Question 1

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.

Accepted Answer

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

Question 2

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?

Accepted Answer

A) 90 N. m2/C 
B) 15 N .m2/C 
C) 45 N . m2/C 
D) 23 N . m2/C 
E) 64 N . m2/C

Question 3

A charge of 80 nC is uniformly distributed along the x axis from x = 0 to x = 2.0 m.Determine the magnitude of the electric field at a point on the x axis with x = 8.0 m.

Accepted Answer

A) 30 N/C 
B) 15 N/C 
C) 48 N/C 
D) 90 N/C 
E) 60 N/C

Question 4

An uncharged metal sphere is placed on an insulating puck on a frictionless table.While being held parallel to the table,a rod with a charge q is brought close to the sphere,but does not touch it.As the rod is brought in,the sphere

Accepted Answer

A) remains at rest. 
B) moves toward the rod. 
C) moves away from the rod. 
D) moves perpendicular to the velocity vector of the rod. 
E) moves upward off the puck.

Question 5

Charge of uniform density (80 nC/m3)is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.0 mm and 3.0 mm.Determine the magnitude of the electric field at a point which is 4.0 mm from the symmetry axis.

Accepted Answer

A) 7.9 N/C 
B) 10 N/C 
C) 9.0 N/C 
D) 8.9 N/C 
E) 17 N/C

Question 6

A negatively charged particle is moving in the +x-direction when it enters a region with a uniform electric field pointing in the +x-direction.Which graph gives its position as a function of time correctly? (Its initial position is x = 0 at t = 0. )

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

A point charge Q is placed on the x axis at x = 2.0 m.A second point charge,-Q,is placed at x = 3.0 m.If Q = 40 $\mu$C,what is the magnitude of the electrostatic force on a 30-$\mu$C charge placed at the origin?

Accepted Answer

A) 7.2 N 
B) 3.9 N 
C) 1.5 N 
D) 14 N 
E) 8.1 N

Question 8

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

Question 9

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?

Accepted Answer

A) 2.9 N . m2/C 
B) 2.0 N . m2/C 
C) 2.6 N .m2/C 
D) 2.3 N . m2/C 
E) 1.8 N . m2/C

Question 10

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?

Accepted Answer

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

Question 11

Three identical point charges Q are placed at the vertices of an equilateral triangle (length of each side = 2.0 m).If Q = 60 $\mu$C,what is the magnitude of the electrostatic force on any one of the charges?

Accepted Answer

A) 25 N 
B) 19 N 
C) 14 N 
D) 22 N 
E) 16 N

Question 12

Whitney says that Gauss's Law can be used to find the electric field of a sufficiently symmetrical distribution of charge as long as $\overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0$ 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 $\oint \overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0$ . 
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 $\overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0$ holds only over a portion of the Gaussian surface. 
E) Neither,because the charge distribution must be symmetric if $\overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0$ anywhere on the surface.

Question 13

A +2.0-nC point charge is placed at one corner of a square (1.5 m on a side),and a -3.0-nC charge is placed on a corner diagonally away from the first charge.What is the magnitude of the electric field at either of the two unoccupied corners?

Accepted Answer

A) 20 N/C 
B) 14 N/C 
C) 4.0 N/C 
D) 12 N/C 
E) 8.0 N/C

Question 14

If a = 60 cm,b = 80 cm,Q = -6.0 nC,and q = 3.0 nC in the figure,what is the magnitude of the electric field at point P?

Accepted Answer

A) 71 N/C 
B) 56 N/C 
C) 60 N/C 
D) 53 N/C 
E) 67 N/C

Question 15

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.

Accepted Answer

A) 30 N/C 
B) 50 N/C 
C) 40 N/C 
D) 20 N/C 
E) 70 N/C

Question 16

In a diagram of charges and electric field lines charge $Q _ { 1 }$ has twelve field lines going outward from it and charge $Q _ { 2 }$ has three field lines going into it.If one of the charges is 100 nC,what is the other one?

Accepted Answer

A) 25 nC 
B) 100 nC 
C) -25 nC 
D) -100 nC 
E) Both answers b and c can be correct.

Question 17

The electric field in the region of space shown is given by $$\overrightarrow { \mathbf { E } } = ( 8 \tilde { \mathbf { i } } + 2 \hat { \mathbf { j } } )$$ 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

Question 18

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

Accepted Answer

A) there is no electric field present in this region of space. 
B) there is a constant E field present in this region of space. 
C) the electric flux has a constant value of zero. 
D) any of the above may be correct. 
E) only (a)and (b)above may be correct.

Question 19

Three point charges are positioned on the x axis.If the charges and corresponding positions are +32 $\mu$C at x = 0,+20 $\mu$C at x = 40 cm,and -60 $\mu$C at x = 60 cm,what is the magnitude of the electrostatic force on the +32-$\mu$C charge?

Accepted Answer

A) 84 N 
B) 12 N 
C) 36 N 
D) 50 N 
E) 48 N

Question 20

The nucleus of lead-208, ${ } _ { 82 } ^ { 208 } \mathrm {~Pb}$ ,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.

Accepted Answer

The answer of The nucleus of lead-208, \({ } _...

Exam 19: Electric Forces and Electric Fields

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 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 charge of 80 nC is uniformly distributed along the x axis from x = 0 to x = 2.0 m.Determine the magnitude of the electric field at a point on the x axis with x = 8.0 m.

