Manipal MET2019PhysicsElectromagnetic Induction
A physicist works in a laboratory where the magnetic field is 2 T . She wears a necklace enclosing area 0.01 ~m ^2 in such a way that the plane of the necklace is normal to the field and is having a resistance, R=0.01 . Because of power failure, the field decays to 1 T in time 10⁻³ ~s . Then what is the total heat produced in her necklace?
Options
- A10 J
- B20 J
- C30 J
- D40 J
Correct answer
A. 10 J
Step-by-step solution
Induced emf aligned E & =- t =-A B t & =-0.01 1-2 10⁻³ = 0.01 10⁻³ & =10 ~V aligned Heat produced, H= E^2 R t aligned & = (10)^2 0.01 10⁻³ & = 100 10⁻³ 0.01 & =10 ~J aligned