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Questions  

In the circuit shown, the variable resistance X is to be adjusted such that the ideal ammeter reads the same in both the positions of the key,
when connected independently to 1 and then to 2. The reading of the ammeter is 2 A. If E = 10 V then X is

a
5  Ω
b
20  Ω
c
50  Ω
d
cannot be determined

detailed solution

Correct option is A

In position (1) : ε−ir=0 ⇒  ε=2rNow, in position (2): ε−ir+E−iX=0 ⇒   2r−2r+10−2X=0      ⇒    X=5Ω

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