Question

A circular loop of radius 1m is placed varying magnetic field given as b=6t tesla.Find emf induced in the coil

Answer 1

radius is equal to 1m and change in magnet Flux is 6t , induced emf = change in magnetic Flux × area / time so the answer is
1 × 6 / 1s= 6 Tm/s

Answer 2

Answer:

$E=18.84\ V$

Explanation:

It is given that,

Radius of the circular loop, r = 1 m

Magnetic field as a function of time t is given by, B = 6t

We need to find the induced EMF in the coil. The induced EMF is given by :

$E=\dfrac{d}{dt}(B.A)$

$E=\pi r^2\dfrac{d}{dt}(Bt)$

$E=\pi 1^2\dfrac{d}{dt}(Bt)$

$E=18.84\ V$

So, the induced emf in the coil is 18.84 volts. Hence, this is the required solution.