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A coil consists of 200 turns of wire hav...

A coil consists of `200` turns of wire having a total reistance of `2.0Omega`. Each turn is a square of side `18cm,` and a uniform magnetic field directed perpendicular to the plane of the coil is turned on. If the field changes linearly from `0` to `0.5t` in `0.80s`, what is the magnitude of induced emf and current in the coil while the field is changing?

Text Solution

Verified by Experts

From the Faraday's law,
Induced emf `|e|=(N/_\phi)/(/_\t)=(NS)=(/_\B)/(/_\t)`
`=((200)(18xx10^-2)^2(0.5-0))/0.8`
`=4.05V`
Induced current `i=(|e|)/R=4.05/2~~2.0A`
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