Question

Two circular loop soft wires, each containing single turn, have the same radius of 4.0 cm common center. The lane of loops are perpendicular. Each carries a current of 1.7A. what is the magnitude of the net magnetic field of the common center?

A - 3.8 x 10^-5 T

B- 8.2 x 10^-8 T

C- 5.0 x 10^2 T

D- 4.0 x 10^-4 T

Answer #1

*We have,
Radius of both loop
Current in both loop
Permeability of space
*

*The magnetic field
due to one loop at point on radius is given as:*

*Since the planes of both loop are perpendicular to each
other, using the Pythagorean theorem, the magnitude of net magnetic
field
is given as:*

*Therefore, the magnetic field at the common center is
, thus option A is correct.*

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