A circular loop of radius `1m` is placed in a varying magnetic field given as `B=6t` Tesla, where `t` is time in sec.
(a)Find the `emf` induced in the coil if the plane of the coil is perpendicular to the magnetic field.
(b) Find the electric field in the tangential directin, induced due to the changing magnetic field.
(c)Find the current in the loop if its resistance is `1Omega//m`.

Answer

A, B, C

Explanation

(a)`epsilon=A(dB)/(dt)=pi(1)^(2) 6=6pi V`
(b)`Exx2pir=A(dB)/(dt)=6pi`
`E=3/r=3/1=3` volt/meter.
(c)Find the current in the loop if its resistance is `1Omega//m`
`i=epsilon/R=(6pi)/(1xx2pir)=3/r=3/1=3 amp.`