A battery is connected between two points \( A \) and \( B \) the c...

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A battery is connected between two points \( A \) and \( B \) the circumference of a uniform conducting ring of radius \( r \) and resistance \( R \). One of the arcs \( A B \) of the ring subtends an angle \( \theta \) at the centre. The value of the magnetic induction at the centre due to the current in the ring is:
(A) zero, only if \( \theta=180^{\circ} \)
(B) zero for all values of \( \theta \)
(C) proportional to \( 2\left(180^{\circ}-\theta\right) \)
(D) inversely proportional to \( r \)
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