ElectroMagnetic InductionHard

Question

A uniform but time varying magnetic field B = C − Kt , where K & C are positive constants and t is time, is applied perpendicular to the plane of a circular loop of radius ′a′ and resistance R. The total charge that will pass through any point of the loop by the time B becomes zero is :    

Options

A.C π a2/R K    
B.K π a2/R
C.C π a2/R
D.none of these

Solution

B = C − KT   ;   At  t = 0  B = C   
∴  initial flux = Cπa2 ,    final flux = 0
total charge flown = =

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