A coil of 800 turns and `50 cm^(2)` area makes 10 rps about an axis in its own plane in a magnetic field of 100 gauss perpendicular to this axis. What is the instantaneous induced emf in the coil?

Explanation

`A= 50cm^(2) = 50 xx 10^(-4) m^(2)`
n= 10 rps, N= 800
B= 100 gauss `= 100 xx 10^(-4) T= 10^(-2)T`
Now, `E= E_(0 ) sin omega t= NBA omega sin omega t`
`=800 xx 10^(-2) xx 50 xx 10^(-4) xx 2pi xx 10sin (20 pi t)`
or `E= 2.5 sin (20 pi t)` volt