Exam 2: Gausss Law

A 4.0-pC point charge is placed at the centre 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.

A student has made the statement that the electric flux through one half of a Gaussian surface is always equal and opposite to the flux through the other half of the Gaussian surface.This is:

The xy plane is 'painted' with a uniform surface charge density which is equal to 40 nC/m2.Consider a spherical surface with a 4.0-cm radius that has a point in the xy plane as its centre.What is the electric flux through that part of the spherical surface for which z > 0?

A solid non-conducting sphere (radius = 12 cm) has a charge of uniform density (30 nC/m3) distributed throughout its volume.Determine the magnitude of the electric field 15 cm from the centre of the sphere.

A 5.0-nC point charge is embedded at the centre of a non-conducting sphere (radius = 2.0 cm) which has a charge of -8.0 nC distributed uniformly throughout its volume.What is the magnitude of the electric field at a point that is 1.0 cm from the centre of the sphere?

Charge of uniform surface density (0.20 nC/m2) is distributed over the entire xy plane.Determine the magnitude of the electric field at any point having z = 2.0 m.

Charge of uniform density (80 nC/m3) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.0 mm and 3.0 mm.Determine the magnitude of the electric field at a point which is 2.0 mm from the symmetry axis.

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?

An uncharged spherical conducting shell surrounds a charge -q at the centre of the shell.The charges on the inner and outer surfaces of the shell are respectively:

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 positive point charge q is placed off centre 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 point charge of 6.0 nC is placed at the centre of a hollow spherical conductor (inner radius = 1.0 cm, outer radius = 2.0 cm) which has a net charge of -4.0 nC.Determine the resulting charge density on the inner surface of the conducting sphere.

The electric field just outside the surface of a hollow conducting sphere of radius 20 cm has a magnitude of 500 N/C and is directed outward.An unknown charge Q is introduced into the centre of the sphere and it is noted that the electric field is still directed outward but has decreased to 100 N/C.What is the magnitude of the charge Q?

A positive point charge q is placed at the centre of an uncharged metal sphere insulated from the ground.The outside of the sphere is then grounded as shown.Then the ground wire is removed.A is the inner surface and B is the outer surface.Which statement is correct?

A constant electric field, N/C, goes through a surface with area m2.(This surface can also be expressed as an area of 10 m2 with the direction of the unit vector ().What is the magnitude of the electric flux through this area?

You are told that summed over both the surface areas of sphere A and sphere B below totals to .You can conclude that:

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

At the point of fission a nucleus of U-238 with 92 protons is divided into two smaller spheres each with 46 protons and a radius of 5.9 * 10-15 m.What is the repulsive force pushing the two spheres apart when they are just touching one another? (The mass of the U-238 nucleus is 3.98 * 10-25 kg.)

Charge of uniform density (20 nC/m2) is distributed over a cylindrical surface (radius = 1.0 cm), and a second coaxial surface (radius = 3.0 cm) carries a uniform charge density of -12 nC/m2.Determine the magnitude of the electric field at a point 2.0 cm from the symmetry axis of the two surfaces.

The axis of a long hollow metallic cylinder (inner radius = 1.0 cm, outer radius = 2.0 cm) coincides with a long wire.The wire has a linear charge density of -8.0 pC/m, and the cylinder has a net charge per unit length of-4.0 pC/m.Determine the magnitude of the electric field 3.0 cm from the axis.