There exists a long conductor along z-axis carrying a current of `I_(0)` along positive z-direction. A loop having total resistance R is placed symmetrical about x- and y-axes in xy plane as shown in figure. potential difference `v_(BA)=V` is applied. Radii of arcs are ‘a’ and ‘b’, respectively, as shown in the figure. The magnitude of force experienced by the arc MN is :

Options

A. zero
B. `(mu_(0)VI_(0))/(pi Rb)`
C. `(mu_(0)VI_(0))/(2 pi Rb)`
D. None of these

Answer

A

Explanation

Magnetic field produced by the conductor along z-axis will be parallel to MN. Hence, force on MN is zero.