Question

How does a magnetic core of relative permeability \[\mu_r\] change the solenoid self-inductance expression?

Options

• \[L=\frac{\mu_0n^2Al}{\mu_r}\]

• \[L=\mu_0n^2Al+\mu_r\]

• \[L=\mu_r\mu_0n^2Al\]

• \[L=\mu_r\mu_0nIAl\]

Answer 1

For a magnetic core, relative permeability \[\mu_r\] multiplies the air-core expression. Thus \[L=\mu_r\mu_0n^2Al\].