor Figure [&#8230;]</p>
<p>The post <a href="https://howelectrical.com/inductor/">What is an Inductor? Definition, Meaning, Unit, Symbol, Types, Uses &#038; Applications</a> appeared first on <a href="https://howelectrical.com">Electrical and Electronics Blog</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p>An inductor is a coil or electromagnetic device that oppose any change in current. Inductors or coils, probably vary more in design than any other component. Basically, an inductor is a conducting wire wound on an insulator. Inductor is the name of a component. Its value is called as inductance.<span id="more-2426"></span></p>
<h3><span style="color: #333399;">Construction and Symbol of Inductor</span></h3>
<p><img decoding="async" class=" wp-image-2427 aligncenter" src="https://howelectrical.com/wp-content/uploads/2023/10/Inductor.png" alt="Inductor" width="679" height="312" srcset="https://howelectrical.com/wp-content/uploads/2023/10/Inductor.png 914w, https://howelectrical.com/wp-content/uploads/2023/10/Inductor-300x138.png 300w, https://howelectrical.com/wp-content/uploads/2023/10/Inductor-768x353.png 768w" sizes="(max-width: 679px) 100vw, 679px" /></p>
<p style="text-align: center;"><strong>Figure 1: Inductor.</strong></p>
<p>Fig. 1(a) shows the construction of an inductor and Fig. 1(b) shows its symbol. It is a fixed value inductor. An inductor consists of N turns of a laminated copper wire are wound around an iron core.</p>
<h3><span style="color: #333399;">Unit of Inductor</span></h3>
<p>Inductance is measured in Henry or millihenry or microhenry and it is denoted by L. Henry is a very large unit. Therefore millihenry and microhenry are the another small units used for inductors.</p>
<p>\[\text{1 mH = 1 }\times \text{ 1}{{\text{0}}^{-\text{3}}}\text{ H}\]</p>
<p>\[\text{1  }\!\!\mu\!\!\text{ H = 1 }\times \text{ 1}{{\text{0}}^{-6}}\text{ H}\]</p>
<p>The inductance of a coil is given by,</p>
<p>\[\text{L = }\frac{N\times \phi }{I}\]</p>
<p>Where,</p>
<p>N = Number of turns,</p>
<p>ϕ = Flux</p>
<p>I = Current through the coil.</p>
<p>So the factors affecting the inductance are number of turns, flux linkage and current.</p>
<h3><span style="color: #333399;">Types of Inductor</span></h3>
<p>Inductors are basically categories,</p>
<ol>
<li>Fixed inductors.</li>
<li>Variable inductors.</li>
</ol>
<h4><span style="color: #339966;">1. Types of Fixed Inductor :</span></h4>
<p>The fixed inductors are classified as follows:</p>
<ol>
<li>Air-core inductor.</li>
<li>Iron-core inductor.</li>
<li>Ferrite-core inductors.</li>
</ol>
<p><span style="color: #800000;"><strong>1. Air-core inductor :</strong></span></p>
<p><img decoding="async" class="size-full wp-image-2429 aligncenter" src="https://howelectrical.com/wp-content/uploads/2023/10/Air-core-inductor-1.png" alt="Air-core inductor" width="298" height="58" /></p>
<p style="text-align: center;"><strong>(a) Symbol</strong></p>
<p><img loading="lazy" decoding="async" class="size-full wp-image-2430 aligncenter" src="https://howelectrical.com/wp-content/uploads/2023/10/What-is-Air-core-inductor.png" alt="What is Air-core inductor" width="527" height="268" srcset="https://howelectrical.com/wp-content/uploads/2023/10/What-is-Air-core-inductor.png 527w, https://howelectrical.com/wp-content/uploads/2023/10/What-is-Air-core-inductor-300x153.png 300w" sizes="auto, (max-width: 527px) 100vw, 527px" /></p>
<p style="text-align: center;"><strong>(b) Construction</strong></p>
<p style="text-align: center;"><strong>Figure 2: Air-core Inductor.</strong></p>
<p>In this inductor, the coil is wound on a plastic or cardboard core. Therefore, effectively the air acts as core. The symbol of air core inductor is shown in Fig. 2.</p>
<p><span style="color: #993366;"><strong>Construction :</strong></span></p>
