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Question

Physics Question on Electrical Instruments

In a tangent galvanometer, a current of 1A produces a deflection of 30?. The current required to produce a deflection of 60? is

A

3A

B

2A

C

4A

D

1A

Answer

3A

Explanation

Solution

Current in tangent galvanometer
I=HGtanθI=\frac{H}{G}tan\theta
Where G = galvanometer constant
H= earth's horizontal field = constant
I1I2=tanθ1tanθ2II2=tan30tan60\therefore \frac{I_1}{I_2}=\frac{tan\theta_1}{tan\theta_2} \Rightarrow \frac{I}{I_2}=\frac{tan30^{\circ}}{tan60^{\circ}}
I2=tan60tan30=1.73210.5774=2.999A˙\Rightarrow I_2 = \frac{tan60^{\circ}}{tan30^{\circ}}=\frac{1.7321}{0.5774}=2.999 \dot{A}
I2=3A\Rightarrow I_2=3A