Exam 23: Gauss Law

A spherical conducting shell has charge Q. A particle with charge q is placed at the center of the cavity. The charge on the inner surface of the shell and the charge on the outer surface of the shell, respectively, are:

A hollow conductor is positively charged. A small uncharged metal ball is lowered by a silk thread through a small opening in the top of the conductor and allowed to touch its inner surface. After the ball is removed, it will have:

10 C of charge are placed on a spherical conducting shell. A particle with a charge of -3C is placed at the center of the cavity. The net charge on the outer surface of the shell is:

A solid insulating sphere of radius R contains a positive charge that is distributed with a volume charge density that does not depend on angle but does increase linearly with distance from the sphere center. Which of the graphs below correctly gives the magnitude E of the electric field as a function of the distance r from the center of the sphere?

A conducting sphere of radius 5.0 cm carries a net charge of 7.5 µC. What is the surface charge density on the sphere?

Consider Gauss law: . Which of the following is true?

Two large insulating parallel plates carry charge of equal magnitude, one positive and the other negative, that is distributed uniformly over their inner surfaces. Rank the points 1 through 5 according to the magnitude of the electric field at the points, least to greatest.

A particle with charge +Q is placed outside a large neutral conducting sheet. At any point in the interior of the sheet the electric field produced by charges on the surface is directed:

Which of the following graphs represents the magnitude of the electric field as a function of the distance from the center of a solid charged conducting sphere of radius R?

Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux through the inner surface of the shell is:

A closed cylinder with a 0.15-m radius ends is in a uniform electric field of 300 N/C, perpendicular to the ends. The total flux through the cylinder is:

A conducting sphere of radius 0.01 m has a charge of 1.0 * 10^-9 C deposited on it. The magnitude of the electric field just outside the surface of the sphere is:

A particle with charge 5.0 $\mu$ C is placed at the corner of a cube. The total electric flux through all sides of the cube is:

A physics instructor in an anteroom charges an electrostatic generator to 25 $\mu$ C, then carries it into the lecture hall. The net electric flux through the lecture hall walls is:

A 3.5-cm radius hemisphere contains a total charge of 6.6 * 10^-7 C. The flux through the rounded portion of the surface is 9.8 * 10⁴ N.m²/C. The flux through the flat base is:

Charge is distributed uniformly on the surface of a large flat plate. The electric field 2 cm from the plate is 30 N/C. The electric field 4 cm from the plate is:

When a piece of paper is held with one face perpendicular to a uniform electric field the flux through it is 25 N.m²/C. When the paper is turned 25 $\degree$ with respect to the field the flux through it is:

Positive charge Q is placed on a conducting spherical shell with inner radius R₁ and outer radius R₂. A particle with charge q is placed at the center of the cavity. The magnitude of the electric field at a point in the cavity, a distance r from the center, is:

The flux of the electric field (24 N/C) + (30 N/C) + (16 N/C) through a 2.0 m² portion of the yz plane is:

A point particle with charge q is placed inside a cube but not at its center. The electric flux through any one side of the cube: