A circular loop of radius 2cm, is placed in a time varing magnetic field with rate of 2T/sec. Then induced
electric field in this loop will be ?
Answers
Answer:1.592T
Explanation:
Using the symmetry of this particular shape, the integral of the electric field will simplify itself into the electric field multiplied by the circle circumference . As we woould know the induced emf, it will be connected by these two expressions of Faraday’s law to find induced field
The induced electric field of the very coil will be constant in magnitude over the entire cylindrical surface much similar to how Ampere’s law. Since vector E is tangent to the coil,
We will solve the integration as depicted in the diagram.
After solving we will get E=€/2πr
As E is given as a time changing field at the rate of 2T we will consider E(2T)
And radius as given as 2cms or 0.02m.
Therefore E will be T/0.02*π =
T /0.628=1.592T
Explanation:
from Faraday law of emf e= - d(magnetic flux)/dt
