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  • A tangent galvanometer has a coil of 25 turns and radius of 15 cm. The horizontal component of earth's magnetic field is 3 * 10-5 T. The cu

A tangent galvanometer has a coil of 25 turns and radius of 15 cm. The horizontal component of earth's magnetic field is 3 x 10-5 T.  The current required to produce a deflection of 45o in it is:

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\begin{aligned} &\text {In a tangent galvanometer, }\\ & \ \ \ \ \mathrm{i}=\frac{2 \mathrm{rB}_{\mathrm{H}}}{\mu_{0} \mathrm{N}} \tan \theta\\ &\therefore \mathrm{i}=\frac{2 \times 15 \times 10^{-2} \times 3 \times 10^{-5}}{4 \pi \times 10^{-7} \times 25} \times \tan 45^{\circ}\\ & \ \ \ \ \ =0.29 \mathrm{A} \end{aligned}

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