Question

A long solenoid has 500 turns. When a current of 2 $A$ 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

• A. $1.0H$
• B. $4.0H$
• C. $2.5H$
• D. $2.0H$

Answer 1

The correct option is A $1.0H$

Given flux per turn $=4\times {10}^{-3}i=2A$
No of turns = 500
Total flux = $500\times 4\times {10}^{-3}=2A$
Flux, $\varphi =Li2=L\times 2L=1H$