A rectangular loop of length 2.5 ~m and width 2 ~m is placed at 6… - Vidyadip

MCQ

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

A
$-2 \mathrm{~V}$
B
$+2 \mathrm{~V}$
✓
$+1\mathrm{ V}$
D
$-1 \mathrm{~V}$

✓

Answer

Correct option: C.

$+1\mathrm{ V}$

c
$ \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 \mathrm{~V}$

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