Exam 2: The Electric Field II: Continuous Charge Distributions

For a solid uniformly charged sphere of radius R, calculate the electric field at a distance R/2 outside the sphere, divided by the electric field at a distance R/2 inside the sphere.

The electric field for an infinite plane of charge is discontinuous by the amount _____ at a point where there is a surface charge density $\sigma$ .

Consider a uniform electric field = (5.0 kN/C) . What is the flux of this field through a square of side 20 cm if the normal to its plane makes a 45º angle with the x axis?

A cube of side 3.56 cm has a charge of 9.11 $\mu$ C placed at its center. Calculate the electric flux through one side of the cube.

An electric field is = (400 N/C) for x > 0 and = (-400 N/C) for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x axis such that one end is at x = +15 cm and the other is at x = -15 cm. What is the flux through the curved surface of the cylinder?

A surface is so constructed that, at all points on the surface, the vector points outward. Therefore, it can be said that

The charge on an originally uncharged insulated conductor is separated by induction from a positively charged rod brought near the conductor. For which of the various Gaussian surfaces represented by the dashed lines does = 0?

An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density $\rho$ = 200 nC/m³. What is the electric field at r = 2.0 cm?

Use the following scenario for the next question. A solid conducting sphere of radius r_a is placed concentrically inside a conducting spherical shell of inner radius r_b1 and outer radius r_b2. The inner sphere carries a charge Q while the outer sphere does not carry any net charge. -The electric field for r_b1 $\lt$ r $\lt$ r_b2 is

A non-conducting pipe has a uniform charge density of 50 C/m³. The inner radius of the pipe is 25 cm, while the outer radius is 35 cm. Calculate the magnitude of the electric field at r = 40 cm.

Which diagram best represents the electric field along the y-axis?

A sphere of radius 8.0 cm carries a uniform volume charge density $\rho$ = 500 nC/m³. What is the electric field at r = 7.9 cm?

Use the following figure to answer the next problems: -A solid sphere of radius a is concentric with a hollow sphere of radius b, where b > a. If the solid sphere has a charge +Q and the hollow sphere a charge of -Q, the electric field at radius r, where a < r < b, is which of the following, in terms of k = (4 $\pi$$\isin$ ₀)^-1?

Use the following to answer the problem: -An infinite line charge of linear density $\lambda$ = 0.30 µC/m lies along the z axis and a point charge q = 6.0 µC lies on the y axis at y = 2.0 m. The y component of the electric field at the point P on the x axis at x = 3.0 m is approximately

An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density $\rho$ = 200 nC/m³. What is the electric field at r = 8.0 cm?

A spherical shell of radius 9.0 cm carries a uniform surface charge density $\Sigma$ = 9.0 nC/m². The electric field at r = 4.0 cm is approximately

An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density $\rho$ = 200 nC/m³. What is the electric field at r = 3.9 cm?

A hollow spherical shell of radius 5.36 cm has a charge of 1.91 $\mu$ C placed at its center. Calculate the electric flux through an area of 1.20*10^-2 m² on the shell.

A sphere of radius 8.0 cm carries a uniform volume charge density $\rho$ = 500 nC/m³. What is the electric field at r = 3.0 cm?

An infinitely long cylindrical shell of radius 6.0 cm carries a uniform surface charge density $\Sigma$ = 12 nC/m². The electric field at r = 10 cm is approximately