Free AP Physics C lesson
Planes & Non-Uniform
This AP Physics C: Electricity & Magnetism lesson is designed for AP Physics C self-study. It includes 6 video lessons, 7 practice questions, and an estimated completion time of 25 minutes.
Video lessons
Gauss's Law and the Electric Field Due to a Very Long and Wide Slab of Charge
Watch on YouTubeGauss's Law and the Electric Field Due to a Very Long and Wide Plane of Charge
Watch on YouTubeGauss's Law and the Electric Field Due to a Non-Uniformly Distributed Spherical Charge Density
Watch on YouTubeGauss's Law and the Electric Field Due to a Non-Uniformly... (part 2)
Watch on YouTubeGauss's Law and the Electric Field Due to a Non-Uniformly Charged Cylindrical Insulator
Watch on YouTubeGauss's Law and the Electric Field Due to a Non-Uniformly Charged Cylindrical Insulator (part 2)
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Practice covered
- A thick slab of insulating material with uniform volume charge density rho extends from y = 0 to y = d. Using Gauss's Law, the electric field inside the slab (for 0 < y < d) is:
- For an infinite plane with uniform surface charge density sigma, the electric field magnitude at any distance from the plane is:
- Two large parallel plates have surface charge densities +sigma and -sigma with sigma = 4.0 times 10^-9 C/m². Calculate the magnitude of the electric field (in N/C) between the plates. (Use epsilon_0 = 8.85 times 10^-12 C²/(N·m²))
- A sphere of radius R has a non-uniform charge density rho(r) = rho_0 r / R where r is the distance from the center. To find the electric field at radius r < R using Gauss's Law, you must:
- A sphere has charge density rho(r) = Ar^2 where A = 5.0 times 10^-6 C/m⁵. Calculate the total enclosed charge in nanocoulombs (nC) within radius r = 0.10 m. (Hint: Q = int_0^r Ar'^2 cdot 4pi r'^2 dr')
- A long cylindrical insulator of radius R has volume charge density rho(r) = rho_0(1 - r / R). The electric field inside the cylinder (r < R) will:
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