A long cylinder (radius = 3.0 cm) is filled with a nonconducting material which carries a uniform charge density of 1.3 μC/m3. Determine the electric flux through a spherical surface (radius = 2.0 cm) which has a point on the axis of the cylinder as its center.

A) 5.7 N ⋅ m2/C B) 4.9 N ⋅ m2/C C) 6.4 N ⋅ m2/C D) 7.2 N ⋅ m2/C E) 15 N ⋅ m2/C A) 5.7 N ⋅ m2/C B) 4.9 N ⋅ m2/C C) 6.4 N ⋅ m2/C D) 7.2 N ⋅ m2/C E) 15 N ⋅ m2/C

An 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?

A) 24 N ⋅ m2/C B) 48 N ⋅ m2/C C) 0.24 N ⋅ m2/C D) 0.48 N ⋅ m2/C E) 0 A) 24 N ⋅ m2/C B) 48 N ⋅ m2/C C) 0.24 N ⋅ m2/C D) 0.48 N ⋅ m2/C E) 0

A long nonconducting cylinder (radius = 12 cm) has a charge of uniform density (5.0 nC/m3) distributed throughout its volume. Determine the magnitude of the electric field 15 cm from the axis of the cylinder.

A) 20 N/C B) 27 N/C C) 16 N/C D) 12 N/C E) 54 N/C A) 20 N/C B) 27 N/C C) 16 N/C D) 12 N/C E) 54 N/C

Two infinite, uniformly charged, flat surfaces are mutually perpendicular. One of the sheets has a charge density of +60 pC/m2, and the other carries a charge density of −80 pC/m2. What is the magnitude of the electric field at any point not on either surface?

A) 1.1 N/C B) 5.6 N/C C) 7.9 N/C D) 3.8 N/C E) 4.0 N/C A) 1.1 N/C B) 5.6 N/C C) 7.9 N/C D) 3.8 N/C E) 4.0 N/C

Charge of a uniform density (8.0 nC/m2) is distributed over the entire xy plane. A charge of uniform density (5.0 nC/m2) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 1.0 m.

A) 0.45 kN/C B) 0.17 kN/C C) 0.28 kN/C D) 0.73 kN/C E) 0.62 kN/C A) 0.45 kN/C B) 0.17 kN/C C) 0.28 kN/C D) 0.73 kN/C E) 0.62 kN/C

A long nonconducting cylinder (radius = 6.0 mm) has a nonuniform volume charge density given by αr2, where α = 6.2 mC/m5 and r is the distance from the axis of the cylinder. What is the magnitude of the electric field at a point 2.0 mm from the axis?

A) 1.4 N/C B) 1.6 N/C C) 1.8 N/C D) 2.0 N/C E) 5.4 N/C A) 1.4 N/C B) 1.6 N/C C) 1.8 N/C D) 2.0 N/C E) 5.4 N/C

Exam 24: Gausss Law

Charge of uniform density 4.0 nC/m is distributed along the x axis from x = −2.0 m to x = +3.0 m. What is the magnitude of the electric field at the point x = +5.0 m on the x axis?

(Multiple Choice)

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Question 41

A 12-nC charge is distributed uniformly along the y axis from y = 0 to y = 4 m. Which of the following integrals is correct for the x component of the electric field at x = 2 m on the x axis?

(Multiple Choice)

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Question 42

A long cylinder (radius = 3.0 cm) is filled with a nonconducting material which carries a uniform charge density of 1.3 μC/m³. Determine the electric flux through a spherical surface (radius = 2.0 cm) which has a point on the axis of the cylinder as its center.

(Multiple Choice)

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Question 43

Two planes of charge with no thickness, A and B, are parallel and vertical. The electric field in region I to the left of plane A has magnitude and points to the left. The electric field in the region to the right of B has magnitude and points to the right. The electric field in the region between the two planes has magnitude and points to the right. The surface charge density on planes A and B respectively is

(Multiple Choice)

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Question 44

An 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?

(Multiple Choice)

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Question 45

A long nonconducting cylinder (radius = 12 cm) has a charge of uniform density (5.0 nC/m³) distributed throughout its volume. Determine the magnitude of the electric field 15 cm from the axis of the cylinder.

(Multiple Choice)

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Question 46

A beam of electrons moves at velocity . The number of particles per unit volume in the beam of area A is ρ. If we imagine a cylindrical Gaussian surface of radius r and length centered on the beam, the electron flux through the surface is

(Multiple Choice)

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Question 47

Two infinite, uniformly charged, flat surfaces are mutually perpendicular. One of the sheets has a charge density of +60 pC/m², and the other carries a charge density of −80 pC/m². What is the magnitude of the electric field at any point not on either surface?

(Multiple Choice)

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Question 48

A rod (length = 2.0 m) is uniformly charged and has a total charge of 40 nC. What is the magnitude of the electric field at a point which lies along the axis of the rod and is 3.0 m from the center of the rod?

(Multiple Choice)

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Question 49

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.

(Multiple Choice)

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Question 50

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.

(Multiple Choice)

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Question 51

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.

(Multiple Choice)

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Question 52

Charge of a uniform density (8.0 nC/m²) is distributed over the entire xy plane. A charge of uniform density (5.0 nC/m²) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 1.0 m.

(Multiple Choice)

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Question 53

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?

