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  4. A TG has 500 turns , each of radius 2π cm . If BH = 3.6 × 10-5 Wb/m2 , The deflection due to 7.2 mA current is .

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Q. A TG has 500 turns , each of radius $2\pi cm$ . If $B_H = 3.6 \times 10^{-5}\,Wb/m^2$ , The deflection due to 7.2 mA current is .

Moving Charges and Magnetism

Solution:

for tangent galvanometer
$B_{H} \tan \theta=\frac{n \mu_{0} i}{2 r} $
$3.6 \times 10^{-5} \times \tan \theta=\frac{500 \times 4 \pi \times 10^{-7} \times 7.2 \times 10^{-3}}{2 \times 2 \pi \times 10^{-2}}$
$\tan \theta=1 $
$\theta=45^{0}$