Compensation Theorem

Compensation Theorem

Compensation Theorem:

This theorem is particularly useful for the following two purposes :

(a) For analysing those networks where the values of the branch elements are varied and for studying the effect of tolerance on such values.

(b) For calculating the sensitivity of bridge network.

As applied to d.c. circuits, it may be stated in the following for ways :

What is compensation theorem

(i) In its simplest form, this theorem asserts that

 

Any resistance R in a branch of a network in which a current I is flowing can be replaced, for the purposes of calculations, by a voltage equal to – IR.


OR

(ii) If the resistance of any branch of network is changed from R to (R + ΔR) where the current flowing originally is I, the change of current at any other place in the network may be calculated by assuming that an e.m.f. – I. ΔR has been injected into the modified branch while all other sources have their e.m.f.s. suppressed and are represented by their internal resistances only.

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