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Question: When 2 *amp*. current is passed through a tangent galvanometer, it gives a deflection of 30°. For 6...

When 2 amp. current is passed through a tangent

galvanometer, it gives a deflection of 30°. For 60° deflection, The current must be

A

1 amp.

B

232 \sqrt { 3 }amp.

C

4 amp.

D

6 amp.

Answer

6 amp.

Explanation

Solution

By using

itanθi1i2=tanθ1tanθ22i2=tan30tan60=13i2=6i \propto \tan \theta \Rightarrow \frac { i _ { 1 } } { i _ { 2 } } = \frac { \tan \theta _ { 1 } } { \tan \theta _ { 2 } } \Rightarrow \frac { 2 } { i _ { 2 } } = \frac { \tan 30 ^ { \circ } } { \tan 60 ^ { \circ } } = \frac { 1 } { 3 } \Rightarrow i _ { 2 } = 6amp.