Electromagnetic Induction - Result Question 22

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22. A long solenoid has 1000 turns. When a current of $4 A$ flows through it, the magnetic flux linked with each turn of the solenoid is $4 \times 10^{-3} Wb$. The self inductance of the solenoid is : [2016]

======= ####22. A long solenoid has 1000 turns. When a current of $4 A$ flows through it, the magnetic flux linked with each turn of the solenoid is $4 \times 10^{-3} Wb$. The self inductance of the solenoid is : [2016]

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/electromagnetic-induction/electromagnetic-induction—result-question-22.md (a) $4 H$

(b) $3 H$

(c) $2 H$

(d) $1 H$

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Answer:

Correct Answer: 22. (d)

Solution:

  1. (d) Here, number of turns $n=1000$; current through the solenoid $i=4 A$; flux linked with each turn $=4 \times 10^{-3} Wb$

$\therefore$ Total flux linked,

$=1000[4 \times 10^{-3}]=4 Wb$

$\phi _{\text{total }}=4 \Rightarrow Li=4$

$\Rightarrow L=1 H$

Number of flux linkages with the coil $\propto$ current (I)

$ N \phi \propto I \Rightarrow N \phi=L_I \Rightarrow L=\frac{N \phi}{I} . $