Which of the following has the largest inductance?
A)a solenoid of radius 1cm,length 5 cm,and with 100 turns of wire per centimeter
B)a solenoid of radius 3cm,length 1 cm,and with 100 turns of wire per centimeter
C)a solenoid of radius 2cm,length 2 cm,and with 100 turns of wire per centimeter
D)a solenoid of radius 1cm,length 1 cm,and with 200 turns of wire per centimeter
E)a solenoid of radius 2 cm,length 5 cm,and with 100 turns of wire per centimeter

Question

Quizplus · Accepted Answer

The inductance of a solenoid is given by the formula $L = \mu_0 N^2 A / l$, where $L$ is the inductance, $\mu_0$ is the permeability of free space, $N$ is the number of turns, $A$ is the cross-sectional area, and $l$ is the length of the solenoid. The solenoid in option E has a relatively large cross-sectional area due to its radius of 2 cm and a longer length of 5 cm, which increases its inductance compared to the others.

Which of the Following Has the Largest Inductance