A circular coil of radius `10cm` and `25` turns is rotated about its vertical diameter with an angular speed of `40rads^(-1)`, in a uniform horizontal magnetic field of magnitude `5xx10^(-2)T`. Calculate the maximum emf induced in the coil. Also find the maximum current in the coil if the resistance of the coil is `15Omega`.

Explanation

Given , r=10 cm=0.1 m
N=25, `omega=40 rads^(-1), B=5xx10^(-2)T`
`R=1.5 Omega`, e=? , I=?
we know that `e_(max)=BANomega, A=pir^3`
`=5xx10^(-2) xx3.14xx(0.1)^2 xx25xx40`
`=15.7xx10^(-2) xx10^(-2) xx10^3`
`e_(max)` = 1.57 volt and `e_(rms)`=1.11 volt
Hence maximum current induced = `I_(max)=e_(max) /R`
i.e. `I_(max)=1.57/15`=0.105 A and `I_(rms)` =0.0742 A