Question

a coil having 500 square loops each of side 10cms is placed normal to a magnetic field which increase at a rate of 1 T/s.the induced emf in volt is
A)0.1
B)0.5
C)1
D)5
answer it with explanation plzzzzz......

Answer 1

$emf =-N \frac{d\phi}{dt}\\\\N=500\\\\Flux\ thru\ l oop=\ \phi= (B t + c)*Area=(Bt+c)*0.1*0.1m^2\\.\ \ \ \ B = magnetic\ field\ strength,\ t=time, c=constant\\\frac{d\phi}{ct}=B*Area=1*0.01\ Tm^2 /sec\\\\Emf=500*0.01=5Volts$

Induced emf is in the opposite direction of Change in the magnetic field.