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Mixed Combination of Cells

In the circui...

Question

In the circuit shown, the galvanometer shows zero deflections. The batteries have negligible internal resistance. The value of the resistor R is

A

$200 Ω$

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B

$100 Ω$

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C

$500 Ω$

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D

$1000 Ω$

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Solution

The correct option is B
$100 Ω$

EDCFE: 2 = $i_{2}$ R as $i_{1}$ =0 --(1) ABCFA : 12 – 500 $i_{2}$ – R $i_{2}$ = 0--(2)From (1) and (2) R = 100 ohms

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