An uncharged metal sphere is placed on an insulating puck on a frictionless table.While being held parallel to the table,a rod with a charge q is brought close to the sphere,but does not touch it.As the rod is brought in,the sphere

Charge of uniform density (80 nC/m³) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.0 mm and 3.0 mm.Determine the magnitude of the electric field at a point which is 4.0 mm from the symmetry axis.

A negatively charged particle is moving in the +x-direction when it enters a region with a uniform electric field pointing in the +x-direction.Which graph gives its position as a function of time correctly? (Its initial position is x = 0 at t = 0. )

A point charge Q is placed on the x axis at x = 2.0 m.A second point charge,-Q,is placed at x = 3.0 m.If Q = 40 $\mu$ C,what is the magnitude of the electrostatic force on a 30- $\mu$ C charge placed at the origin?

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?

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?

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?

Three identical point charges Q are placed at the vertices of an equilateral triangle (length of each side = 2.0 m) .If Q = 60 $\mu$ C,what is the magnitude of the electrostatic force on any one of the charges?

A +2.0-nC point charge is placed at one corner of a square (1.5 m on a side) ,and a -3.0-nC charge is placed on a corner diagonally away from the first charge.What is the magnitude of the electric field at either of the two unoccupied corners?

If a = 60 cm,b = 80 cm,Q = -6.0 nC,and q = 3.0 nC in the figure,what is the magnitude of the electric field at point P?

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.

In a diagram of charges and electric field lines charge $Q _ { 1 }$ has twelve field lines going outward from it and charge $Q _ { 2 }$ has three field lines going into it.If one of the charges is 100 nC,what is the other one?

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

Three point charges are positioned on the x axis.If the charges and corresponding positions are +32 $\mu$ C at x = 0,+20 $\mu$ C at x = 40 cm,and -60 $\mu$ C at x = 60 cm,what is the magnitude of the electrostatic force on the +32- $\mu$ C charge?

Exam 19: Electric Forces and Electric Fields

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 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 charge of 80 nC is uniformly distributed along the x axis from x = 0 to x = 2.0 m.Determine the magnitude of the electric field at a point on the x axis with x = 8.0 m.

An uncharged metal sphere is placed on an insulating puck on a frictionless table.While being held parallel to the table,a rod with a charge q is brought close to the sphere,but does not touch it.As the rod is brought in,the sphere

Charge of uniform density (80 nC/m3) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.0 mm and 3.0 mm.Determine the magnitude of the electric field at a point which is 4.0 mm from the symmetry axis.

A negatively charged particle is moving in the +x-direction when it enters a region with a uniform electric field pointing in the +x-direction.Which graph gives its position as a function of time correctly? (Its initial position is x = 0 at t = 0. )

A point charge Q is placed on the x axis at x = 2.0 m.A second point charge,-Q,is placed at x = 3.0 m.If Q = 40 μ\muμ C,what is the magnitude of the electrostatic force on a 30- μ\muμ C charge placed at the origin?

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?

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?

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?

Three identical point charges Q are placed at the vertices of an equilateral triangle (length of each side = 2.0 m) .If Q = 60 μ\muμ C,what is the magnitude of the electrostatic force on any one of the charges?

A +2.0-nC point charge is placed at one corner of a square (1.5 m on a side) ,and a -3.0-nC charge is placed on a corner diagonally away from the first charge.What is the magnitude of the electric field at either of the two unoccupied corners?

If a = 60 cm,b = 80 cm,Q = -6.0 nC,and q = 3.0 nC in the figure,what is the magnitude of the electric field at point P?

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.

In a diagram of charges and electric field lines charge Q1Q _ { 1 }Q1​ has twelve field lines going outward from it and charge Q2Q _ { 2 }Q2​ has three field lines going into it.If one of the charges is 100 nC,what is the other one?

The electric field in the region of space shown is given by E→=(8i~+2j^) \overrightarrow { \mathbf { E } } = ( 8 \tilde { \mathbf { i } } + 2 \hat { \mathbf { j } } ) E=(8i~+2j^​) N/C where y is in m.What is the magnitude of the electric flux through the top face of the cube shown?

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

Three point charges are positioned on the x axis.If the charges and corresponding positions are +32 μ\muμ C at x = 0,+20 μ\muμ C at x = 40 cm,and -60 μ\muμ C at x = 60 cm,what is the magnitude of the electrostatic force on the +32- μ\muμ C charge?

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.

Charge of uniform density (80 nC/m³) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.0 mm and 3.0 mm.Determine the magnitude of the electric field at a point which is 4.0 mm from the symmetry axis.

A point charge Q is placed on the x axis at x = 2.0 m.A second point charge,-Q,is placed at x = 3.0 m.If Q = 40 $\mu$ C,what is the magnitude of the electrostatic force on a 30- $\mu$ C charge placed at the origin?

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?

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?

Three identical point charges Q are placed at the vertices of an equilateral triangle (length of each side = 2.0 m) .If Q = 60 $\mu$ C,what is the magnitude of the electrostatic force on any one of the charges?

In a diagram of charges and electric field lines charge $Q _ { 1 }$ has twelve field lines going outward from it and charge $Q _ { 2 }$ has three field lines going into it.If one of the charges is 100 nC,what is the other one?

Three point charges are positioned on the x axis.If the charges and corresponding positions are +32 $\mu$ C at x = 0,+20 $\mu$ C at x = 40 cm,and -60 $\mu$ C at x = 60 cm,what is the magnitude of the electrostatic force on the +32- $\mu$ C charge?