A battery is connected between two points A and B on the circumference of a uniform conducting r...

A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius \(r\) and resistance \(\mathrm{R}\). One of the \(\operatorname{arcs} \mathrm{AB}\) 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