<p>The construction of an air-core inductor is shown in Fig. 2. In the construction of air core inductors, a core is made up of ceramics, plastic or cardboard type insulating material. The conductive wire is wound on this core hence there is air inside the coil.</p>
<p><span style="color: #993366;"><strong>Applications :</strong></span></p>
<ol>
<li>They are used for intermediate or radio frequency (I.F. or R.F.) applications in tuning coils.</li>
<li>For inter-stage coupling.</li>
<li>IF. coils.</li>
<li>Iron-core inductor :</li>
</ol>
<p><strong style="color: #800000; font-size: 16px;">2. Iron-core inductor :</strong></p>
<p><img loading="lazy" decoding="async" class="size-full wp-image-2431 aligncenter" src="https://howelectrical.com/wp-content/uploads/2023/10/iron-core-inductor.png" alt="iron core inductor" width="254" height="81" /></p>
<p style="text-align: center;"><strong>(a) Symbol</strong></p>
<p><img loading="lazy" decoding="async" class="size-full wp-image-2432 aligncenter" src="https://howelectrical.com/wp-content/uploads/2023/10/What-is-iron-core-inductor.png" alt="What is iron core inductor" width="702" height="356" srcset="https://howelectrical.com/wp-content/uploads/2023/10/What-is-iron-core-inductor.png 702w, https://howelectrical.com/wp-content/uploads/2023/10/What-is-iron-core-inductor-300x152.png 300w" sizes="auto, (max-width: 702px) 100vw, 702px" /></p>
<p style="text-align: center;"><strong>(b) Construction</strong></p>
<p style="text-align: center;"><strong>Figure 3: Iron core Inductor.</strong></p>
<p>An iron core inductor is a coil in which solid or laminated iron or other magnetic material forms a part or all of the magnetic circuit linking its winding. It is also known as iron-core choke. Iron core inductors have a high inductance value but they cannot operate at high frequency due to hysteresis and eddy current losses. Iron core increases the magnetic induction of a coil of wire. Because iron has high permeability, it allows more magnetic lines of flux to concentrate the core thereby increasing the electromagnetic induction.</p>
<p><span style="color: #993366;"><strong>Construction :</strong></span></p>
<p>Iron core inductor consists of coil wound over a solid or laminated iron core. The construction of iron core inductor is shown in Fig. 3. The material used for the iron core inductor is Silicon steel which is composed of iron with some percent of silicon. The iron core is laminated to avoid eddy current losses. The laminated iron-core consists of thin iron laminations pressed together but insulated from each other. Low frequency iron cored chokes are used as filter chokes to smooth out ripple in the rectified ac supply amplifier stages and in other d.c. applications. The core materials most commonly used for smoothing chokes are, silicon iron laminations and grain oriented silicon iron.</p>
<p><span style="color: #993366;"><strong>Applications :</strong></span></p>
<p>The iron core inductors are used in the dc power supply filter circuits and other low frequency applications.</p>
<p><strong><span style="color: #800000;">3. Ferrite core inductor :</span></strong></p>
<p><img loading="lazy" decoding="async" class=" wp-image-2433 aligncenter" src="https://howelectrical.com/wp-content/uploads/2023/10/Ferrite-core-inductor.png" alt="Ferrite core inductor" width="695" height="741" srcset="https://howelectrical.com/wp-content/uploads/2023/10/Ferrite-core-inductor.png 986w, https://howelectrical.com/wp-content/uploads/2023/10/Ferrite-core-inductor-281x300.png 281w, https://howelectrical.com/wp-content/uploads/2023/10/Ferrite-core-inductor-961x1024.png 961w, https://howelectrical.com/wp-content/uploads/2023/10/Ferrite-core-inductor-768x819.png 768w" sizes="auto, (max-width: 695px) 100vw, 695px" /></p>
<p style="text-align: center;"><strong>Figure 4: Ferrite core Inductor.</strong></p>
