Free AP Physics C lesson

Spherical & Cylindrical

This AP Physics C: Electricity & Magnetism lesson is designed for AP Physics C self-study. It includes 4 video lessons, 6 practice questions, and an estimated completion time of 20 minutes.

Video lessons

  1. Gauss's Law and Concentric Spherical Shells

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  2. Gauss's Law and Concentric Spherical Shells (part 2)

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  3. Gauss's Law and Co-Axial Cables

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  4. Gauss's Law and Co-Axial Cables (part 2)

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Practice covered

  1. Two concentric spherical shells have radii R_1 and R_2 (R_1 < R_2) with charges +Q and -Q respectively. The electric field in the region R_1 < r < R_2 is:
  2. A spherical shell of radius R = 0.10 m carries a total charge of Q = 4.0 times 10^-9 C uniformly distributed on its surface. Calculate the electric field magnitude (in N/C) at a point r = 0.20 m from the center. (Use k = 9.0 times 10^9 N·m²/C²)
  3. A conducting spherical shell with inner radius a and outer radius b has a point charge +Q at its center. The charge distribution on the shell is:
  4. A coaxial cable consists of a solid inner conductor of radius a with charge per unit length +lambda and a cylindrical outer conductor (inner radius b, outer radius c) with charge per unit length -lambda. In the region a < r < b, the electric field is:
  5. A coaxial cable's inner conductor has radius a = 0.002 m and linear charge density lambda = 6.0 times 10^-9 C/m. Calculate the electric field magnitude (in N/C) at radius r = 0.005 m (between conductors). (Use epsilon_0 = 8.85 times 10^-12 C²/(N·m²))
  6. In a coaxial cable at electrostatic equilibrium, where is the charge located on the conducting outer cylinder?
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