Exam 25: Gausss Law

The electric flux through the two adjacent spherical surfaces shown below is known to be the same. It is also known that there is no charge inside either spherical surface. We can conclude that

A 4.0-pC point charge is placed at the center of a hollow (inner radius = 2.0 cm, outer radius = 4.0 cm) conducting sphere which has a net charge of 4.0 pC. Determine the magnitude of the electric field at a point which is 6.0 cm from the point charge.

Two planes of charge with no thickness, A and B, are parallel and vertical. The electric field in the region between the two planes has magnitude . The electric field in the region to the left of A and the electric field in the region to the right of B may have the magnitudes

An astronaut is in an all-metal chamber outside the space station when a solar storm results in the deposit of a large positive charge on the station. Which statement is correct?

A long straight metal rod has a radius of 2.0 mm and a surface charge of density 0.40 nC/m². Determine the magnitude of the electric field 3.0 mm from the axis.

Three infinite planes of charge, A, B and C, are vertical and parallel to one another. There is a uniform electric field to the left of plane A and a uniform electric field to the right of plane C. The field points to the left and the field points to the right. The signs of the charges on plates A, B and C may be

A small metal sphere is suspended from the conducting cover of a conducting metal ice bucket by a non-conducting thread. The sphere is given a negative charge before the cover is placed on the bucket. The bucket is tilted by means of a non-conducting material so that the charged sphere touches the inside of the bucket. Which statement is correct?

An uncharged metal sphere is placed on an insulating puck on a frictionless table. While being held parallel to the table, a rod with a charge q is brought close to the sphere, but does not touch it. As the rod is brought in, the sphere

A point charge (5.0 pC) is located at the center of a spherical surface (radius = 2.0 cm), and a charge of 3.0 pC is spread uniformly upon this surface. Determine the magnitude of the electric field 1.0 cm from the point charge.

Charge of uniform linear density (4.0 nC/m) is distributed along the entire x axis. Determine the magnitude of the electric field on the y axis at y = 2.5 m.

A uniform electric field is present in the region between the infinite parallel planes of charge A and B, and a uniform electric field is present in the region between the infinite parallel planes of charge B and C. When the planes are vertical and the fields are both non-zero,

A uniform charge density of 500 nC/m³ is distributed throughout a spherical volume (radius = 16 cm). Consider a cubical (4.0 cm along the edge) surface completely inside the sphere. Determine the electric flux through this surface.

A charge of 0.80 nC is placed at the center of a cube that measures 4.0 m along each edge. What is the electric flux through one face of the cube?

A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm) surface centered on the origin. Determine the electric flux through this surface.

The total electric flux through a closed cylindrical (length = 1.2 m, diameter = 0.20 m) surface is equal to −5.0 N ⋅ m²/C. Determine the net charge within the cylinder.

A uniform electric field is present in the region between infinite parallel plane plates A and B and a uniform electric field is present in the region between infinite parallel plane plates B and C. When the plates are vertical, is directed to the right and to the left. The signs of the charges on plates A, B and C may be

Two concentric imaginary spherical surfaces of radius R and 2R respectively surround a positive point charge −Q located at the center of the surfaces. When compared to the electric flux Φ1 through the surface of radius R, the electric flux Φ2 through the surface of radius 2R is

Charge of uniform density (0.30 nC/m²) is distributed over the xy plane, and charge of uniform density (−0.40 nC/m²) is distributed over the yz plane. What is the magnitude of the resulting electric field at any point not in either of the two charged planes?

A positive point charge q is placed off center inside an uncharged metal sphere insulated from the ground as shown. Where is the induced charge density greatest in magnitude and what is its sign? ​ ​

A charge of uniform volume density (40 nC/m³) fills a cube with 8.0-cm edges. What is the total electric flux through the surface of this cube?