Charge of a uniform density (8.0 nC/m2) is distributed over the entire xy plane. A charge of uniform density (3.0 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 = 3.0 m.

A) 0.79 kN/C B) 0.17 kN/C C) 0.62 kN/C D) 0.34 kN/C E) 0.28 kN/C A) 0.79 kN/C B) 0.17 kN/C C) 0.62 kN/C D) 0.34 kN/C E) 0.28 kN/C

Exam 24: Gausss Law

When a cube is inscribed in a sphere of radius r, the length L of a side of the cube is . If a positive point charge Q is placed at the center of the spherical surface, the ratio of the electric flux Φ_sphere at the spherical surface to the flux Φ_cube at the surface of the cube is

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Question 21

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 center. What is the electric flux through that part of the spherical surface for which z > 0?

(Multiple Choice)

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Question 22

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

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Question 23

Charge of uniform surface density (4.0 nC/m²) is distributed on a spherical surface (radius = 2.0 cm). What is the total electric flux through a concentric spherical surface with a radius of 4.0 cm?

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Question 24

A 16-nC charge is distributed uniformly along the x axis from x = 0 to x = 4 m. Which of the following integrals is correct for the magnitude (in N/C) of the electric field at x = +10 m on the x axis?

(Multiple Choice)

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Question 25

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 4.0 cm from the symmetry axis of the two surfaces.

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Question 26

A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm) surface centered on the origin. Determine the electric flux through this surface.

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Question 27

Each 2.0-m length of a long cylinder (radius = 4.0 mm) has a charge of 4.0 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point 5.0 mm from the axis of the cylinder?

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Question 28

A charge (uniform linear density = 9.0 nC/m) is distributed along the x axis from x = 0 to x = 3.0 m. Determine the magnitude of the electric field at a point on the x axis with x = 4.0 m.

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Question 29

A long cylindrical shell (radius = 2.0 cm) has a charge uniformly distributed on its surface. If the magnitude of the electric field at a point 8.0 cm radially outward from the axis of the shell is 85 N/C, how much charge is distributed on a 2.0-m length of the charged cylindrical surface?

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Question 30

Charge of a uniform density (8.0 nC/m²) is distributed over the entire xy plane. A charge of uniform density (3.0 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 = 3.0 m.

(Multiple Choice)

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Question 31

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 2.0 cm from the center of the two surfaces?

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Question 32

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.

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Question 33

The electric flux through the two adjacent spherical surfaces shown below is known to be the same. It is also known that there is no charge inside either spherical surface. We can conclude that

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Question 34

An uncharged spherical conducting shell surrounds a charge −q at the center of the shell. Then charge +3q is placed on the outside of the shell. When static equilibrium is reached, the charges on the inner and outer surfaces of the shell are respectively

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Question 35

A charge of uniform volume density (40 nC/m³) fills a cube with 8.0-cm edges. What is the total electric flux through the surface of this cube?

(Multiple Choice)

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Question 36

A uniformly charged rod (length = 2.0 m, charge per unit length = 5.0 nC/m) is bent to form one quadrant of a circle. What is the magnitude of the electric field at the center of the circle?

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Question 37

Two planes of charge with no thickness, A and B, are parallel and vertical. The electric field in the region between the two planes has magnitude . The electric field in the region to the left of A and the electric field in the region to the right of B may have the magnitudes

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Question 38

Charge of uniform linear density (4.0 nC/m) is distributed along the entire x axis. Determine the magnitude of the electric field on the y axis at y = 2.5 m.

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Question 39

The nucleus of lead-208, , has 82 protons within a sphere of radius 6.34 × 10−¹⁵. Each electric charge has a value of 1.60 × 10−¹⁹ C. Assuming that the protons create a spherically symmetric distribution of charge, calculate the electric field at the surface of the nucleus.