<p>Ferrite is an artificially prepared non-metallic material using sintered iron oxide with other metal ions to control magnetic properties. If the coil of wire is wound on a solid core made of highly ferromagnetic substance called ferrite. Fig. 4 shows the symbol of ferrite core inductor. Ferrite is a ferrous magnetic material. In this type of inductor, wire is wound on a ferrite core.</p>
<p><span style="color: #993366;"><strong>Construction :</strong></span></p>
<p>The construction of a ferrite core inductor is as shown in Fig. 4. Ferrites are ceramic materials composed of oxides of iron and other magnetic material. It is used at a high and medium frequency because it has high permeability with low loss, so it is more effective than iron core inductor. These inductors usually employ pot cores i.e. cores consisting of an outer cylinder with closed end. The winding is placed in annular space. The air- gap is introduced in the central core. We can choose a suitable length of this air gap, in order to change the properties of the pot to suit a wide range of design requirements.</p>
<p><span style="color: #993366;"><strong>Applications :</strong></span></p>
<ol>
<li>These are used at high and medium frequencies.</li>
<li>Ferrite rod antenna.</li>
</ol>
<h3><span style="color: #000080;"><strong>Specifications of inductor</strong></span></h3>
<ol>
<li>Inductance value.</li>
<li>Q factor value.</li>
<li>Operating frequency range.</li>
<li>Power dissipation.</li>
<li>Core type.</li>
<li>Size and mounting requirements.</li>
<li>Stary capacitance.</li>
</ol>
<p>The post <a href="https://howelectrical.com/inductor/">What is an Inductor? Definition, Meaning, Unit, Symbol, Types, Uses &#038; Applications</a> appeared first on <a href="https://howelectrical.com">Electrical and Electronics Blog</a>.</p>
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		<title>What is Megger? Working, Construction, Diagram &#038; Applications</title>
		<link>https://howelectrical.com/megger/</link>
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		<pubDate>Fri, 04 Mar 2022 22:03:13 +0000</pubDate>
				<category><![CDATA[Basic Electrical]]></category>
		<category><![CDATA[Electric circuit]]></category>
		<guid isPermaLink="false">https://howelectrical.com/?p=322</guid>

					<description><![CDATA[<p>Megger is a portable instrument for measuring high resistances in which the voltage range can be controlled by using a voltage selector switch. It is not only used for measurement of high resistances (insulation resistance), but also can be used for testing of insulation resistance. One more advantage is that deflection of the instrument is [&#8230;]</p>
<p>The post <a href="https://howelectrical.com/megger/">What is Megger? Working, Construction, Diagram &#038; Applications</a> appeared first on <a href="https://howelectrical.com">Electrical and Electronics Blog</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p>Megger is a portable instrument for measuring high resistances in which the voltage range can be controlled by using a voltage selector switch. It is not only used for measurement of high resistances (insulation resistance), but also can be used for testing of insulation resistance. One more advantage is that deflection of the instrument is independent of magnetic field strength. It is calibrated directly in mega ohms and also it is known as mega ohmmeter.</p>
<p><img loading="lazy" decoding="async" class="size-full wp-image-323 aligncenter" src="https://howelectrical.com/wp-content/uploads/2022/03/Megger.png" alt="Megger" width="1034" height="748" srcset="https://howelectrical.com/wp-content/uploads/2022/03/Megger.png 1034w, https://howelectrical.com/wp-content/uploads/2022/03/Megger-300x217.png 300w, https://howelectrical.com/wp-content/uploads/2022/03/Megger-1024x741.png 1024w, https://howelectrical.com/wp-content/uploads/2022/03/Megger-768x556.png 768w" sizes="auto, (max-width: 1034px) 100vw, 1034px" /></p>
<p style="text-align: center;"><strong>Fig, 1: Internal Diagram of Megger.</strong><span id="more-322"></span></p>
