By what factor is the self-inductance of an air solenoid changed if only its cross-sectional area,A,is tripled?
A)1/3
B)3
C)6
D)9

Question

Quizplus · Accepted Answer

The self-inductance of a solenoid depends on a variety of factors, including its length, number of turns, and cross-sectional area. However, the cross-sectional area plays a particularly significant role. The self-inductance is directly proportional to the square of the number of turns and the cross-sectional area. Therefore, if the cross-sectional area is tripled, the self-inductance will increase by a factor of 3^2, or 9. So, the correct answer is B.

By What Factor Is the Self-Inductance of an Air Solenoid