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Question

# In the electrical circuit shown in figure the current through the galvanometer will be zero if the value of resistance x is

A
4 ohm
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B
8 ohm
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C
16 ohm
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D
24 ohm
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Solution

## The correct option is D 24 ohmThe given circuit is Wheatstone's bridge.The current through the galvanometer will be zero if the bridge is balanced PQ+RS where P = 2+3 =5 ohm, Q = 10 ohm and R=4 ohm The value of S is given by 510=4S or S= 8 ohm thus the effective resistance of the parallel combination of 12 ohm and x ohm must be 8 ohm therefore 112+1x=18 which gives x = 24 ohm

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