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Question

The radius of each coil of a Helmholtz galvanometer is 0.1m and number of turns in each is 25. When a current is passed in it then the deflection of magnetic needle observed as 45o. If the horizontal component of earth's magnetic field is 0.314×104T then the value of current will be

A
0.14A
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B
0.28A
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C
0.42A
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D
0.07A
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Solution

The correct option is A 0.14A
By Tangent Law: B=BHtanθ
For Helmholtz galvanometer B=8μ0NI55R
8μ0NI55R=BHtanθ
Here, θ=45o,BH=0.314×104 T, R=0.1 m, N=25
8×4π×107×25I55×0.1=0.314×104tan45o
I=55×0.1×0.314×104tan45o8×4π×107×25
I=0.14 A

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