question_answer

A conducting loop is being pulled with speed \[v\] from region I of magnetic field to region II. If resistance of the loop is \[R\], current induced in the loop at the instant shown is

A) \[\frac{{{B}_{0}}\ell v}{R},\]Clockwise

B) \[\frac{{{B}_{0}}\ell v}{R},\]anticlockwise

C) \[\frac{3{{B}_{0}}\ell v}{R},\]clockwise

D) \[\frac{3{{B}_{0}}\ell v}{R},\]anticlockwise

Correct Answer: C

Solution :

\[e={{e}_{1}}+{{e}_{2}}\]

\[={{B}_{0}}v\ell +2{{B}_{0}}v\ell \]

\[=3{{B}_{0}}v\ell \]

\[\therefore \] \[i=\frac{e}{R}=\frac{3{{B}_{0}}v\ell }{R}\]