First slide

Magnetic flux and induced emf

Question

A conducting wire frame is placed in a magnetic field which is directed into the plane of the paper (figure). The magnetic field is increasing at a constant rate. The directions of induced currents in wires AB and CD are

Easy

A

B to A and D to C
B

A to B and C to D
C

A to B and D to C
D

B to A and C to D

Solution

Magnetic field in $\otimes$ direction is increasing. Therefore, induced current will produce magnetic field in $⊙$ direction. Thus, current in both the loops should be anticlockwise. But as the area of the loop on the right side is more, induced emf in this side will be more compared to the left side loop. Therefore, net current in the complete direction is as shown below:

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