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Question: When 2 amperes current is passed through a tangent galvanometer, it gives a deflection of 30<sup>o</...

When 2 amperes current is passed through a tangent galvanometer, it gives a deflection of 30o. For 60o deflection, the current must be

A

1 amp

B

23amp2 \sqrt { 3 } \mathrm { amp }

C

4 amp

D

6 amp

Answer

6 amp

Explanation

Solution

itanϕi1i2=tanϕ1tanϕ2i \propto \tan \phi \Rightarrow \frac { i _ { 1 } } { i _ { 2 } } = \frac { \tan \phi _ { 1 } } { \tan \phi _ { 2 } }

2i2=tan30tan60i2=6amp\Rightarrow \frac { 2 } { i _ { 2 } } = \frac { \tan 30 } { \tan 60 } \Rightarrow i _ { 2 } = 6 \mathrm { amp }