Exam 23: Gauss Law

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

A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one face of the cube is:

Choose the INCORRECT statement:

Charge Q is distributed uniformly throughout an insulating sphere of radius R. The magnitude of the electric field at a point R/2 from the center is:

Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux in N . m²/C through the outer surface of the shell is:

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 in coulombs on the outer surface of the shell is:

A point charge is placed at the center of a spherical Gaussian surface. The electric flux $\phi$ _E is changed if:

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:

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:

Two large parallel plates carry positive charge of equal magnitude 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.

The flux of the electric field through a 2.0 m² portion of the yz plane 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 in N/C just outside the surface of the sphere is:

The table below gives the electric flux in N .m²/C through the ends and round surfaces of four gaussian surfaces in the form of cylinders. Rank the cylinders according to the charge inside, from the most negative to the most positive.

A round wastepaper basket with a 0.15-m radius opening is in a uniform electric field of 300 N/C, perpendicular to the opening. The total flux through the sides and bottom, in N . m²/C, is:

Positive charge Q is distributed uniformly throughout an insulating sphere of radius R, centered at the origin. A particle with a positive charge Q is placed at x = 2R on the x axis. The magnitude of the electric field at x = R/2 on the x axis is:

10 C of charge are placed on a spherical conducting shell. A particle with a charge of -3-C point charge is placed at the center of the cavity. The net charge in coulombs on the inner surface of the shell 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 in N .m²/C through the lecture hall walls is:

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

A 30-N/C uniform electric field points perpendicularly toward the left face of a large neutral conducting sheet. The area charge density on the left and right faces, respectively, are:

A long line of charge with charge per unit length runs along the cylindrical axis of a cylindrical shell which carries a charge per unit length of $\lambda$ _c. The charge per unit length on the inner and outer surfaces of the shell, respectively are: