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In the electrical circuit shown in figure the current through the galvanometer will be zero if the value of resistance x is In The Electrical Circuit Shown In Figure The Current Throug...
Options:
A .  4 ohm
B .  8 ohm
C .  16 ohm
D .  24 ohm
Answer: Option D
:
D
The 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 =5ohm, Q = 10ohm and R=4ohm
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 = 24ohm

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