A battery is connected between two points \( A \) and \( B \) on the circumference of a uniform ...

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A battery is connected between two points \( A \) and \( B \) on 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) proportional to \( 2\left(180^{\circ}-\theta\right) \)
(b) inversely proportional to \( r \)
(c) zero, only if \( \theta=180^{\circ} \)
(d) zero for all values of \( \theta \)
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