Question 108: Electromagnetic Induction

Question

At time t = 0 magnetic field of 1000 Gauss is
passing perpendicularly through the area
defined by the closed loop shown in the figure.
If the magnetic field reduces linearly to
500 Gauss, in the next 5s, then induced EMF
in the loop is :

Accepted Answer

Area of loop = ( 16 ÃÂ 4 Ã¢ÂÂ 2 ÃÂ Area of triangle) cm
2
= $$\left( {64 - 2 	imes {1 \over 2} 	imes 2 	imes 4} ight)$$ cm
2
= 56 ÃÂ 10
Ã¢ÂÂ4
m
2
Using faraday law
Induced EMF
|$$\varepsilon $$|$$ =  |- A{{dB} \over {dt}}$$|
= 56 ÃÂ 10
Ã¢ÂÂ4
$$ 	imes $$ $${{\left( {1000 - 500} ight)} \over 5} 	imes {10^{ - 4}}$$
= 56 ÃÂ 10
Ã¢ÂÂ6
V = 56 $$\mu $$V

Answer

48 μV

Answer

28 μV

Answer

56 μV

Answer

36 μV

Electromagnetic Induction

At time t = 0 magnetic field of 1000 Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure. If the magnetic field reduces linearly to 500 Gauss, in the next 5s, then induced EMF in the loop is :

Choose the correct answer: