Q. Resistances and are connected to form a triangle. If a cell of negligible internal resistance is connected across the resistor, the current flowing through this resistor will be

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Solution:

Equivalent resistance between and series combination of and in parallel with resistor.

So net resistance across the battery is given by

or .
total current supplied by the battery,

Since, the resistance in arm resistance in arm , the current is divided equally in the two arms.
Hence, the current through the resistor = .