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AP Physics C: Electricity & Magnetism 13.4 A Describe the Physical and Electrical Properties of an Inductor Questions

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.

AP Physics C: Electricity & Magnetism 13.4 A Describe the Physical and Electrical Properties of an Inductor Questions 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}

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