Question

A long solenoid has $1000$turns. When a current of $4A$ 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. $4$ H
• B. $3$ H
• C. $2$ H
• D. $1$ H

Answer 1

The correct option is D $1$ H

Flux linked with each turn $=4\times {10}^{-3}Wb$

$\Rightarrow$ Total flux linked $=1000\times 4\times {10}^{-3}Wb$

$\Rightarrow {\varphi }_{total}=4$

$\Rightarrow LI=4$

$\Rightarrow L=1H$