Question

Two small identical circular loops, marked (1) and (2), carrying equal currents, are placed with the geometrical axes perpendicular to each other as shown in the figure. Find the magnitude and direction of the net magnetic field produced at the point O.

Answer 1

Magnetic field due to coil 1 at point O

Magnetic field due top coil 2 at point O

As R<< x

where A = πR² is area of loop.

where A = πR² is area of loop.

∴ \(\overrightarrow{B}\) is directed at an angle \(\frac{\pi}{4}\) with the direction of magnetic field \(\overrightarrow{B_1}.\)