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AP Physics C E&M 13.4.A Inductor Properties

Practise analysing inductors by relating emf to current change, calculating stored magnetic energy, and connecting solenoid geometry to inductance.

Syllabus
Effective Fall 2024
Course
AP Physics C: Electricity & Magnetism

Exam points

  • Integrate V(t)/L or evaluate dI/dt to connect an inductor's voltage and current.
  • Evaluate U=1/2 LI^2 after finding the current in a switched or resistive circuit.
  • Build L=mu N^2 A/l from solenoid turns, loop diameter, length and core material.

13.4.A—Describe the physical and electrical properties of an inductor question 1

[Maximum number: 1]

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

A

14Nμ0πd2ℓ\frac{1}{4} \frac{N \mu_{0} \pi d^{2}}{\ell}

B

12Nμ0πd2ℓ\frac{1}{2} \frac{N \mu_{0} \pi d^{2}}{\ell}

C

14N2μ0πd2ℓ\frac{1}{4} \frac{N^{2} \mu_{0} \pi d^{2}}{\ell}

D

12N2μ0πd2ℓ\frac{1}{2} \frac{N^{2} \mu_{0} \pi d^{2}}{\ell}

E

N2μ0πd2ℓ\frac{N^{2} \mu_{0} \pi d^{2}}{\ell}

Figure for Question 13.4.A—Describe the physical and electrical properties of an inductor question 1 — AP Physics C: Electricity & Magnetism
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