The coil of area 0.1 m 2 has 500 turns. After placing the coil in a magnetic field of strength 4 × 10-4 Wb / m 2, if it is rotated through 90° in 0.1 s, the average emf induced in the coil is

Question

The coil of area 0.1 m 2 has 500 turns. After placing the coil in a magnetic field of strength 4 × 10-4 Wb / m 2, if it is rotated through 90° in 0.1 s, the average emf induced in the coil is (A) 0.012 V (B) 0.05 V (C) 0.1 V (D) 0.2 V

Tardigrade Admin · Accepted Answer

e=(-N B A( cos θ2- cos θ1)/Δ t) =-(500 × 4 × 10-4 × 0.1( cos 90°- cos 0°)/0.1) =0.2 V

Q. The coil of area $0.1 m^{2}$ has $500$ turns. After placing the coil in a magnetic field of strength $4 \times 1 0^{- 4} Wb / m^{2}$ , if it is rotated through $9 0^{\circ}$ in $0.1 s$ , the average emf induced in the coil is

0.012 V

0.05 V

0.1 V

0.2 V

$e = \frac{- NB A ( c o s θ _{2} - c o s θ _{1} )}{Δ t}$
$= - \frac{500 \times 4 \times 1 0 ^{- 4} \times 0.1 ( c o s 9 0 ^{\circ} - c o s 0 ^{\circ} )}{0.1}$
$= 0.2 V$

Q. The coil of area 0.1m2 has 500 turns. After placing the coil in a magnetic field of strength 4×10−4Wb/m2, if it is rotated through 90∘ in 0.1s, the average emf induced in the coil is