Question

Problem 10 A solenoid with length ℓ, N turns, and cross-sectional area A has inductance L if the solenoid can be treated as infinitely long. What would the inductance become if the area was doubled while the other parameters remained the same? Select One of the Following: (a) L (b) 2L (c) 4L (d) L/2 (e) L/4

Answer 1

Answer:

(b) 2L

Explanation:

The inductance of a solenoid is given by the following equation:

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

$\mu$ is the permeability of the solenoid material. Therefore,  the inductance is directly proportional to the  cross-sectional area, so a solenoid with twice the area has twice the inductance.