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 \( \operatorname{arcs} A B \) of the
P ring subtends an angle \( \theta \) at the centre. The value of

W the magnetic induction at the centre due to the current in the ring is
(1) Proportional to \( 2\left(180^{\circ}-\theta\right) \)
(2) Inversely proportional to \( r \)
(3) Zero, only if \( \theta=180^{\circ} \)
(4) Zero for all values of \( \theta \)
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