<h3><span style="color: #000080;">Working Principle of Megger</span></h3>
<p>The principle of working of megger is based on electromagnetic induction. When a conductor carrying current is kept in a magnetic field. then the conductor exerts a force which is proportional to the strength and capacity of the current and magnetic field. The direction of the force is along the direction of current and magnetic field.</p>
<h3><span style="color: #000080;">Construction of Megger</span></h3>
<p>Megger consists of current coil or PMMC instrument and pressure coils (see Fig. 1). There are two pressure or voltage coils. All these coils are placed around an annular iron ring on a common shaft which rotates freely. Ligaments are the flexible leads which connect the coils. The C-shaped iron core has a deflecting coil on to which pointer is attached. The pointer indicates the deflection over the graduated scale. A hand driven generator is provided in instrument in order to generate the operation of megger. If the scale is calibrated in reverse, the pointer indicates ‘∞’ and if the scale is fully deflected, then the pointer indicates &#8216;0’ resistance.</p>
<h3><span style="color: #000080;">Working of Megger</span></h3>
<p>Current is passed to the coils from the hand driven generator. The pressure coils are set in such a way that it stands perpendicular to the magnetic field. If the test terminals are kept open corresponding to ‘∞’ Ω then the current does not flow through the coil (deflection). The pressure coil controls the movement of deflecting coil and makes it to come in opposite direction, when the pointer is at ‘∞’ position, small torque is exerted by the coil. If the test terminals are kept shorted corresponding to ‘0’ Ω, then the large current flows through the deflecting coil. The torque exerted by the coil is increased by making it to move in strong magnetic field. When the pointer is at ‘0’ position, maximum torque is exerted under the pole piece.</p>
<p>The effect of this instrument decreases the “low resistance” and sets up ‘high resistance” portion of the scale. This effect is beneficial to use as insulation test because the insulation resistances are large.</p>
<h3><span style="color: #000080;">Applications of Megger</span></h3>
<ol>
<li>Megger checks the continuity between any two points in a circuit.</li>
<li>It determines the resistance between the equipment and the earth.</li>
<li>It performs the various tests in industries such as.</li>
</ol>
<p>(i) Open circuit (O.C.) tests</p>
<p>(ii) Short &#8211; circuit (S.C.) tests</p>
<p>(iii) Ground tests.</p>
<p>The post <a href="https://howelectrical.com/megger/">What is Megger? Working, Construction, Diagram &#038; Applications</a> appeared first on <a href="https://howelectrical.com">Electrical and Electronics Blog</a>.</p>
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		<title>What is Thevenin&#8217;s Theorem? Statement, Formula, Steps &#038; Examples</title>
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		<pubDate>Mon, 28 Feb 2022 15:05:27 +0000</pubDate>
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					<description><![CDATA[<p>Thevenin&#8217;s Theorem is very useful particularly when the current in one branch of a network is to be determined. Statement of Thevenin&#8217;s Theorem Thevenin's Theorem states that for the purpose of determining the current through a resistor RL (called load resistance) connected across any two terminals A and B of a linear bilateral network with [&#8230;]</p>
<p>The post <a href="https://howelectrical.com/thevenin-theorem/">What is Thevenin&#8217;s Theorem? Statement, Formula, Steps &#038; Examples</a> appeared first on <a href="https://howelectrical.com">Electrical and Electronics Blog</a>.</p>
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										<content:encoded><![CDATA[<p>Thevenin&#8217;s Theorem is very useful particularly when the current in one branch of a network is to be determined.</p>
