Question

If both the number of turns and core length of an inductor is doubled keeping other factors constant, then its self-inductance will be ______.

Options

• Unaffected

• doubled

• halved

• quadrupled

Answer 1

If both the number of turns and core length of an inductor is doubled keeping other factors constant, then its self-inductance will be doubled.

Explanation:

L = `mu_0 "N"^2/l "A"`

`"L'" = mu_0 (2"N")^2/(2l)"A"`

`= 2mu_0 "N"^2/l "A"`

= 2L