Question

Two inductor coils with inductance 5 mH and 15 mH are connected in parallel. The resultant inductance of the combination of the two coils is ______.

Options

• 2.50 mH

• 3.25 mH

• 3.75 mH

• 4.25 mH

Answer 1

Two inductor coils with inductance 5 mH and 15 mH are connected in parallel. The resultant inductance of the combination of the two coils is 3.75 mH.

Explanation:

Given: L₁ = 5 mH

L₂ = 15 mH

The effective inductance for a parallel connection is:

`1/L = 1/L_1 + 1/L_2`

∴ `1/L = 1/5 + 1/15`

`1/L = (3 + 1)/(15)`

`1/L = 4/15`

`1/L = 1/3.75`

∴ L = 3.75 mH