Question

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 :

• A. 3 H
• B. 2 H
• C. 1 H
• D. 4 H

Answer 1

Answer: (C)

1 H

Answer 2

Flux linked with each turn $= 4 \times 10^{-3} \, Wb$
$\therefore$ Total flux linked = $1000[4 \times 10^{-3}] Wb$
$\phi_{total} = 4 \, \Rightarrow \, L \, i = 4 \, \Rightarrow \, L = 1 H$