1.

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 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 [IIT 1995]

A.            Proportional to \[2\,(180{}^\circ -\theta )\]
B.            Inversely proportional to r
C.            Zero, only if \[\theta =180{}^\circ \]
D.            Zero for all values of \[\theta \]
Answer» E.


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