electrical4u.com logo Home MCQ Engineering Calculators Videos Basic Electrical Circuit Theories Electrical Laws Materials Batteries Illumination Generation Transmission Distribution Switchgear Protection Measurement Control System Utilities Safety Transformer Motor Generator Electrical Drives Electronics Devices Power Electronics Digital Electronics Biomedical Instrumentation

Compensation Theorem

Published on 24/2/2012 & updated on 9/8/2018
HOME / CIRCUIT THEORY / CIRCUIT THEOREM

Concept of Compensation Theorem

This theorem is based on one basic concept. According to Ohm’s law, when current flows through any resistor, there would be a voltage drop across the resistor. This dropped voltage opposes the source voltage. Hence voltage drop across a resistance in any network can be assumed as a voltage source acting opposite to the source voltage. The compensation theorem depends upon this concept.

Explanation of Compensation Theorem

According to this theorem, any resistance in a network may be replaced by a voltage source that has zero internal resistance and a voltage equal to the voltage drop across the replace resistance due to the current which was flowing through it.

This imaginary voltage source is directed opposite to the voltage source of that replaced resistance. Think about a resistive branch of any complex network that's value is R. Let's assume current I is flowing through that resistor R and voltage drops due to this current across the resistor is V = I.R. According to compensation theorem, this resistor can be replaced by a voltage source that's generated voltage will be V (= IR) and will be directed against the direction of network voltage or direction of current I.

Related pages
Compensation Theorem

Example of Compensation Theorem

The compensation theorem can easily be understood by this following example. compensation theorem

Here in the network for 16V source, all the currents flowing through the different resistive branches are shown in the first figure. The current through the right most branch in the figure is 2A and its resistance is 2 Ω. If this right most branch of the network is replaced by a voltage source directed as shown in the second figure, then current through the other branches of the network will remain the same as shown in the second figure. compensation theorem




Please Rate this Article
4.5
⚑ 2 total
5
4
3
2
1


New Articles
More Articles on Circuit Theory
Circuit and NetworkCircuit AnalysisTwo Port NetworkRL CircuitMatrixOp-ampRLC Circuit
Articles Categories
Write for Us
Home
Basic Electrical
Electric Transformer
Electric Generator
Electric Motor
Electrical MCQ
Engineering Calculators
Video Lectures
Electrical Generation
Electric Transmission
Switchgear
Electric Protection
Electrical Measurement
Electronics Devices
Power Electronics
Digital Electronics