A rectangular coil 0.20 m × 0.10 m, of 100 turns, rotates in a magnetic field of 3 × 10-3 T with a frequency of 20 Hz, about an axis normal to the magnetic field. What is the maximum value of induced emf?

Question

A rectangular coil 0.20 m × 0.10 m, of 100 turns, rotates in a magnetic field of 3 × 10-3 T with a frequency of 20 Hz, about an axis normal to the magnetic field. What is the maximum value of induced emf? (A) 0.12 π V (B) 0.18 π V (C) 0.24 π V (D) 0.30 π V

Tardigrade Admin · Accepted Answer

ε=B A N ω sin ω t ε max =B A N ω=B A N(2 π v) =(3 × 10-3 T ) ⋅(0.2 m × 0.1 m )(100)(2 π × 20 Hz ) =0.24 π V

Q. A rectangular coil $0.20 m \times 0.10 m$ , of $100$ turns, rotates in a magnetic field of $3 \times 1 0^{- 3} T$ with a frequency of $20 Hz$ , about an axis normal to the magnetic field. What is the maximum value of induced emf?

$0.12 πV$

$0.18 πV$

$0.24 πV$

$0.30 πV$

$ε = B A N ω sin ω t$
$ε_{m a x} = B A N ω = B A N (2 π v)$
$= (3 \times 1 0^{- 3} T) \cdot (0.2 m \times 0.1 m) (100) (2 π \times 20 Hz)$
$= 0.24 πV$

Q. A rectangular coil 0.20m×0.10m, of 100 turns, rotates in a magnetic field of 3×10−3T with a frequency of 20Hz, about an axis normal to the magnetic field. What is the maximum value of induced emf?

0.12πV

0.18πV

0.24πV

0.30πV