Question

If a circular loop of wire of radius 19.7 cm is located in a region where the spatially uniform magnetic field perpendicular to the plane of the loop is changing at a rate of +2.0 ✕ 10−3 T/s, find the value of the induced EMF in this loop due to this changing magnetic field.

Answer 1

Answer:

Magnitude of induced emf will be $2.437\times 10^{-3}volt$

Explanation:

We have given radius of the circular loop r = 19.7 cm = 0.197 m

So area of the circular loop $A=\pi r^2=3.14\times 0.197^2=0.1218m^2$

It is given that magnetic field is changing as $2\times 10^{-3}T/sec$

Emf induced in the circular loop is equal to $e=\frac{-d\Phi }{dt}=-A\frac{dB}{dt}$

So emf induced will be equal to $e=\frac{-d\Phi }{dt}=-0.1218\times2\times 10^{-3}=2.437\times 10^{-3}volt$

So magnitude of induced emf will be $2.437\times 10^{-3}volt$