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Question: Answered & Verified by Expert
A long solenoid has 500 turns, when a current of $2 \mathrm{~A}$ is passed through it, the resulting magnetic flux linked with each turn of the solenoid is $4 \times 10^{-3} \mathrm{~Wb}$, then selfinduction of the solenoid is
PhysicsElectromagnetic InductionKCETKCET 2022
Options:
  • A $2.5 \mathrm{H}$
  • B $2.0 \mathrm{H}$
  • C $1.0 \mathrm{H}$
  • D $4.0 \mathrm{H}$
Solution:
2278 Upvotes Verified Answer
The correct answer is: $1.0 \mathrm{H}$
Given, number of turns in the solenoid,
$$
N=500
$$
Current, $I=2 \mathrm{~A}$
Magnetic flux, $\phi=4 \times 10^{-3} \mathrm{~Wb}$
Self-inductance of coil,
$$
L=\frac{N \phi}{I}=\frac{500 \times 4 \times 10^{-3}}{2}=1 \mathrm{H}
$$

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