Use Kirchhoff’s rules to obtain conditions for the balance condition in a Wheatstone bridge.

By applying Kirchhoff’s first law at point A, we get:
----- (i)
By applying Kirchhoff’s second law to closed mesh ABDA
---- (ii)
By applying Kirchhoff’s second law to closed mesh BCDB
------ (iii)
By dividing equation (ii) by (iii), we get;

This is the condition of balance Wheatstone’s bridge.
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