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A uniform but time varying magnetic fiel...

A uniform but time varying magnetic field `B=C-Kt`, where K and C are positive constants and t is time ( in second ) , is applied perpendicular to the plane of a circular loop of radius `'a'` and resistance R. Find the total charge ( in coulomb) that will pass through any point of loop by the time B becomes zero.
[ Given `a=2m,R=pi Omega,C=2T]`

Text Solution

Verified by Experts

The correct Answer is:
`C pia^(2)//R`
`e=(dB)/(dt)=d/(dt)B.A.=pia^(2).K`
`I=(pia^(2)K)/R and Deltaq=intIdt`
`Deltaq=(pia^(2)K)/Rint_(0)^(C//K)dt=(pia^(2)k)/RxxC/K=(pia^(2)C)/R`
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