Question 1

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 net outward flux through the entire cylindrical surface?

Accepted Answer

The answer of An electric field is  = (400...

Question 2

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?

Accepted Answer

The electric field at a point inside a conducting material is zero, so the charge on the hollow sphere does not contribute to the electric field at radius r (where a < r < b). The electric field due to the solid sphere of charge +Q at a distance r from its center is given by kQ/r^2, following Coulomb's law.

Question 3

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 r < a, is which of the following, in terms of k = (4 $\pi$$\isin$₀)^-1?

Accepted Answer

As r < a, the point lies inside the solid sphere (+Q). Hence by Gauss's law, the electric flux passing through any closed surface within the solid sphere is +Q/ε0. As there is no charge enclosed within the surface at radius r, the electric field at that point is zero. Therefore, the answer is E) zero.

Question 4

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.

Accepted Answer

The answer of A hollow spherical shell of radius 5.36...

Question 5

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?

Accepted Answer

The answer of A sphere of radius 8.0 cm carries...

Question 6

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.

Accepted Answer

The answer of A cube of side 3.56 cm has...

Question 7

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 r > b, is which of the following, in terms of k = (4$\pi$$\isin$₀)^-1?

Accepted Answer

For a point outside both spheres (r > b), the electric field is determined by the net charge enclosed by a Gaussian surface at radius r. Since the solid sphere has a charge of +Q and the hollow sphere has a charge of -Q, the net charge is 0, resulting in an electric field of zero.

Question 8

The figure shows a surface enclosing the charges 2q and -q. The net flux through the surface surrounding the two charges is

Accepted Answer

The answer of  The figure shows a surface enclosing...

Question 9

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 net charge inside the cylinder?

Accepted Answer

The answer of An electric field is  = (400...

Question 10

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

Accepted Answer

The answer of A surface is so constructed that, at...

Question 11

A rod of infinite length has a charge per unit length of $\lambda$ (= q/l). Gauss's law makes it easy to determine that the electric field strength at a perpendicular distance r from the rod is, in terms of k = (4$\pi$$\isin$₀)^-1,

Accepted Answer

The answer of  A rod of infinite length has...

Question 12

A horizontal surface of area 0.321 m² has an electric flux of 123 N^.m²/C passing through it at an angle of 25° to the horizontal. If the flux is due to a uniform electric field, calculate the magnitude of the latter.

Accepted Answer

The electric flux passing through a surface due to a uniform electric field is given by the product of the electric field strength and the area of the surface projected perpendicular to the field. Φ = EA cosθ where Φ is the electric flux, E is the electric field strength, A is the area of the surface, and θ is the angle between the field lines and the normal to the surface. Rearranging the formula, we get E = Φ/(A cosθ) Substituting the given values, we get E = 123/(0.321 cos25°) E = 907 N^.m²/C Therefore, the correct answer is (A).

Question 13

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?

Accepted Answer

The answer of An electric field is  = (400...

Question 14

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?

Accepted Answer

The answer of A sphere of radius 8.0 cm carries...

Question 15

The figure shows a surface, S, with two charges q and -2q. The net flux through the surface is

Accepted Answer

The net flux through a closed surface is proportional to the charge enclosed within that surface according to Gauss's law. In this case, the charges q and -2q cancel out due to their opposite signs, resulting in a net charge of zero. Therefore, the net flux through the surface is also zero.

Question 16

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

Accepted Answer

The fact that the surface normal vector points inward implies that the enclosed charge is negative. This is because the electric field lines start from positive charges and terminate at negative charges. Since the surface normal vector points inward, the surface is enclosing the termination points of electric field lines, which are negative charges. Therefore, the answer is option B.

Question 17

A hollow metal sphere has a total charge of 100 µC. If the radius of the sphere is
50 cm, the electric field intensity at a distance of 3.0 m from the surface of the sphere is approximately

Accepted Answer

The answer of A hollow metal sphere has a total...

Question 18

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 each end of the cylinder?

Accepted Answer

The answer of An electric field is  = (400...

Question 19

The figure shows a surface enclosing the charges q and -q. The net flux through the surface surrounding the two charges is

Accepted Answer

The net flux through the surface is zero according to Gauss's Law. The total charge enclosed by the surface is zero because the charges q and -q cancel each other out. Therefore, the net electric field passing through the surface is also zero, which means the net flux is zero.

Question 20

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

Accepted Answer

The answer of  A solid sphere of radius a...

Quiz 2: The Electric Field II: Continuous Charge Distributions

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?

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 net charge inside the cylinder?

A horizontal surface of area 0.321 m² has an electric flux of 123 N^.m²/C passing through it at an angle of 25° to the horizontal. If the flux is due to a uniform electric field, calculate the magnitude of the latter.

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?

A hollow metal sphere has a total charge of 100 µC. If the radius of the sphere is 50 cm, the electric field intensity at a distance of 3.0 m from the surface of the sphere is approximately

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 each end of the cylinder?

Quiz 2: The Electric Field II: Continuous Charge Distributions

A hollow spherical shell of radius 5.36 cm has a charge of 1.91 μ\muμ 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 ρ\rhoρ = 500 nC/m3. What is the electric field at r = 3.0 cm?

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

The figure shows a surface enclosing the charges 2q and -q. The net flux through the surface surrounding the two charges is

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 net charge inside the cylinder?

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

A rod of infinite length has a charge per unit length of λ\lambdaλ (= q/l) . Gauss's law makes it easy to determine that the electric field strength at a perpendicular distance r from the rod is, in terms of k = (4 π\piπ∈\isin∈ 0) -1,

A horizontal surface of area 0.321 m2 has an electric flux of 123 N.m2/C passing through it at an angle of 25° to the horizontal. If the flux is due to a uniform electric field, calculate the magnitude of the latter.

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

The figure shows a surface, S, with two charges q and -2q. The net flux through the surface is

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

A hollow metal sphere has a total charge of 100 µC. If the radius of the sphere is 50 cm, the electric field intensity at a distance of 3.0 m from the surface of the sphere is approximately

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 each end of the cylinder?

The figure shows a surface enclosing the charges q and -q. The net flux through the surface surrounding the two charges is

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?

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.

A horizontal surface of area 0.321 m² has an electric flux of 123 N^.m²/C passing through it at an angle of 25° to the horizontal. If the flux is due to a uniform electric field, calculate the magnitude of the latter.

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?