The self-inductance of a coil is 2 Henry. If the current in the coil changes from 5 Amperes to 2 Amperes in 0.1 seconds, what is the induced electromotive force?

A. 60 V — The induced electromotive force in an inductor is given by the formula epsilon equals L times the magnitude of the rate of change of current. The change in current is 3 Amperes, so the EMF is 2 times 3 divided by 0.1, which equals 60 Volts.

JEE Main · PhysicsEasy

$The self-inductance of a coil is L = 2 H . If the current in the coil changes from I_{1} = 5 A to I_{2} = 2 A in Δ t = 0.1 s, what is the magnitude of the induced electromotive force ε ?$

A. $60 V$
B. $30 V$
C. $15 V$
D. $45 V$

Show correct answer & step-by-step solution

Correct answer: A — $60 V$

Solution

The induced EMF is ε = L \frac{∣Δ I ∣}{Δ t} . Here, Δ I = ∣2 - 5∣ = 3 A . Thus, ε = 2 \times \frac{3}{0.1} = 60 V .

Attempt this question & track your score

Attempt & Track Free →

More Electromagnetic Induction practice questions

$A magnetic flux of 500 Weber passes through a coil of 10 turns in 0.1 seconds. What is the magnitude of the induced elec$
$Lenz's law is a consequence of the law of conservation of which physical quantity?$
$A conducting rod of length 1 meter moves with a velocity of 2 meters per second perpendicular to a magnetic field of 0.5$
$The self-inductance of a coil is 2 Henry. If the current in the coil changes at a rate of 5 Amperes per second, what is$
$Which of the following units is equivalent to the Weber?$
$A circular coil of radius 10 cm and 500 turns is placed in a uniform magnetic field of 0.5 T such that the plane of the$
$A metal rod of length 1 meter rotates about one end with an angular velocity of 20 radians per second in a uniform magne$
$A square loop of side 10 cm and resistance 0.5 ohm is moved out of a magnetic field of 1 Tesla at a constant velocity of$
$Two coils have a mutual inductance of 0.005 Henry. If the current in the primary coil changes from 5 Ampere to 2 Ampere$
$A solenoid of length 0.5 m has 1000 turns and across-sectional area of 10 square centimeters. What is the self-inductanc$
$A square loop of side length Land resistance R is placed in a time-varying magnetic field B = B0 sin(omega t) directed p$
$A conducting rod of length L rotates with angular velocity omega about one end in a uniform magnetic field B perpendicul$

View all Electromagnetic Induction questions →

The self-inductance of a coil is L=2 H. If the current in the coil changes from I1​=5 A to I2​=2 A in Δt=0.1 s, what is the magnitude of the induced electromotive force ε?

Solution

Attempt this question & track your score

More Electromagnetic Induction practice questions

$The self-inductance of a coil is L = 2 H . If the current in the coil changes from I_{1} = 5 A to I_{2} = 2 A in Δ t = 0.1 s, what is the magnitude of the induced electromotive force ε ?$