Question

Charge is distributed uniformly on the surface of a spherical balloon (an insulator). A point particle with charge q is inside. The electrical force on the particle is greatest when: a. it is near the inside surface of the balloon b. it is at the center of the balloonc. it is halfway between the balloon center and the inside surfaced. it is anywhere inside (the force is same everywhere and Is not zero)e. it is anywhere inside (the force is zero everywhere)

Answer 1

Answer:

e. it is anywhere inside (the force is zero everywhere)

Explanation:

The relation between the force and electric field is given as follows

$\vec{F} = \vec{E}q$

where q is the charge inside, and E is the electric field inside the balloon created by the charge on the surface.

By Gauss' Law, the electric field inside the balloon created by the charges on the surface (excluding the charge q, since the electric field of the same charge cannot apply a force on the same charge) is zero.

$\int \vec{E}d\vec{a} = \frac{Q_{enc}}{\epsilon_0}\\E4\pi r^2 = 0\\E = 0$

Since the external electric field inside the sphere is zero, then the force on the point charge is zero everywhere.