Question

a solid ball of radius rb has a uniform charge density rho . part a what is the magnitude of the electric field e(r) at a distance r>rb from the center of the ball?

Answer 1

The magnitude of the electric field at a distance r from the center of a solid ball with a uniform charge density can be found using Coulomb's law. The total charge of the ball is calculated by multiplying the charge density and the volume of the ball. Substituting this value into the electric field formula will give the magnitude of the electric field.

Step-by-step explanation:

The magnitude of the electric field at a distance r from the center of a solid ball of radius rb with a uniform charge density rho can be found using the formula: E(r) = k * (Q / r^2). Where k is the Coulomb's constant, Q is the total charge of the ball, and r is the distance from the center of the ball. Since the ball has a uniform charge density, the total charge Q can be calculated as the product of the charge density rho and the volume of the ball: Q = (4/3) * pi * rb^3 * rho. Substituting this value of Q into the electric field formula will give you the magnitude of the electric field at a distance r from the center of the ball.