# Solved Problems-6

Problem-6
A stationary 10-turn square coil of 1 metre side is situated with its lower left corner coincident with the origin and with sides x1y1 along x-axis and y-axis. The field  is normal to the plane of the coil and has its amplitude given by

Determine the rms value of the emf induced in the coil if  varies harmonically at a frequency of 1 kHz.

Square loop in a time-varying magnetic field

Solution
Since  varies harmonically, it can be written as,

Also,

Here, only the transformer emf is induced given as,

Hence, the peak value of the induced emf is,

The rms value of the induced emf is,