contestada

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.

Respuesta :

Answer:

Magnitude of induced emf will be [tex]2.437\times 10^{-3}volt[/tex]

Explanation:

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

So area of the circular loop [tex]A=\pi r^2=3.14\times 0.197^2=0.1218m^2[/tex]

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

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

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

So magnitude of induced emf will be [tex]2.437\times 10^{-3}volt[/tex]