A magnetic field of 2 10⁻² ~T acts at right angles to a coil of area 100 ~cm ^2 with 50 turns. The average e.m.f. induced in the coil is 0.1 V , when it is removed from the field in time t . The value of ' t ' is (in second)

Step-by-step solution

Using Lenz law, Induced e.m.f. is given by, e=-N d d t Change in magnetic flux = d dt = dB dt A From (i), aligned e & =-N d B d t A e & =- N (B₂-B₁ ) A t aligned array ll & t= -(50) (0-2 10⁻² ) (100 10⁻⁴ ) 0^ 0.1 & t=0.1 ~s array