If the galvanometer G does not show any deflection in the circuit shown, the value of R is given by [2023]

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Solution

Q.
If the galvanometer G does not show any deflection in the circuit shown, the value of R is given by [2023]

1 100 $Ω$

2 400 $Ω$

3 200 $Ω$

4 50 $Ω$

Ans.
(1)

Since galvanometer shows no deflection, thus voltage across $R$ is $2 V$ .

Now, voltage across $R$ is, $V = \frac{10 R}{400 + R}$

or $2 = \frac{10 R}{400 + R} \Rightarrow R = 100 Ω$

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