Electromagnetic Induction - Result Question 24

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24. A long solenoid has 500 turns. When a current of 2 ampere is passed through it, the resulting magnetic flux linked with each turn of the solenoid is $4 \times 10^{-3} Wb$. The self-inductance of the solenoid is

======= ####24. A long solenoid has 500 turns. When a current of 2 ampere is passed through it, the resulting magnetic flux linked with each turn of the solenoid is $4 \times 10^{-3} Wb$. The self-inductance of the solenoid is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/electromagnetic-induction/electromagnetic-induction—result-question-24.md (a) 2.5 henry

(b) 2.0 henry

(c) 1.0 henry

(d) 40 henry

[2008]

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Answer:

Correct Answer: 24. (c)

Solution:

  1. (c) Total number of turns in the solenoid, $N=500$

Current, $I=2 A$.

Magnetic flux linked with each turn

$=4 \times 10^{-3} Wb$

As, $\phi=LI$ or $N \phi=LI \Rightarrow L=\frac{Nf}{1}$

$=\frac{500^{\prime} 4^{\prime} 10^{-3}}{2}$ henry $=1 H$.