<h3><span style="color: #000080;">Statement of Thevenin&#8217;s Theorem</span></h3>
<pre>Thevenin's Theorem states that for the purpose of determining the current through a resistor R<sub>L</sub> (called load resistance) connected across any two terminals A and B of a linear bilateral network with constant resistances, and constant voltage and current sources (Fig. 1 a), the network excluding R<sub>L</sub> (enclosed by dotted line in Fig. 1 a), can be replaced by a single source of e.m.f. and a series resistor (enclosed by dotted line in Fig. 1 b) where

(i) this e.m.f is equal to the open-circuit voltage, say V<sub>o</sub>, between the terminals under consideration (i.e. the voltage across the two terminals A and B with R<sub>L</sub> removed) and,

(ii) the resistance of the series resistor, say R<sub>o</sub>, is equal to the resistance of the network as viewed from the terminals A and B with the load resistance R<sub>L</sub> removed amid all sources replaced by their internal resistances.</pre>
<p><span id="more-272"></span>Hence, the current through R<sub>L</sub>,</p>
<p>\[\text{I }=\text{ }\frac{{{\text{V}}_{\text{o}}}}{{{\text{R}}_{\text{o}}}+{{\text{R}}_{\text{L}}}}\]</p>
<p><img loading="lazy" decoding="async" class=" wp-image-278 aligncenter" src="https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem.png" alt="Thevenin's Theorem" width="512" height="468" srcset="https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem.png 490w, https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem-300x274.png 300w" sizes="auto, (max-width: 512px) 100vw, 512px" /></p>
<p style="text-align: center;"><strong>(a)</strong></p>
<p><img loading="lazy" decoding="async" class="wp-image-279 aligncenter" src="https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem-Statement.png" alt="Thevenin's Theorem Statement" width="413" height="332" srcset="https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem-Statement.png 354w, https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem-Statement-300x241.png 300w" sizes="auto, (max-width: 413px) 100vw, 413px" /></p>
<p style="text-align: center;"><strong>(b)</strong></p>
<p style="text-align: center;"><strong>Fig. 1: General two-terminal network with Thevenin’s equivalent circuit.</strong></p>
<h3><span style="color: #000080;">Thevenin&#8217;s Theorem Formula</span></h3>
<p>Current through the load resistance connected across any two terminals A and B of a linear bilateral network with constant resistances, constant voltage and current sources,</p>
<p>\[\text{I }=\text{ }\frac{{{\text{V}}_{\text{o}}}}{{{\text{R}}_{\text{o}}}+{{\text{R}}_{\text{L}}}}\]</p>
<p>where</p>
<p>R<sub>L</sub> = Load resistance connected across the terminals A and B.</p>
<p>V<sub>0</sub> = Thevenin’s equivalent voltage i.e. the open-circuit voltage between the terminals A and B with the load resistance R<sub>L</sub> removed.</p>
<p>R<sub>0</sub> = Thevenin’s equivalent resistance i.e. the resistance of the network as viewed from the terminals A and B with the load resistance R<sub>L</sub> removed and all sources replaced by their internal resistances.</p>
<h3><span style="color: #000080;">Explanation of Thevenin&#8217;s Theorem</span></h3>
<p>To understand the application of the above theorem more clearly, let us consider the network shown in Fig. 2 (a). It consists of resistors R<sub>1</sub>, R<sub>2</sub>, and R<sub>L</sub>, and a battery having an e.m.f. E and an internal resistance r. If it is required to find the current through a load resistance R<sub>L</sub> using Thevenin’s theorem, the procedural steps are as follows:</p>
<p><strong>(i)</strong> Remove the load resistance R<sub>L</sub> from the terminals A and B and find the open-circuit voltage V<sub>0</sub> between these terminals. Referring to Fig. 2 (b), it is obvious that</p>
<p>\[\text{Current through }{{\text{R}}_{\text{1}}}=\text{ }\frac{\text{E}}{{{\text{R}}_{\text{1}}}+\text{r}}\]</p>
