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Question: In a tangent galvanometer a current of 0.1 A produces a deflection of 30° . The current required to ...

In a tangent galvanometer a current of 0.1 A produces a deflection of 30° . The current required to produce a deflection of 60° is

A

(a) 0.2 A

A

(b) 0.3 A

A

(c) 0.4 A

A

(d) 0.5 A

Explanation

Solution

(b)

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

0.1i2=tan30tan60=13i2=0.3 A\Rightarrow \frac { 0.1 } { i _ { 2 } } = \frac { \tan 30 ^ { \circ } } { \tan 60 ^ { \circ } } = \frac { 1 } { 3 } \Rightarrow i _ { 2 } = 0.3 \mathrm {~A}