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Solved Problems-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 Description: 19160.png is normal to the plane of the coil and has its amplitude given by
Description: 44892.png
Determine the rms value of the emf induced in the coil if Description: 17961.png varies harmonically at a frequency of 1 kHz.

Square loop in a time-varying magnetic field
Since Description: 17616.png varies harmonically, it can be written as, Description: 18145.png
Also, Description: 20377.png 
Description: 44977.png
Here, only the transformer emf is induced given as,
Description: 27202.png
Hence, the peak value of the induced emf is,
Description: 27211.png
Description: 20097.png
The rms value of the induced emf is,
Description: 19050.png

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