A stationary 10-turn square coil of 1 metre side is situated with its lower left corner coincident with the origin and with sides x1, y1 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
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,