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 θ at the center. The value of the magnetic induction at the center due to the current in the ring is
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Directions of currents in two parts are different, so directions of magnetic fields due to these currents are different. Also applying Ohm's law across AB
Also applying Ohm's law across 
Hence, two field are equal but of opposite direction. So, resultant magnetic induction at the center is zero and is independent of 
.
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