A rectangular coil of 100 turns and size 0.1 ~m 0.05 ~m is placed perpendicular to a magnetic field of 0.1 ~T . If the field drops to 0.05 ~T in 0.05 ~s , the magnitude of the e.m.f. iniduced in the coil is

Step-by-step solution

Given, n=100 turns, A=0.1 0.05 ~m ² , B₁=0.1 ~T , B₂=0.05 ~T , d t=0.05 ~s We know that, e= | -d d t |= d d t (n B A )= n A d B d t Here, =0^ aligned & e= n A d B d t = 100 0.1 0.05 (0.1-0.05) 0.05 & e=0.5 ~V aligned