(Short Answer)

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Question 40

Showing 21 - 40 of 82

Exam 24: Gausss Law

When a cube is inscribed in a sphere of radius r, the length L of a side of the cube is . If a positive point charge Q is placed at the center of the spherical surface, the ratio of the electric flux Φsphere at the spherical surface to the flux Φcube at the surface of the cube 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 center. What is the electric flux through that part of the spherical surface for which z > 0?

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

Charge of uniform surface density (4.0 nC/m2) is distributed on a spherical surface (radius = 2.0 cm). What is the total electric flux through a concentric spherical surface with a radius of 4.0 cm?

A 16-nC charge is distributed uniformly along the x axis from x = 0 to x = 4 m. Which of the following integrals is correct for the magnitude (in N/C) of the electric field at x = +10 m on the x axis?

A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm) surface centered on the origin. Determine the electric flux through this surface.

Each 2.0-m length of a long cylinder (radius = 4.0 mm) has a charge of 4.0 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point 5.0 mm from the axis of the cylinder?

A charge (uniform linear density = 9.0 nC/m) is distributed along the x axis from x = 0 to x = 3.0 m. Determine the magnitude of the electric field at a point on the x axis with x = 4.0 m.

A long cylindrical shell (radius = 2.0 cm) has a charge uniformly distributed on its surface. If the magnitude of the electric field at a point 8.0 cm radially outward from the axis of the shell is 85 N/C, how much charge is distributed on a 2.0-m length of the charged cylindrical surface?

Charge of a uniform density (8.0 nC/m2) is distributed over the entire xy plane. A charge of uniform density (3.0 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 = 3.0 m.

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 2.0 cm from the center of the two surfaces?

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.

The electric flux through the two adjacent spherical surfaces shown below is known to be the same. It is also known that there is no charge inside either spherical surface. We can conclude that

An uncharged spherical conducting shell surrounds a charge −q at the center of the shell. Then charge +3q is placed on the outside of the shell. When static equilibrium is reached, the charges on the inner and outer surfaces of the shell are respectively

A charge of uniform volume density (40 nC/m3) fills a cube with 8.0-cm edges. What is the total electric flux through the surface of this cube?

A uniformly charged rod (length = 2.0 m, charge per unit length = 5.0 nC/m) is bent to form one quadrant of a circle. What is the magnitude of the electric field at the center of the circle?

Two planes of charge with no thickness, A and B, are parallel and vertical. The electric field in the region between the two planes has magnitude . The electric field in the region to the left of A and the electric field in the region to the right of B may have the magnitudes

Charge of uniform linear density (4.0 nC/m) is distributed along the entire x axis. Determine the magnitude of the electric field on the y axis at y = 2.5 m.

The nucleus of lead-208, , has 82 protons within a sphere of radius 6.34 × 10−15. Each electric charge has a value of 1.60 × 10−19 C. Assuming that the protons create a spherically symmetric distribution of charge, calculate the electric field at the surface of the nucleus.

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When a cube is inscribed in a sphere of radius r, the length L of a side of the cube is . If a positive point charge Q is placed at the center of the spherical surface, the ratio of the electric flux Φ_sphere at the spherical surface to the flux Φ_cube at the surface of the cube 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 center. What is the electric flux through that part of the spherical surface for which z > 0?

Charge of uniform surface density (4.0 nC/m²) is distributed on a spherical surface (radius = 2.0 cm). What is the total electric flux through a concentric spherical surface with a radius of 4.0 cm?

Charge of a uniform density (8.0 nC/m²) is distributed over the entire xy plane. A charge of uniform density (3.0 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 = 3.0 m.

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.

A charge of uniform volume density (40 nC/m³) fills a cube with 8.0-cm edges. What is the total electric flux through the surface of this cube?

The nucleus of lead-208, , has 82 protons within a sphere of radius 6.34 × 10−¹⁵. Each electric charge has a value of 1.60 × 10−¹⁹ C. Assuming that the protons create a spherically symmetric distribution of charge, calculate the electric field at the surface of the nucleus.