Question

A semi-circular current carrying wire having radius R is placed in x-y plane with its centre at origin O. There is a position dependent non-uniform magnetic field $B=\frac{B_{0}x}{2R}\hat{k}$ (here, $B_0$ is positive constant) existing in the region. The force due to magnetic field acting on the semi-circular wire will be along

• A. Negative x-axis
• B. Positive x-axis
• C. Negative y-axis
• D. Positive y-axis

Answer 1

The correct option is A

Negative x-axis

The direction of forces on the two elements taken symmetrical on two sides of the y-axis are shown. Clearly, the net force will be on negative x-axis.