A circular coil of radius \( 20 \mathrm{~cm} \) and 20 turns of wir...

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A circular coil of radius \( 20 \mathrm{~cm} \) and 20 turns of wire is mounted vertically with its plane in magnetic meridian. A small magnetic needle (free to rotate about vertical axis) is placed at the center of the coil. It is deflected through \( 45^{\circ} \) when a current is passed through the coil and in equilibrium (Horizontal component of earth's field is \( 0.34 \times 10^{-4} \mathrm{~T} \) ). The current in coil is:
(A) \( \frac{17}{10 \pi} \mathrm{A} \)
(B) \( 6 \mathrm{~A} \)
(C) \( 6 \times 10^{-3} \mathrm{~A} \)
(D) \( \frac{3}{50} \mathrm{~A} \)
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