Question

Direction of current in the loop at $t=\frac{\pi }{3\omega }$ :

• A. clockwise
• B. cannot be determined
• C. no current will flow at that time
• D. anticlockwise

Answer 1

Answer: (D)

$B=B_{o}sin\left(wt\right)$
$\frac{dB}{dt}=B_{o}wcos\left(wt\right)$
at $t=\frac{\pi }{3\omega }$
$\frac{dB}{dt}=B_{o}w/2$
The magnetic field is increasing.
According to Lenz's law, the current is induced to resist the change in magnetic field.
Hence According to right hand law current is in anticlockwise direction.