At a metal sphere is given a uniform volume 1 At t a metal

? At , a metal sphere is given a uniform volume 1. At t, a metal sphere is given a uniform volume charge density, with total charge +0. Consider the following student discussion: Student 1: The charges are uniformly distributed throughout the sphere, so the distribution Student 2: \"I disagree. The electric field inside the sphere isn\'t zero, so charges will feel a Use the following questions as a guide to determine which student, if should be stable. Charges won\'t move after to force at to and will move. That means the distribution isn\'t stable.\" either, is correct. Gaussian surface a. A spherical Gaussian surface is centered inside the sphere. Af t,is he net flux hrough the Gaussin surice poztve, regariue. or zero? Uniformly charged sphere At to, in which direction is the electric field at point A? If the electric field is zero, state so explicitly. b. c. Which student, if either, is correct? Explain.

Solution

Answer:

1. (a) Positive

(b) radially outward (would push the charge to surface )

(c) Student 2 is correct, since it is given that at time t₀ the sphere has uniform volume charge density. When the distribution be stable all the charge will reside on the surface because in metal all the charge reside on surface

2. The figure on middle shows the stable configuration.

   If two plates are placed close to each other, the charge on inner surfaces must be equal and opposite to each other in such a way that net total charge on individual plate should not change