Electromagnetic Induction Question 3

Question 3 - 2024 (27 Jan Shift 1)

A rectangular loop of length $2.5 m$ and width $2 m$ is placed at $60^{\circ}$ to a magnetic field of $4 T$. The loop is removed from the field in $10 sec$. The average emf induced in the loop during this time is

(1) $-2 V$

(2) $+2 V$

(3) $+1 V$

(4) $-1 V$

Show Answer

Answer: (3)

Solution:

$$ \begin{aligned} & \text { Average emf }=\frac{\text { Change in flux }}{\text { Time }}=-\frac{\Delta \phi}{\Delta t} \\ & =-\frac{0-\left(4 \times(2.5 \times 2) \cos 60^{\circ}\right)}{10} \\ & =+1 V \end{aligned} $$