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Question: When \(\sqrt { 3 }\)ampere current is passed in a tangent galvanometer, there is a deflection of 30°...

When 3\sqrt { 3 }ampere current is passed in a tangent galvanometer, there is a deflection of 30° in it. The deflection obtained when 3 amperes current is passed, is

A

30°

B

45°

C

60°

D

75°

Answer

45°

Explanation

Solution

itanθi1i2=tanθ1tanθ233=tan30tanθ2θ=45i \propto \tan \theta \Rightarrow \frac { i _ { 1 } } { i _ { 2 } } = \frac { \tan \theta _ { 1 } } { \tan \theta _ { 2 } } \Rightarrow \frac { \sqrt { 3 } } { 3 } = \frac { \tan 30 ^ { \circ } } { \tan \theta _ { 2 } } \Rightarrow \theta = 45 ^ { \circ }