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

Explanation

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