Question 1

The electric field in the region of space shown is given by N/C where y is in m.What is the magnitude of the electric flux through the top face of the cube shown?

Accepted Answer

A) 90 N . m2/C 
B) 6.0 N.m2/C 
C) 54 N . m2/C 
D) 12 N . m2/C 
E) 126 N.m2/C 
A) 90 N . m2/C 
B) 6.0 N.m2/C 
C) 54 N . m2/C 
D) 12 N . m2/C 
E) 126 N.m2/C

Question 2

Two charges of 15 pC and -40 pC are inside a cube with sides that are of 0.40-m length.Determine the net electric flux through the surface of the cube.

Accepted Answer

A) +2.8 N . m2/C 
B) (-1.1 N . m2/
C)  
C) +1.1 N . m2/C 
D) (-2.8 N . m2/
C)  
E) (-0.47 N.m2/
C)  
A) +2.8 N . m2/C 
B) (-1.1 N . m2/
C)  
C) +1.1 N . m2/C 
D) (-2.8 N . m2/
C)  
E) (-0.47 N.m2/
C)

Question 3

Three infinite planes of charge, A, B and C, are vertical and parallel to one another.There is a uniform electric field to the left of plane A and a uniform electric field to the right of plane C.The field points to the left and the field points to the right.The signs of the charges on plates A, B and C may be:

Accepted Answer

A) (-, -, -.) 
B) +, -, -. 
C) +, -, +. 
D) +, +, +. 
E) any one of the above. 
A) (-, -, -.) 
B) +, -, -. 
C) +, -, +. 
D) +, +, +. 
E) any one of the above.

Question 4

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 4.0 cm from the centre of the two surfaces?

Accepted Answer

A) 3.8 N/C 
B) 4.1 N/C 
C) 3.5 N/C 
D) 3.2 N/C 
E) 0.28 N/C 
A) 3.8 N/C 
B) 4.1 N/C 
C) 3.5 N/C 
D) 3.2 N/C 
E) 0.28 N/C

Question 5

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 centred on the origin.Determine the electric flux through this surface.

Accepted Answer

A) 68 N . m2/C 
B) 62 N .m2/C 
C) 45 N . m2/C 
D) 79 N . m2/C 
E) 23 N . m2/C 
A) 68 N . m2/C 
B) 62 N .m2/C 
C) 45 N . m2/C 
D) 79 N . m2/C 
E) 23 N . m2/C

Question 6

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.

Accepted Answer

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

Question 7

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?

Accepted Answer

The answer of A Geiger counter is like an electroscope...

Question 8

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:

Accepted Answer

A)   
B) ,   
C)   
D)   
E) 2$\sigma$, $\sigma$. 
A)   
B) ,   
C)   
D)   
E) 2$\sigma$, $\sigma$.

Question 9

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

Accepted Answer

A) 25 N/C 
B) 20 N/C 
C) 14 N/C 
D) 31 N/C 
E) 34 N/C 
A) 25 N/C 
B) 20 N/C 
C) 14 N/C 
D) 31 N/C 
E) 34 N/C

Question 10

Gino says that the analogue of Gauss's law for the flow of an incompressible fluid of density $\rho$ at constant velocity is for an imaginary surface within the fluid.Lorenzo says that it is true only if the area where the fluid enters the surface and the area where it leaves the surface are both perpendicular to the velocity of the fluid.Which one, if either, is correct?

Accepted Answer

A) Gino, because as much fluid leaves as enters. 
B) Lorenzo, because is not equal to zero if the fluid enters or exits at angles other than 90$\degree$.   
C) Lorenzo, because this is true only when the fluid executes rotational motion. 
D) Gino, because it is true only when the fluid is enclosed on all sides, not when it is flowing. 
E) Lorenzo, because it is true only when the fluid is enclosed on all sides, not when it is flowing. 
A) Gino, because as much fluid leaves as enters. 
B) Lorenzo, because is not equal to zero if the fluid enters or exits at angles other than 90$\degree$.   
C) Lorenzo, because this is true only when the fluid executes rotational motion. 
D) Gino, because it is true only when the fluid is enclosed on all sides, not when it is flowing. 
E) Lorenzo, because it is true only when the fluid is enclosed on all sides, not when it is flowing.

Question 11

An uncharged spherical conducting shell surrounds a charge -q at the centre 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:

Accepted Answer

A) +q, -q. 
B) (-q, +q.) 
C) +q, +2q. 
D) +2q, +q. 
E) +3q, 0. 
A) +q, -q. 
B) (-q, +q.) 
C) +q, +2q. 
D) +2q, +q. 
E) +3q, 0.

Question 12

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?

Accepted Answer

A) 0.38 nC 
B) 0.76 nC 
C) 0.19 nC 
D) 0.57 nC 
E) 0.98 nC 
A) 0.38 nC 
B) 0.76 nC 
C) 0.19 nC 
D) 0.57 nC 
E) 0.98 nC

Question 13

A uniform electric field is present in the region between the infinite parallel planes of charge A and B, and a uniform electric field is present in the region between the infinite parallel planes of charge B and C.When the planes are vertical and the fields are both non-zero:

Accepted Answer

A) and are both directed to the right.     
B) and are both directed to the left.     
C) points to the right and to the left.     
D) points to the left and to the right.     
E) Any one of the above is possible. 
A) and are both directed to the right.     
B) and are both directed to the left.     
C) points to the right and to the left.     
D) points to the left and to the right.     
E) Any one of the above is possible.

Question 14

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?

