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

A long straight metal rod has a radius of 2.0 mm and a surface charge of density 0.40 nC/m2.Determine the magnitude of the electric field 3.0 mm from the axis.

A) 18 N/C B) 23 N/C C) 30 N/C D) 15 N/C E) 60 N/C A) 18 N/C B) 23 N/C C) 30 N/C D) 15 N/C E) 60 N/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

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

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.

(Multiple Choice)

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Question 61

A positive point charge q is placed off center inside an uncharged metal sphere insulated from the ground as shown.Where is the induced charge density greatest in magnitude and what is its sign?

(Multiple Choice)

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Question 62

If the electric field just outside a thin conducting sheet is equal to 1.5 N/C,determine the surface charge density on the conductor.

(Multiple Choice)

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Question 63

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 64

The axis of a long hollow metallic cylinder (inner radius = 1.0 cm,outer radius = 2.0 cm)coincides with a long wire.The wire has a linear charge density of −8.0 pC/m,and the cylinder has a net charge per unit length of −4.0 pC/m.Determine the magnitude of the electric field 3.0 cm from the axis.

(Multiple Choice)

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Question 65

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?

(Multiple Choice)

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Question 66

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?

(Multiple Choice)

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Question 67

A long straight metal rod has a radius of 2.0 mm and a surface charge of density 0.40 nC/m².Determine the magnitude of the electric field 3.0 mm from the axis.

(Multiple Choice)

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Question 68

A long cylindrical conductor (radius = 1.0 mm)carries a charge density of 4.0 pC/m and is inside a coaxial,hollow,cylindrical conductor (inner radius = 3.0 mm,outer radius = 4.0 mm)that has a total charge of −8.0 pC/m.What is the magnitude of the electric field 2.0 mm from the axis of these conductors?

(Multiple Choice)

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Question 69

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

(Multiple Choice)

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Question 70

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 71

A small metal sphere is suspended from the conducting cover of a conducting metal ice bucket by a non-conducting thread.The sphere is given a negative charge before the cover is placed on the bucket.The bucket is tilted by means of a non-conducting material so that the charged sphere touches the inside of the bucket.Which statement is correct?

(Multiple Choice)

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Question 72

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

(Multiple Choice)

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Question 73

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 74

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.

(Multiple Choice)

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Question 75

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?

(Multiple Choice)

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Question 76

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?

(Short Answer)

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Question 77

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.

(Multiple Choice)

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Question 78

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

(Multiple Choice)

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Question 79

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?

(Multiple Choice)

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Question 80

Showing 61 - 80 of 80

Exam 24: Gausss Law

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.

A positive point charge q is placed off center inside an uncharged metal sphere insulated from the ground as shown.Where is the induced charge density greatest in magnitude and what is its sign?

If the electric field just outside a thin conducting sheet is equal to 1.5 N/C,determine the surface charge density on the conductor.

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.

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?

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?

A long straight metal rod has a radius of 2.0 mm and a surface charge of density 0.40 nC/m2.Determine the magnitude of the electric field 3.0 mm from the axis.

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

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 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 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 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.

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?

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.

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

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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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.

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 long straight metal rod has a radius of 2.0 mm and a surface charge of density 0.40 nC/m².Determine the magnitude of the electric field 3.0 mm from the axis.

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?

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 (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.