NEET2022PhysicsElectromagnetic InductionActual
A big circular coil of 1000 turns and average radius 10   m is rotating about its horizontal diameter at 2   rad   s - 1 . If the vertical component of earth's magnetic field at that place is 2 × 10 - 5   T and electrical resistance of the coil is 12 . 56   Ω , then the maximum induced current in the coil will be:
Options
- A1 . 5   A
- B1   A
- C2   A
- D0 . 25   A
Correct answer
B. 1   A
Step-by-step solution
The magnetic flux is given by, ϕ = B A cos ω t . Therefore, induced EMF, ε = - d ϕ d t = - B A ω sin ω t For maximum current sin ω t = 1 ⇒ i m a x = B A ω R = B N π r 2 ω R = 2 × 10 - 5 × 1000 × 3 . 14 × 100 × 2 12 . 56 = 1   A