Accepted Answer

A) ( $\pi$R2
E)  
B) 4 $\pi$R2E/3 
C) 2 $\pi$R2E/3 
D) ( $\pi$R2E/2) 
E) ( $\pi$R2E/3) 
A) ( $\pi$R2
E)  
B) 4 $\pi$R2E/3 
C) 2 $\pi$R2E/3 
D) ( $\pi$R2E/2) 
E) ( $\pi$R2E/3)

Question 15

If we define the gravitational field , where is a unit radial vector, then Gauss's Law for gravity is:

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

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.

Accepted Answer

A) 53 pC/m2 
B) 27 pC/m2 
C) 35 pC/m2 
D) 13 pC/m2 
E) 6.6 pC/m2 
A) 53 pC/m2 
B) 27 pC/m2 
C) 35 pC/m2 
D) 13 pC/m2 
E) 6.6 pC/m2

Question 17

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.

Accepted Answer

A) 36 N/C 
B) 29 N/C 
C) 43 N/C 
D) 50 N/C 
E) 58 N/C 
A) 36 N/C 
B) 29 N/C 
C) 43 N/C 
D) 50 N/C 
E) 58 N/C

Question 18

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 centred at the origin.The flux through this Gaussian surface is:

Accepted Answer

A) zero because the negative flux over one hemisphere is equal to the positive flux over the other. 
B) greater than zero. 
C) zero because at every point on the surface the electric field has no component perpendicular to the surface. 
D) zero because the electric field is zero at every point on the surface. 
E) none of the above. 
A) zero because the negative flux over one hemisphere is equal to the positive flux over the other. 
B) greater than zero. 
C) zero because at every point on the surface the electric field has no component perpendicular to the surface. 
D) zero because the electric field is zero at every point on the surface. 
E) none of the above.

Question 19

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?

Accepted Answer

A) Whitney, because that means no charge is enclosed within the Gaussian surface. 
B) Algie, because a constant electric field means that   
C) Both, because the conditions in (a) and (b) are equivalent. 
D) Neither, because the electric field can be found from Gauss's law only if holds only over a portion of the Gaussian surface.   
E) Neither, because the charge distribution must be symmetric if anywhere on the surface.   
A) Whitney, because that means no charge is enclosed within the Gaussian surface. 
B) Algie, because a constant electric field means that   
C) Both, because the conditions in (a) and (b) are equivalent. 
D) Neither, because the electric field can be found from Gauss's law only if holds only over a portion of the Gaussian surface.   
E) Neither, because the charge distribution must be symmetric if anywhere on the surface.

Question 20

Two infinite parallel surfaces carry uniform charge densities of 0.20 nC/m2 and -0.60 nC/m2.What is the magnitude of the electric field at a point between the two surfaces?

Accepted Answer

A) 34 N/C 
B) 23 N/C 
C) 45 N/C 
D) 17 N/C 
E) 90 N/C 
A) 34 N/C 
B) 23 N/C 
C) 45 N/C 
D) 17 N/C 
E) 90 N/C

The electric field in the region of space shown is given by N/C where y is in m.What is the magnitude of the electric flux through the top face of the cube shown?

Two charges of 15 pC and -40 pC are inside a cube with sides that are of 0.40-m length.Determine the net electric flux through the surface of the cube.

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 4.0 cm from the centre of the two surfaces?

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 centred on the origin.Determine the electric flux through this 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.

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

An uncharged spherical conducting shell surrounds a charge -q at the centre 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 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?

A uniform electric field is present in the region between the infinite parallel planes of charge A and B, and a uniform electric field is present in the region between the infinite parallel planes of charge B and C.When the planes are vertical and the fields are both non-zero:

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?

If we define the gravitational field , where is a unit radial vector, then Gauss's Law for gravity is:

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.

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 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 centred at the origin.The flux through this Gaussian surface is:

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?

Two infinite parallel surfaces carry uniform charge densities of 0.20 nC/m2 and -0.60 nC/m2.What is the magnitude of the electric field at a point between the two surfaces?

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Exam 2: Gausss Law

The electric field in the region of space shown is given by N/C where y is in m.What is the magnitude of the electric flux through the top face of the cube shown?

Two charges of 15 pC and -40 pC are inside a cube with sides that are of 0.40-m length.Determine the net electric flux through the surface of the cube.

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 4.0 cm from the centre of the two surfaces?

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 centred on the origin.Determine the electric flux through this 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.

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

An uncharged spherical conducting shell surrounds a charge -q at the centre 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 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?

A uniform electric field is present in the region between the infinite parallel planes of charge A and B, and a uniform electric field is present in the region between the infinite parallel planes of charge B and C.When the planes are vertical and the fields are both non-zero:

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?

If we define the gravitational field , where is a unit radial vector, then Gauss's Law for gravity is:

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.

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 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 centred at the origin.The flux through this Gaussian surface is:

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?

Two infinite parallel surfaces carry uniform charge densities of 0.20 nC/m2 and -0.60 nC/m2.What is the magnitude of the electric field at a point between the two surfaces?

Electric Fields

Electric Potential

Energy and Capacitance

Current and Resistance

Direct-Current Circuits

Magnetic Fields

Magnetic Forces

Faradays Law

Inductance

Alternating-Current Circuits

Electromagnetic Waves

The Nature of Light and the Principles of Ray Optics

Image Formation

Wave Optics

Diffraction Patterns and Polarisation

Quantisation and Wave-Particle Duality

Introduction to Quantum Mechanics

Atomic Physics

Quantum Physics of Molecules and Solids

Nuclei and Radioactivity

Particle Physics

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