For a moving coil galvanometer, the deflection in the coil is 0.05 rad when a current of 10 mA is passed through it. [2023]

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Solution

Q.
For a moving coil galvanometer, the deflection in the coil is 0.05 rad when a current of 10 mA is passed through it. If the torsional constant of suspension wire is $4.0 \times 10^{- 5} {Nm rad}^{- 1}$ , the magnetic field is 0.01 T and the number of turns in the coil is 200, the area of each turn (in ${cm}^{2}$ ) is [2023]

1 2.0

2 1.0

3 1.5

4 0.5

Ans.
(2)

$τ = K θ$

$N i A B = K θ$

$A = \frac{K θ}{N i B} = \frac{4 \times 10^{- 5} \times 0.05}{200 \times 10 \times 10^{- 3} \times 0.01}$

$On solving, A = 10^{- 4} m^{2} = 1 {cm}^{2}$

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