A 50 turns circular coil has a radius of 3 cm, it is kept in a magnetic field acting normal to the area of the coil. The magnetic field B increased from 0.10 to 0.35 tesla in 2 ms. The average induced emf in the coil is:

Question

A 50 turns circular coil has a radius of 3 cm, it is kept in a magnetic field acting normal to the area of the coil. The magnetic field B increased from 0.10 to 0.35 tesla in 2 ms. The average induced emf in the coil is: (A) 1.77 volts (B) 17.7 volts (C) 177 volts (D) 0.177 volts

Tardigrade Admin · Accepted Answer

e =- N (( B 2- B 1)/Δ t ) A cos θ =(-50(0.35-0.10) × π(3 × 10-2)2 × cos 00/2 × 10-3)=17.7 volt

Q. A 50 turns circular coil has a radius of $3 c m$ , it is kept in a magnetic field acting normal to the area of the coil. The magnetic field B increased from 0.10 to 0.35 tesla in $2 m s$ . The average induced emf in the coil is:

$1.77$ volts

$17.7$ volts

$177$ volts

$0.177$ volts

$e = - N \frac{( B _{2} - B _{1} )}{Δ t} A cos θ$
$= \frac{- 50 ( 0.35 - 0.10 ) \times π ( 3 \times 1 0 ^{- 2} ) ^{2} \times c o s 0 ^{0}}{2 \times 1 0 ^{- 3}} = 17.7$ volt

Q. A 50 turns circular coil has a radius of 3cm, it is kept in a magnetic field acting normal to the area of the coil. The magnetic field B increased from 0.10 to 0.35 tesla in 2ms. The average induced emf in the coil is:

1.77 volts

17.7 volts

177 volts

0.177 volts