NEET2022PhysicsElectromagnetic InductionActual
The magnetic flux linked to a circular coil of radius R is: =2 t^3+4 t^2+2 t+5 ~Wb The magnitude of induced emf in the coil at t=5 ~s is:
Options
- A108 ~V
- B197 ~V
- C150 ~V
- D192 ~V
Correct answer
D. 192 ~V
Step-by-step solution
Given: =2 t^3+4 t^2+2 t+5, & t=5 ~s By Faraday's law of EMI, we have, emf =- d d t (where, the symbols have their usual meanings) aligned e= | d d t | & = | d d t (2 t^3+4 t^2+2 t+5 ) | & =6 t^2+8 t+2 aligned aligned ext At t & =5 s e & =6(5)^2+8(5)+2 & =192 ~V aligned