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
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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