(Multiple Choice)

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Question 54

A long nonconducting cylinder (radius = 6.0 mm) has a nonuniform volume charge density given by αr², where α = 6.2 mC/m⁵ and r is the distance from the axis of the cylinder. What is the magnitude of the electric field at a point 2.0 mm from the axis?

(Multiple Choice)

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Question 55

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

(Multiple Choice)

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Question 56

A constant electric field is present throughout a region of space that includes the plane bounded by the x and y axes and the lines x = 30 cm and y = 50 cm. The electric flux through the plane's surface, in N ⋅ m²/C, is

(Multiple Choice)

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Question 57

Charges q and Q are placed on the x axis at x = 0 and x = 2.0 m, respectively. If q = −40 pC and Q = +30 pC, determine the net flux through a spherical surface (radius = 1.0 m) centered on the origin.

(Multiple Choice)

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Question 58

A 24-nC charge is distributed uniformly along the x axis from x = 2 m to x = 6 m. Which of the following integrals is correct for the magnitude (in N/C) of the electric field at x = +8 m on the x axis?

(Multiple Choice)

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Question 59

A uniform linear charge of 2.0 nC/m is distributed along the x axis from x = 0 to x = 3 m. What is the x component of the electric field at y = 2 m on the y axis?

(Multiple Choice)

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Question 60

Showing 41 - 60 of 82

Exam 24: Gausss Law

Charge of uniform density 4.0 nC/m is distributed along the x axis from x = −2.0 m to x = +3.0 m. What is the magnitude of the electric field at the point x = +5.0 m on the x axis?

A 12-nC charge is distributed uniformly along the y axis from y = 0 to y = 4 m. Which of the following integrals is correct for the x component of the electric field at x = 2 m on the x axis?

A long cylinder (radius = 3.0 cm) is filled with a nonconducting material which carries a uniform charge density of 1.3 μC/m3. Determine the electric flux through a spherical surface (radius = 2.0 cm) which has a point on the axis of the cylinder as its center.

An 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?

A long nonconducting cylinder (radius = 12 cm) has a charge of uniform density (5.0 nC/m3) distributed throughout its volume. Determine the magnitude of the electric field 15 cm from the axis of the cylinder.

A beam of electrons moves at velocity . The number of particles per unit volume in the beam of area A is ρ. If we imagine a cylindrical Gaussian surface of radius r and length centered on the beam, the electron flux through the surface is

Two infinite, uniformly charged, flat surfaces are mutually perpendicular. One of the sheets has a charge density of +60 pC/m2, and the other carries a charge density of −80 pC/m2. What is the magnitude of the electric field at any point not on either surface?

A rod (length = 2.0 m) is uniformly charged and has a total charge of 40 nC. What is the magnitude of the electric field at a point which lies along the axis of the rod and is 3.0 m from the center of the rod?

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.

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 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 a uniform density (8.0 nC/m2) is distributed over the entire xy plane. A charge of uniform density (5.0 nC/m2) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 1.0 m.

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 long nonconducting cylinder (radius = 6.0 mm) has a nonuniform volume charge density given by αr2, where α = 6.2 mC/m5 and r is the distance from the axis of the cylinder. What is the magnitude of the electric field at a point 2.0 mm from the axis?

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

A constant electric field is present throughout a region of space that includes the plane bounded by the x and y axes and the lines x = 30 cm and y = 50 cm. The electric flux through the plane's surface, in N ⋅ m2/C, is

Charges q and Q are placed on the x axis at x = 0 and x = 2.0 m, respectively. If q = −40 pC and Q = +30 pC, determine the net flux through a spherical surface (radius = 1.0 m) centered on the origin.

A 24-nC charge is distributed uniformly along the x axis from x = 2 m to x = 6 m. Which of the following integrals is correct for the magnitude (in N/C) of the electric field at x = +8 m on the x axis?

A uniform linear charge of 2.0 nC/m is distributed along the x axis from x = 0 to x = 3 m. What is the x component of the electric field at y = 2 m on the y axis?

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A long cylinder (radius = 3.0 cm) is filled with a nonconducting material which carries a uniform charge density of 1.3 μC/m³. Determine the electric flux through a spherical surface (radius = 2.0 cm) which has a point on the axis of the cylinder as its center.

An 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?

A long nonconducting cylinder (radius = 12 cm) has a charge of uniform density (5.0 nC/m³) distributed throughout its volume. Determine the magnitude of the electric field 15 cm from the axis of the cylinder.

Two infinite, uniformly charged, flat surfaces are mutually perpendicular. One of the sheets has a charge density of +60 pC/m², and the other carries a charge density of −80 pC/m². What is the magnitude of the electric field at any point not on either surface?

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.

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.

Charge of a uniform density (8.0 nC/m²) is distributed over the entire xy plane. A charge of uniform density (5.0 nC/m²) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 1.0 m.

A long nonconducting cylinder (radius = 6.0 mm) has a nonuniform volume charge density given by αr², where α = 6.2 mC/m⁵ and r is the distance from the axis of the cylinder. What is the magnitude of the electric field at a point 2.0 mm from the axis?

A constant electric field is present throughout a region of space that includes the plane bounded by the x and y axes and the lines x = 30 cm and y = 50 cm. The electric flux through the plane's surface, in N ⋅ m²/C, is