A very large sheet of a conductor carries a uniform charge density of 4.00 pC/mm2 on its surfaces. What is the electric field strength 3.00 mm outside the surface of the conductor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

A) 4.52 × 105 N/C B) 2.26 × 105 N/C C) 9.04 × 105 N/C D) 0.452 N/C E) 0.226 N/C A) 4.52 × 105 N/C B) 2.26 × 105 N/C C) 9.04 × 105 N/C D) 0.452 N/C E) 0.226 N/C

An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 18.0 μC/ m3. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder. (ε0 = 8.85 × 10-12 C2/N ∙ m2)

A) 2.50 × 103 N/C B) 5.10 × 103 N/C C) zero D) 2.00 × 103 N/C E) 10.2 × 103 N/C A) 2.50 × 103 N/C B) 5.10 × 103 N/C C) zero D) 2.00 × 103 N/C E) 10.2 × 103 N/C

Exam 21: Gausss Law

Four dipoles, each consisting of a +10-µC charge and a -10-µC charge, are located in the xy-plane with their centers 1.0 mm from the origin, as shown. A sphere passes through the dipoles, as shown in the figure. What is the electric flux through the sphere due to these dipoles? (ε0 = 8.85 × 10^-12 C²/N ∙ m²)

(Multiple Choice)

4.9/5

(68)

Question 21

Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. To maximize the magnitude of the flux of the electric field through the Gaussian surface, the charge should be located

(Multiple Choice)

4.9/5

(79)

Question 22

If a rectangular area is rotated in a uniform electric field from the position where the maximum electric flux goes through it to an orientation where only half the flux goes through it, what has been the angle of rotation?

(Multiple Choice)

4.8/5

(74)

Question 23

A hollow conducting spherical shell has radii of 0.80 m and 1.20 m, as shown in the figure. The sphere carries a net excess charge of -500 nC. A point charge of +300 nC is present at the center. (k = 1/4πε0 = 8.99 × 10⁹ N ∙ m²/C) The radial component of the electric field at a point that is 0.60 m from the center is closest to

(Multiple Choice)

4.9/5

(89)

Question 24

A very large sheet of a conductor carries a uniform charge density of 4.00 pC/mm²on its surfaces. What is the electric field strength 3.00 mm outside the surface of the conductor? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

(Multiple Choice)

4.9/5

(76)

Question 25

The cube of insulating material shown in the figure has one corner at the origin. Each side of the cube has length 0.080 m so the top face of the cube is parallel to the xz-plane and is at y = 0.080 m. It is observed that there is an electric field that is in the +y direction and whose magnitude depends only on y. Use Gauss's law to calculate the net charge enclosed by the cube. (ε0 = 8.85 × 10^-12 C²/N ∙ m²)

(Short Answer)

5.0/5

(77)

Question 26

Two extremely large nonconducting horizontal sheets each carry uniform charge density on the surfaces facing each other. The upper sheet carries +5.00 µC/m². The electric field midway between the sheets is 4.25 × 10⁵ N/C pointing downward. What is the surface charge density on the lower sheet? (ε0 = 8.85 × 10^-12C²/N ∙ m²)

(Short Answer)

4.9/5

(84)

Question 27

The figure shows four Gaussian surfaces surrounding a distribtuion of charges. (a) Which Gaussian surfaces have an electric flux of +q/ε0 through them? (b) Which Gaussian surfaces have no electric flux through them?

(Short Answer)

5.0/5

(70)

Question 28

An uncharged conductor has a hollow cavity inside of it. Within this cavity there is a charge of +10 µC that does not touch the conductor. There are no other charges in the vicinity. Which statement about this conductor is true? (There may be more than one correct choice.)

(Multiple Choice)

5.0/5

(91)

Question 29

A nonuniform electric field is directed along the x-axis at all points in space. This magnitude of the field varies with x, but not with respect to y or z. The axis of a cylindrical surface, 0.80 m long and 0.20 m in diameter, is aligned parallel to the x-axis, as shown in the figure. The electric fields E₁ and E₂, at the ends of the cylindrical surface, have magnitudes of 9000 N/C and 5000 N/C respectively, and are directed as shown. (ε0 = 8.85 × 10^-12 C²/N ∙ m²) The charge enclosed by the cylindrical surface is closest to

(Multiple Choice)

4.9/5

(88)

Question 30

An irregular conductor carries a surface charge density of -6.75 µC/m² at and in the vicinity of a point P on the surface. An electron is released just above P outside the conductor. What are the magnitude and direction of its acceleration the instant after it is released? (ε0 = 8.85 × 10-¹²C²/N ∙ m², e = 1.60 × 10-19 C, ^mel = 9.11 × 10^-31kg)

(Short Answer)

4.8/5

(78)

Question 31

A nonuniform electric field is directed along the x-axis at all points in space. This magnitude of the field varies with x, but not with respect to y or z. The axis of a cylindrical surface, 0.80 m long and 0.20 m in diameter, is aligned parallel to the x-axis, as shown in the figure. The electric fields E₁ and E₂, at the ends of the cylindrical surface, have magnitudes of 6000 N/C and 1000 N/C respectively, and are directed as shown. What is the net electric flux passing through the cylindrical surface?

