A square loop of side 20 cm and resistance 0.30 `Omega` is placed in a magnetic field of 0.4 T. The magnetic field is at an angle of `45^(@)` to the plane of loop. If the magnetic field is reduced to zero in 0.5 s, then find the induced emf and induced current in the loop in this time interval.

Explanation

`phi_(1)=B_(1)A cos45^(@)`
`=0.4 xx 400 xx 10^(-4) xx (1)/(sqrt2)`
`=1.13 xx 10^(-2) Wb`
`phi_(2)=0`
`e=(|phi_(2)-phi_(1)|)/(dt)=(|0-1.13 xx 10^(-2)|)/(0.5)`
`=2.26 xx 10^(-2) V`
`I=(e)/(R)=(2.26 xx 10^(-2))/(0.30)`
`=7.5 xx 10^(-2) A`