A coil having an area of 2 m 2 is placed in a magnetic field which changes from 1 Wb / m 2 to 4 Wb / m 2 in 2 s. The emf induced in the coil will be

Question

A coil having an area of 2 m 2 is placed in a magnetic field which changes from 1 Wb / m 2 to 4 Wb / m 2 in 2 s. The emf induced in the coil will be (A) 4 V (B) 3 V (C) 2 V (D) 1 V

Tardigrade Admin · Accepted Answer

Induced emf e=n A (d B/d t) A= area of coil =2m2 and n = 1 e=(1 × 2 ×(4-1)/2)=3 V

Q. A coil having an area of $2 m^{2}$ is placed in a magnetic field which changes from $1 Wb / m^{2}$ to $4 Wb / m^{2}$ in $2 s$ . The emf induced in the coil will be

4 V

3 V

2 V

1 V

Induced emf $e = n A \frac{d B}{d t}$
$A =$ area of coil $= 2 m^{2}$
and $n = 1$
$e = \frac{1 \times 2 \times ( 4 - 1 )}{2} = 3 V$

Q. A coil having an area of 2m2 is placed in a magnetic field which changes from 1Wb/m2 to 4Wb/m2 in 2s. The emf induced in the coil will be

4 V

3 V

2 V

1 V

Induced emf e=nAdtdB​ A= area of coil =2m2 and n=1 e=21×2×(4−1)​=3V

Q. A coil having an area of $2 m^{2}$ is placed in a magnetic field which changes from $1 Wb / m^{2}$ to $4 Wb / m^{2}$ in $2 s$ . The emf induced in the coil will be

Induced emf $e = n A \frac{d B}{d t}$
$A =$ area of coil $= 2 m^{2}$
and $n = 1$
$e = \frac{1 \times 2 \times ( 4 - 1 )}{2} = 3 V$