This question has Statement 1 and Statement 2. Of the four choice… - Vidyadip

Question

This question has Statement $1$ and Statement $2.$ Of the four choices given after the Statements, choose the one that best describes the two Statements.

Statement $1 :$ Self inductance of a long solenoid of length $L,$ total number of turns $N$ and radius $r$ is less than $\frac{{\pi {\mu _0}{N^2}{r^2}}}{L}$

Statement $2:$ The magnetic induction in the solenoid in Statement $1$ carrying current $I$ is $\frac{{{\mu _0}NI}}{L}$ in the middle of the solenoid but becomes less as we move towards its ends.

✓

Answer

Self inductance of a long solenoid is given by

$L=\frac{\mu_{0} N^{2} A}{l}$

Magnetic field at the centre of solenoid

$B=\frac{\mu_{0} N I}{l}$

So both the statements are correct and statement $2$ is correct explanation of statement $1$

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