<p>and</p>
<p>\[\text{p}\text{.d across }{{\text{R}}_{\text{1}}}=\text{ }\frac{\text{E }{{\text{R}}_{\text{1}}}}{{{\text{R}}_{\text{1}}}+\text{r}}\]</p>
<p>Since, no current is flowing through R<sub>2</sub>, open-circuit voltage across the terminals A and B is</p>
<p>\[{{\text{V}}_{\text{o}}}=\text{ }\frac{\text{E }{{\text{R}}_{\text{1}}}}{{{\text{R}}_{\text{1}}}+\text{r}}\]</p>
<p><img loading="lazy" decoding="async" class="size-full wp-image-285 aligncenter" src="https://howelectrical.com/wp-content/uploads/2022/02/What-is-Thevenins-Theorem-Examples.png" alt="What is Thevenin's Theorem Examples" width="544" height="475" srcset="https://howelectrical.com/wp-content/uploads/2022/02/What-is-Thevenins-Theorem-Examples.png 544w, https://howelectrical.com/wp-content/uploads/2022/02/What-is-Thevenins-Theorem-Examples-300x262.png 300w" sizes="auto, (max-width: 544px) 100vw, 544px" /></p>
<p style="text-align: center;"><strong>(a)</strong></p>
<p><img loading="lazy" decoding="async" class="size-full wp-image-286 aligncenter" src="https://howelectrical.com/wp-content/uploads/2022/02/What-is-Thevenins-Theorem-Statement.png" alt="What is Thevenin's Theorem Statement" width="521" height="460" srcset="https://howelectrical.com/wp-content/uploads/2022/02/What-is-Thevenins-Theorem-Statement.png 521w, https://howelectrical.com/wp-content/uploads/2022/02/What-is-Thevenins-Theorem-Statement-300x265.png 300w" sizes="auto, (max-width: 521px) 100vw, 521px" /></p>
<p style="text-align: center;"><strong>(b)</strong></p>
<p><img loading="lazy" decoding="async" class="size-full wp-image-284 aligncenter" src="https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem-Steps.png" alt="Thevenin's Theorem Steps" width="519" height="426" srcset="https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem-Steps.png 519w, https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem-Steps-300x246.png 300w" sizes="auto, (max-width: 519px) 100vw, 519px" /></p>
<p style="text-align: center;"><strong>(c)</strong></p>
<p><img loading="lazy" decoding="async" class="size-full wp-image-282 aligncenter" src="https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem-Examples.png" alt="Thevenin's Theorem Examples" width="569" height="436" srcset="https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem-Examples.png 569w, https://howelectrical.com/wp-content/uploads/2022/02/Thevenins-Theorem-Examples-300x230.png 300w" sizes="auto, (max-width: 569px) 100vw, 569px" /></p>
<p style="text-align: center;"><strong>(d)</strong></p>
<p style="text-align: center;"><strong>Fig. 2: Circuits to illustrate Thevenin’s theorem</strong></p>
<p><strong>(ii)</strong> With the load resistance R<sub>L</sub> removed and the battery replaced by its internal resistance r as shown in Fig. 2 (c), find the Thevenin’s equivalent resistance R<sub>0</sub> of the network as viewed from the terminals A and B. Obviously,</p>
<p>\[{{\text{R}}_{\text{o}}}=\text{ }{{\text{R}}_{\text{2}}}+\text{ }\frac{\text{r }{{\text{R}}_{\text{1}}}}{{{\text{R}}_{\text{1}}}+\text{r}}\]</p>
<p><strong>(iii)</strong> Replace the entire network enclosed by the dotted line in Fig. 2 (a) by the Thevenin’s equivalent circuit consisting of single voltage source with e.m.f. equal to V<sub>0</sub> and internal resistance equal to R<sub>0</sub> as illustrated in Fig. 2 (d).</p>
<p><strong>(iv)</strong> Finally, from the simple circuit of Fig. 2 (d), calculate the current I flowing through the load resistance R<sub>L</sub> using the expression</p>
<p>\[\text{I }=\text{ }\frac{{{\text{V}}_{\text{o}}}}{{{\text{R}}_{\text{1}}}+{{\text{R}}_{\text{L}}}}\]</p>
<h3><span style="color: #000080;">Examples of Thevenin&#8217;s Theorem</span></h3>
<p>Example 1 : Using Thevenin&#8217;s theorem, calculate the current in the 15 Ω resistor in the network shown in Fig. 3.</p>
