Sunday 22 May 2016

DC NETWORK THEOREMS – PART – 08 – COMPENSATION THEOREM

Compensation theorem is useful in finding the changes in current or voltage when the value of resistance is changed in the circuit.
COMPENSATION THEOREM
This theorem states that If the resistance of any branch of a network is changed from R to (R + ΔR) where the current was originally I, then the change of current at any point in the network may be calculated by assuming than an e.m.f. – IΔR has been introduced into the modified branch while all other sources have their e.m.f.s suppressed and are represented by their internal resistance only.
[OR]

This theorem states that any element in the linear, bilateral network, may be replaced by a voltage source of magnitude equal to the current passing through the element multiplied by the value of the element, provided the currents and voltages in other parts of the circuit remain unaltered.

APPLICATIONS

This theorem is useful to calculate the sensitivity of electrical networks and bridges and it is also useful in potentiometer circuits, where a slight change in one resistance results in a shift from a null condition. 

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