An insulating sphere with radius a has uniform charge density p but is centred at b. a) Show the electric field inside the sphere is given by E = p(r, - b)/3€0. b) Suppose a sphere of radius R has a spherical hole of radius a located within its volume and centered at b, where a < b < R. A cross-section of the situation is given on the right. The solid part of the sphere has uniform volume charge density p. Find the magnitude and direction of E inside the hole, and show that E is uniform (constant in magnitude and direction) over the entire hole. R b. Charge density p
An insulating sphere with radius a has uniform charge density p but is centred at b. a) Show the electric field inside the sphere is given by E = p(r, - b)/3€0. b) Suppose a sphere of radius R has a spherical hole of radius a located within its volume and centered at b, where a < b < R. A cross-section of the situation is given on the right. The solid part of the sphere has uniform volume charge density p. Find the magnitude and direction of E inside the hole, and show that E is uniform (constant in magnitude and direction) over the entire hole. R b. Charge density p
Chapter6: Gauss's Law
Section: Chapter Questions
Problem 69P: The surface charge density on a long straight metallic pipe is . What is the electric field outside...
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