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AP Physics C E&M 9.1.A Electric Potential Energy of a System

Practise describing electric potential energy by summing pairwise charge interactions, comparing configurations, and relating assembly work to energy changes.

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

Exam points

  • Sum kq_iq_j/r_ij over each distinct charge pair to calculate the total potential energy of the system.
  • Use charge signs and separations to rank the potential energy of different configurations.
  • Relate external assembly work or electric-field work to the corresponding change in potential energy.

9.1.A—Describe the electric potential energy of a system question 1

[Maximum number: 1]

Questions 31-33

Figure for Question 9.1.A—Describe the electric potential energy of a system question 1 — AP Physics C: Electricity & Magnetism

Two small spheres have charges +Q and -Q and are located at the bottom corners of an equilateral triangle, as shown in the figure above. The equilateral triangle has sides of length a, and point P is at the top corner of the triangle.

The potential energy stored in the charge configuration shown is

A

Q24πε0a\frac{Q^{2}}{4 \pi \varepsilon_{0} a}

B

Q4πε0a2\frac{Q}{4 \pi \varepsilon_{0} a^{2}}

C

zero

D

Q4πε0a2-\frac{Q}{4 \pi \varepsilon_{0} a^{2}}

E

Q24πε0a-\frac{Q^{2}}{4 \pi \varepsilon_{0} a}

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