Question 1

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 2

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?

Accepted Answer

A) A;negative. 
B) A;positive. 
C) B;negative. 
D) B;positive. 
E) C;negative.

Question 3

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

Question 4

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.

Accepted Answer

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

Question 5

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.

Accepted Answer

A) 5.4 N/C 
B) 7.2 N/C 
C) 4.3 N/C 
D) 3.6 N/C 
E) 2.4 N/C

Question 6

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?

Accepted Answer

A) 2.8 N ⋅ m2/C 
B) 1.7 N ⋅ m2/C 
C) 2.3 N ⋅ m2/C 
D) 4.0 N ⋅ m2/C 
E) 9.1 N ⋅ m2/C

Question 7

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.

Question 8

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.

Accepted Answer

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

Question 9

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?

Accepted Answer

A) 24 N/C 
B) 18 N/C 
C) zero 
D) 36 N/C 
E) 226 N/C

Question 10

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

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.

Question 11

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?

Accepted Answer

A) 24 N ⋅ m2/C 
B) 48 N ⋅ m2/C 
C) 0.24 N ⋅ m2/C 
D) 0.48 N ⋅ m2/C 
E) 0

Question 12

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?

Accepted Answer

A) The negative charge remains on the metal sphere. 
B) The negative charge spreads over the outside surface of the bucket and cover. 
C) The negative charge spreads over the inside surface of the bucket and cover. 
D) The negative charge spreads equally over the inside and outside surfaces of the bucket and cover. 
E) The negative charge spreads equally over the sphere and the inside and outside surfaces of the bucket and cover.

Question 13

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

Accepted Answer

A) never true. 
B) never false. 
C) true whenever enclosed charge is symmetrically located at a center point,on a center line,or on a centrally placed plane. 
D) true whenever no charge is enclosed within the Gaussian surface. 
E) true only when no charge is enclosed within the Gaussian surface.

Question 14

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

Question 15

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

Question 16

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) πR2E 
B) 4πR2E/3 
C) 2πR2E/3 
D) πR2E/2 
E) πR2E/3

Question 17

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 18

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.

Accepted Answer

A) 0.45 kN/C 
B) 1.0 kN/C 
C) 0.73 kN/C 
D) 0.56 kN/C 
E) 2.3 kN/C

Question 19

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

Accepted Answer

A) 0,0. 
B)   ,  . 
C)   ,  . 
D) given in any answer above. 
E) given only in answer (a)or (b)above.

Question 20

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

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?

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?

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?

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?

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.