<p><img loading="lazy" decoding="async" class="size-full wp-image-300 aligncenter" src="https://howelectrical.com/wp-content/uploads/2022/02/Thevenin-Theorem-Statement.png" alt="Thevenin Theorem Statement" width="489" height="281" srcset="https://howelectrical.com/wp-content/uploads/2022/02/Thevenin-Theorem-Statement.png 489w, https://howelectrical.com/wp-content/uploads/2022/02/Thevenin-Theorem-Statement-300x172.png 300w" sizes="auto, (max-width: 489px) 100vw, 489px" /></p>
<div class="mceTemp"></div>
<div class="mceTemp"></div>
<p style="text-align: center;">Fig. 4.</p>
<p>Solution 1: For convenience, the network under consideration is redrawn in Fig. 3. Open circuiting the branch containing 15 Ω resistor gives the network shown in Fig. 4 (a). To calculate the open-circuit voltage V<sub>0</sub> across the terminals A and B, assume a current I<sub>1</sub> in the direction shown. Applying the Kirchhoff’s voltage law to the outer loop, we get</p>
<p style="text-align: center;">120 &#8211; 25I<sub>1</sub> &#8211; 5I<sub>1</sub> &#8211; 90 = 0</p>
<p>∴                                           I<sub>1</sub> = 1 A</p>
<p style="text-align: center;"><img loading="lazy" decoding="async" class="size-full wp-image-297" style="font-weight: bold; background-color: transparent; color: #707070; font-family: 'Noto Sans', sans-serif; text-align: inherit;" src="https://howelectrical.com/wp-content/uploads/2022/02/What-is-Thevenin-Theorem.png" alt="What is Thevenin Theorem" width="484" height="281" srcset="https://howelectrical.com/wp-content/uploads/2022/02/What-is-Thevenin-Theorem.png 484w, https://howelectrical.com/wp-content/uploads/2022/02/What-is-Thevenin-Theorem-300x174.png 300w" sizes="auto, (max-width: 484px) 100vw, 484px" /></p>
<p style="text-align: center;"><strong>(a)</strong></p>
<p><img loading="lazy" decoding="async" class="size-full wp-image-296 aligncenter" src="https://howelectrical.com/wp-content/uploads/2022/02/Thevenin-Theorem.png" alt="Thevenin Theorem" width="439" height="284" srcset="https://howelectrical.com/wp-content/uploads/2022/02/Thevenin-Theorem.png 439w, https://howelectrical.com/wp-content/uploads/2022/02/Thevenin-Theorem-300x194.png 300w" sizes="auto, (max-width: 439px) 100vw, 439px" /></p>
<p style="text-align: center;"><strong>(b)</strong></p>
<p style="text-align: center;"><strong>Fig. 4: (a) Network of Fig. 4 with the 15  resistor removed, (b) Network of Fig. 4 (a) with voltage sources suppressed.</strong></p>
<p>From the voltage law, the open-circuit voltage across the terminals A and B is then</p>
<p style="text-align: center;">V<sub>o</sub> = 120 &#8211; 25 × 1 = 95 V</p>
<p>To determine the Thevenin’s equivalent resistance R<sub>o</sub>, the voltages of the sources are reduced to zero and the resistance between the terminals A and B is calculated. Fig. 4 (b) shows the network after the suppression of the voltage sources. The 25 Ω and 5 Ω resistances being in parallel between the terminals A and B,</p>
<p><img loading="lazy" decoding="async" class=" wp-image-295 aligncenter" src="https://howelectrical.com/wp-content/uploads/2022/02/Thevenin-Theorem-Examples.png" alt="Thevenin Theorem Examples" width="351" height="310" /></p>
<p style="text-align: center;"><strong>Fig. 5 : Thevenin’s equivalent of the circuit of Fig. 3.</strong></p>
<p>The Thevenin’s equivalent circuit for the network of Fig. 4 (a) between the terminals A and B with 15 Ω resistance added is then as shown in Fig. 5. Hence, current through 15 Ω resistance is</p>
<p>\[\text{I }=\text{ }\frac{{{\text{V}}_{\text{o}}}}{{{\text{R}}_{\text{1}}}+{{\text{R}}_{\text{L}}}}\text{ }=\text{ }\frac{\text{95}}{\text{401667}+\text{15}}\]</p>
<p>\[=\text{ 4}\text{.9565 A}\]</p>
<p>The post <a href="https://howelectrical.com/thevenin-theorem/">What is Thevenin&#8217;s Theorem? Statement, Formula, Steps &#038; Examples</a> appeared first on <a href="https://howelectrical.com">Electrical and Electronics Blog</a>.</p>
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