Exam 24: Gausss Law

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.

Which one of the following is not an expression for electric charge?

A uniform linear charge density of 7.0 nC/m is distributed along the y axis from y = 2 m to y = 5 m. Which of the following integrals is correct for the magnitude (in N/C) of the electric field at y = 0 on the y axis?

A Geiger counter is like an electroscope that discharges whenever ions formed by a radioactive particle produce a conducting path. A typical Geiger counter consists of a thin conducting wire of radius 0.002 cm stretched along the axis of a conducting cylinder of radius 2.0 cm. The wire and the cylinder carry equal and opposites charges of 8.0 × 10−¹⁰ C all along their length of 10.0 cm. What is the magnitude of the electric field at the surface of the wire?

Which one of the following cannot be a statement of Gauss's Law for some physical situation?

Charge of uniform density (40 pC/m²) is distributed on a spherical surface (radius = 1.0 cm), and a second concentric spherical surface (radius = 3.0 cm) carries a uniform charge density of 60 pC/m². What is the magnitude of the electric field at a point 4.0 cm from the center of the two surfaces?

Two charges of 15 pC and −40 pC are inside a cube with sides that are of 0.40-m length. Determine the net electric flux through the surface of the cube.

A hemispherical surface (half of a spherical surface) of radius R is located in a uniform electric field of magnitude E that is parallel to the axis of the hemisphere. What is the magnitude of the electric flux through the hemisphere surface?

A point charge +Q is located on the x axis at x = a, and a second point charge −Q is located on the x axis at x = −a. A Gaussian surface with radius r = 2a is centered at the origin. The flux through this Gaussian surface is

A long nonconducting cylinder (radius = 12 cm) has a charge of uniform density (5.0 nC/m³) distributed throughout its column. Determine the magnitude of the electric field 5.0 cm from the axis of the cylinder.

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.)

A uniformly charged rod (length = 2.0 m, charge per unit length = 3.0 nC/m) is bent to form a semicircle. What is the magnitude of the electric field at the center of the circle?

A uniform linear charge of 3.0 nC/m is distributed along the y axis from y = −3 m to y = 2m. Which of the following integrals is correct for the magnitude of the electric field at y = 4 m on the y axis?

The electric field in the region of space shown is given by N/C where y is in m. What is the magnitude of the electric flux through the top face of the cube shown?

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 5.0-nC point charge is embedded at the center of a nonconducting 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 center of the sphere?

A charge of 5.0 pC is distributed uniformly on a spherical surface (radius = 2.0 cm), and a second charge of −2.0 pC is distributed uniformly on a concentric spherical surface (radius = 4.0 cm). Determine the magnitude of the electric field 3.0 cm from the center of the two surfaces.

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

A uniform linear charge of 2.0 nC/m is distributed along the x axis from x = 0 to x = 3 m. Which of the following integrals is correct for the y component of the electric field at y = 4 m on the y axis?

Whitney says that Gauss's Law can be used to find the electric field of a sufficiently symmetrical distribution of charge as long as over the whole Gaussian surface. Algie says that the electric field must be a constant vector over the entire Gaussian surface. Which one, if either, is correct?