Electromagnetic Induction Question 1

Question 1 - 24 January - Shift 1

A conducting loop of radius $\frac{10}{\sqrt{\pi}} cm$ is placed perpendicular to a uniform magnetic field of $0.5 T$. The magnetic field is decreased to zero in $0.5 s$ at a steady rate. The induced emf in the circular loop at 0.25 s is:

(1) $emf=1 mV$

(2) $emf=10 mV$

(3) $emf=100 mV$

(4) $emf=5 mV$

Show Answer

Answer: (2)

Solution:

Formula: Faraday’s Laws Of Electromagnetic Induction

$EMF=\frac{d \phi}{dt}=\frac{BA-0}{t}$

$A=\pi r^{2}=\pi(\frac{0.1^{2}}{\pi})=0.01$

$B=0.5$

$EMF=\frac{(0.5)(0.01)}{0.5}=0.01 V=10 mV$