AP Physics C E&M 13.4 Inductance Question Bank

Practise inductance by linking voltage to changing current, calculating magnetic-field energy, and deriving solenoid inductance from turns and geometry.

Exam points

Use V=L|dI/dt| to calculate induced voltage, current slope, or current from a given V(t).
Calculate magnetic energy with U=1/2 LI^2 after determining the inductor current.
Derive solenoid inductance from N^2, cross-sectional area, length and core permeability.

Covered syllabus points

13.4.A—Describe the physical and electrical properties of an inductor

[Maximum number: 1]

A long, cylindrical-shaped solenoid has length $\ell$ and N loops. The diameter of one loop is d. Which of the following expressions is equal to the inductance of the solenoid?

$\frac{1}{4} \frac{N \mu_{0} \pi d^{2}}{\ell}$

$\frac{1}{2} \frac{N \mu_{0} \pi d^{2}}{\ell}$

$\frac{1}{4} \frac{N^{2} \mu_{0} \pi d^{2}}{\ell}$

$\frac{1}{2} \frac{N^{2} \mu_{0} \pi d^{2}}{\ell}$

$\frac{N^{2} \mu_{0} \pi d^{2}}{\ell}$

Figure for Question 13.4 Inductance question 1 — AP Physics C: Electricity & Magnetism

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Covered syllabus points

13.4 Inductance question 1