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The given loop is kept in a uniform magn...

The given loop is kept in a uniform magnetic field perpendicular to the plane of the loop. The field changes from 1000 Gauss to 500 Gauss in 5 seconds. The average induced emf in the loop is

A

`28muV`

B

`30muV`

C

`48 muV`

D

`56 muV`

Text Solution

Verified by Experts

The correct Answer is:
D

Area of loop `A=(16xx4-4xx2)`
=64-8
`=56 "cm"^2`
`=56xx10^(-4) m^2`
`dB=(500-1000)xx10^(-4)` T
`=-500xx10^(-4)` T
`therefore` Induced emf `epsilon=(AdB)/(dt)`
`=(56xx10^(-4)xx(-500xx10^(-4)))/5`
`=56xx10^(-6)` V
`=56 muV`
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