A closed loop of cross-sectional area `10^(-2) m^(2)` which has inductance `L = 10 mH` and negligible resistance is placed in time- varying magnetic field. Figure shows the variation of `B` with time for the interval `4 s`. The field is perpendicular to the plane of the loop (given at `t = 0`, `B = 0`, `I = 0)`. The value of the maximum current induced in the loop is

Explanation

Induced emf `(e) = L(d i)/(d t)`
`rArr A((dB)/(dt)) = L(d i)/(dt) rArr d i = (A)/(L)((dB)/(dt)) xx dt`
`underset(0)overset(l)intdi = underset(0)overset(B)int((A)/(L))dB , I = (A)/(L)B` , `rArr I_("max") = (A)/(L)B_("mix")`
`= (10^(2))/(10 xx 10^(-3))xx0.1` , `= 0.1A = 100 mA`