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= `100xx10^(-4)T=10^(-2)T`
Now, `epsilon=epsilon_(0) sin omegat=NBA omega sin omegat`
`=800 xx 10^(-2) xx 50 xx 10^(-4) xx 2pi xx 10sin(20pi t)`
or `epsilon-2.5 sin(2pi t)` volt