Question

What is the self-inductance of a long air-core solenoid?

Options

• \[L=\frac{\mu_0n^2l}{A}\]

• \[L=\mu_0nIAl\]

• \[L=\mu_0n^2Al\]

• \[L=\mu_0n^2IAl\]

Answer 1

Divide the total flux linkage \[\mu_0n^2IAl\] by current \[I\]. The current cancels, leaving \[L=\mu_0n^2Al\].