$\begin {array} {1 1} (a)\;Proportional\: to (180^{\circ}- \theta) & \quad (b)\;Inversely\: proportional\: to\: r \\ (c)\;Zero\: only\: if\: \theta = 180^{\circ} & \quad (d)\;Zero\: for \: all\: values\: of\: \theta \end {array}$

Field at the centre due to the two parts is in the opposite direction and is proportional

to current in each arcs and to the angle subtended at the centre

Current is inversely proportional to resistance => it is inversely proportional to length (angle)

$ \therefore $ Current times the angle is constant

Ans : (d)

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