(Multiple Choice)

4.8/5

(77)

Question 32

If the electric flux through a closed surface is zero, the electric field at points on that surface must be zero.

(True/False)

4.8/5

(70)

Question 33

The cross section of a long coaxial cable is shown in the figure, with radii as given. The linear charge density on the inner conductor is -40 nC/m and the linear charge density on the outer conductor is -50 nC/m. The inner and outer cylindrical surfaces are respectively denoted by A, B, C, and D, as shown. (ε0 = 8.85 × 10^-12 C²/N ∙ m²) The magnitude of the electric field at a point that is 94 mm from the axis is closest to

(Multiple Choice)

4.9/5

(87)

Question 34

As shown in the figure, a square insulating slab 5.0 mm thick measuring 2.0 m × 2.0 m has a charge of 8.0 × 10^-11 C distributed uniformly throughout its volume. Use Gauss's law to determine the electric field at point P, which is located within the slab beneath its center, 1.0 mm from one of the faces. (ε0 = 8.85 × 10^-12C²/N ∙ m²)

(Multiple Choice)

4.8/5

(93)

Question 35

A solid nonconducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance r1 = R/4 from the center, the electric field has a magnitude E₀. What is the magnitude of the electric field at a radial distance r₂ = 2R?

(Multiple Choice)

4.8/5

(70)

Question 36

A charge Q is uniformly spread over one surface of a very large nonconducting square elastic sheet having sides of length d. At a point P that is 1.25 cm outside the sheet, the magnitude of the electric field due to the sheet is E. If the sheet is now stretched so that its sides have length 2d, what is the magnitude of the electric field at P?

(Multiple Choice)

4.7/5

(79)

Question 37

An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 18.0 μC/ m³. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder. (ε0 = 8.85 × 10^-12 C²/N ∙ m²)

(Multiple Choice)

4.8/5

(89)

Question 38

The cross section of a long coaxial cable is shown in the figure, with radii as given. The linear charge density on the inner conductor is -30 nC/m and the linear charge density on the outer conductor is -70 nC/m. The inner and outer cylindrical surfaces are respectively denoted by A, B, C, and D, as shown. (ε0 = 8.85 × 10^-12C²/N ∙ m²) The radial component of the electric field at a point that 34 mm from the axis is closest to

(Multiple Choice)

4.9/5

(73)

Question 39

Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. The electric field at a point P, which is 0.50 m from the center of the sphere, is 15,000 N/C and is directed radially outward. What is the maximum magnitude of the electric field due to this sphere?

(Multiple Choice)

4.8/5

(88)

Question 40

Showing 21 - 40 of 41

Exam 21: Gausss Law

Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. To maximize the magnitude of the flux of the electric field through the Gaussian surface, the charge should be located

If a rectangular area is rotated in a uniform electric field from the position where the maximum electric flux goes through it to an orientation where only half the flux goes through it, what has been the angle of rotation?

A very large sheet of a conductor carries a uniform charge density of 4.00 pC/mm2 on its surfaces. What is the electric field strength 3.00 mm outside the surface of the conductor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

The figure shows four Gaussian surfaces surrounding a distribtuion of charges. (a) Which Gaussian surfaces have an electric flux of +q/ε0 through them? (b) Which Gaussian surfaces have no electric flux through them?

An uncharged conductor has a hollow cavity inside of it. Within this cavity there is a charge of +10 µC that does not touch the conductor. There are no other charges in the vicinity. Which statement about this conductor is true? (There may be more than one correct choice.)

If the electric flux through a closed surface is zero, the electric field at points on that surface must be zero.

A solid nonconducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance r1 = R/4 from the center, the electric field has a magnitude E0. What is the magnitude of the electric field at a radial distance r2 = 2R?

An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 18.0 μC/ m3. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder. (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. The electric field at a point P, which is 0.50 m from the center of the sphere, is 15,000 N/C and is directed radially outward. What is the maximum magnitude of the electric field due to this sphere?

Units, Physical Quantities, and Vectors

Motion Along a Straight Line

Motion in Two or Three Dimensions

Newtons Laws of Motion

Applying Newtons Laws

Work and Kinetic Energy

Potential Energy and Energy Conservation

Momentum, Impulse, and Collisions

Rotation of Rigid Bodies

Equilibrium and Elasticity

Fluid Mechanics

Gravitation

Periodic Motion

Mechanical Waves

Sound and Hearing

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Electric Charge and Electric Field

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic Field

Electromagnetic Induction

Inductance

Alternating Current

Electromagnetic Waves

The Nature and Propagation of Light

Geometric Optics

Interference

Diffraction

Relativity

Photons: Light Waves Behaving As Particles

Particles Behaving As Waves

Quantum Mechanics

Atomic Structure

Molecules and Condensed Matter

Nuclear Physics

Particle Physics and Cosmology

Filters

A very large sheet of a conductor carries a uniform charge density of 4.00 pC/mm²on its surfaces. What is the electric field strength 3.00 mm outside the surface of the conductor? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

A solid nonconducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance r1 = R/4 from the center, the electric field has a magnitude E₀. What is the magnitude of the electric field at a radial distance r₂ = 2R?

An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 18.0 μC/ m³. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder. (ε0 = 8.85 × 10^-12 C²/N ∙ m²)