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A small coil is introduced between the poles of an electromagnet so that its axis coincides with the magnetic field direction. The number of turns is \( n \) and the cross sectional area of the coil is \( A \). When the coil turns through \( 180^{\circ} \) about its diameter, the charge flowing through the coil is \( Q \). The total resistance of the circuit is \( R \). What is the magnitude of the magnetic induction?
(A) \( \frac{Q R}{n A} \)
(B) \( \frac{Q n}{2 R A} \)
(C) \( \frac{2 Q R}{n A} \)
(D) \( \frac{Q R}{2 n A} \)
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