Question

The wire shown below carries a current of 2 A. The curved segment is a quadrant of radius 10 cm while the straight segments are along radii. Find the magnitude and direction of the magnetic induction at the centre O of the quadrant by the entire wire.

Answer 1

Data : I = 2 A, 

R = 10 cm = 10^-1 m 

The point O lies along the straight segments AB and CD. Hence, the magnetic induction \(\vec B\) produced by each of them is zero.

Since θ = 90°, the magnitude of the magnetic induction due to the current in quadrant BC is \(\cfrac14\)th of that produced at the centre of a loop.

\(\vec B\) at O is directed into the plane of the figure