Question

Consider a circular loop of radius R on the $xy$-plane carrying a steady current anticlockwise. The magnetic field at the center of the loop is given by

• A. $\frac{\mu_0}{2R} I \hat{x}$
• B. $\frac{\mu_0}{2R} I \hat{y}$
• C. $\frac{\mu_0}{2R} I \hat{z}$
• D. $\frac{\mu_0}{R} I \hat{x}$
• E. $\frac{\mu_0}{R} I \hat{y}$

Hint:

For circular loops, the field at the center is always perpendicular to the plane of the loop. Anticlockwise current in the $xy$-plane results in a field along $+\hat{z}$, while clockwise results in $-\hat{z}$.

Answer 1

The Correct Option is C