A circuit area 0.01 ~m ^2 is kept inside a magnetic field which is normal to its plane. The magnetic field changes from 2 T to 1 T in 1 ms . If the resistance of the circuit is 2 . The amount of heat evolved is

Step-by-step solution

Induced emf produced in coil e= -d d t = -d d t (B A) |e|=A d B d t =0.01 1 1 10⁻³ |e|=10 ~V Current produced in coil, i= |e| R = 10 2 =5 ~A Heat evolved- aligned i^2 R t & =(5)^2 (2) 1 10⁻³ & =0.05 ~J aligned