A certain amount of current when flowing in a properly set tangent galvanometer, produces a deflecti

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5.Magnetism and Matter

hard

A certain amount of current when flowing in a properly set tangent galvanometer, produces a deflection of $ 45°.$ If the current be reduced by a factor of $\sqrt 3 $, the deflection would

Decrease by $30°$

Decrease by $15°$

Increase by $15°$

Increase by $30°$

Solution

(b)In tangent galvanometer, $I \propto \tan \theta $
$\therefore \;\frac{{{I_1}}}{{{I_2}}} = \frac{{\tan {\theta _1}}}{{\tan {\theta _2}}} \Rightarrow \frac{{{I_1}}}{{{I_1}/\sqrt 3 }} = \frac{{\tan {{45}^0}}}{{\tan {\theta _2}}}$
$ \Rightarrow \sqrt 3 \tan {\theta _2} = 1 \Rightarrow \tan {\theta _2} = \frac{1}{{\sqrt 3 }} \Rightarrow {\theta _2} = {30^o}$
So deflection will decrease by $45^o- 30^o = 15^o.$

Standard 12

Physics

Tangent galvanometer is used to measure

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medium

The magnetic needle of a tangent galvanometer is deflected at an angle $30^o$ due to a magnet. The horizontal component of the earth's magnetic field is $0.34 \times 10^{-4}\, T$ which is along the plane of the coil. The magnetic field due to magnet is

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medium

A certain amount of current when flowing in a properly set tangent galvanometer, produces a deflection of $ 45°.$ If the current be reduced by a factor of $\sqrt 3 $, the deflection would

Solution

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