Question 1

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 D

Question 2

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 B

Question 3

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 D

Question 4

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 
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 5

A particle (q = 4.0 mC,m = 50 g)has a velocity of 25 m/s in the positive x direction when it first enters a region where the electric field is uniform (60 N/C in the positive y direction).What is the speed of the particle 5.0 s after it enters this region?

Accepted Answer

A) 49 m/s 
B) 35 m/s 
C) 32 m/s 
D) 44 m/s 
E) 24 m/s 
A) 49 m/s 
B) 35 m/s 
C) 32 m/s 
D) 44 m/s 
E) 24 m/s

Question 6

Charges q and Q are placed on the x axis at x = 0 and x = 2.0 m,respectively.If q = -40 pC and Q = +30 pC,determine the net flux through a spherical surface (radius = 1.0 m)centered on the origin.

Accepted Answer

A) -9.6 N . m2/C 
B) -6.8 N . m2/C 
C) -8.5 N .m2/C 
D) -4.5 N.m2/C 
E) -1.1 N .m2/C 
A) -9.6 N . m2/C 
B) -6.8 N . m2/C 
C) -8.5 N .m2/C 
D) -4.5 N.m2/C 
E) -1.1 N .m2/C

Question 7

An uncharged spherical conducting shell surrounds a charge -q at the center 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 8

A particle (m = 50 g,q = 5.0 $\mu$C)is released from rest when it is 50 cm from a second particle (Q = -20 $\mu$C).Determine the magnitude of the initial acceleration of the 50-g particle.

Accepted Answer

A) 54 m/s2 
B) 90 m/s2 
C) 72 m/s2 
D) 65 m/s2 
E) 36 m/s2 
A) 54 m/s2 
B) 90 m/s2 
C) 72 m/s2 
D) 65 m/s2 
E) 36 m/s2

Question 9

If Q = 16 nC,a = 3.0 m,and b = 4.0 m,what is the magnitude of the electric field at point P?

Accepted Answer

A) 33 N/C 
B) 31 N/C 
C) 24 N/C 
D) 19 N/C 
E) 13 N/C 
A) 33 N/C 
B) 31 N/C 
C) 24 N/C 
D) 19 N/C 
E) 13 N/C

Question 10

Each of two small non-conducting spheres is charged positively,the combined charge being 40 $\mu$C.When the two spheres are 50 cm apart,each sphere is repelled from the other by a force of magnitude 2.0 N.Determine the magnitude of the smaller of the two charges.

Accepted Answer

A) 1.4 $\mu$C 
B) 1.1 $\mu$C 
C) 2.0 $\mu$C 
D) 3.3 $\mu$C 
E) 17 $\mu$C 
A) 1.4 $\mu$C 
B) 1.1 $\mu$C 
C) 2.0 $\mu$C 
D) 3.3 $\mu$C 
E) 17 $\mu$C

Question 11

A particle (mass = 5.0 g,charge = 40 mC)moves in a region of space where the electric field is uniform and is given by Ex = -5.5 N/C,Ey = Ez = 0.If the position and velocity of the particle at t = 0 are given by x = y = z = 0 and vx = 50 m/s,vy = vz = 0,what is the distance from the origin to the particle at t = 2.0 s?

Accepted Answer

A) 60 m 
B) 28 m 
C) 44 m 
D) 12 m 
E) 88 m 
A) 60 m 
B) 28 m 
C) 44 m 
D) 12 m 
E) 88 m

Question 12

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 13

A point charge Q is placed on the x axis at the origin.An identical point charge is placed on the x axis at x = -1.0 m and another at x = +1.0 m.If Q = 40 $\mu$C,what is the magnitude of the electrostatic force on the charge at x = +1.0 m?

Accepted Answer

A) 29 N 
B) 14 N 
C) 11 N 
D) 18 N 
E) 7.0 N 
A) 29 N 
B) 14 N 
C) 11 N 
D) 18 N 
E) 7.0 N

Question 14

A uniformly charged rod (length = 2.0 m,charge per unit length = 5.0 nC/m)is bent to form one quadrant of a circle.What is the magnitude of the electric field at the center of the circle?

Accepted Answer

A) 62 N/C 
B) 56 N/C 
C) 50 N/C 
D) 44 N/C 
E) 25 N/C 
A) 62 N/C 
B) 56 N/C 
C) 50 N/C 
D) 44 N/C 
E) 25 N/C

Question 15

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

Question 16

An alpha particle (charge = +2e)is sent at high speed toward a gold nucleus (charge +79e).What is the electrical force acting on the alpha particle when it is at a distance of 2 *10 - 14 m away from the gold nucleus? (e = 1.6 *10 - 19 C)

Accepted Answer

The answer of An alpha particle (charge = +2e)is sent...

Question 17

A uniform electric field $\overrightarrow { \mathbf { E } } _ { \mathrm { I } }$ is present in the region between infinite parallel plane plates A and B and a uniform electric field $\overrightarrow { \mathbf { E } } _ { \text {II } }$ is present in the region between infinite parallel plane plates B and C.When the plates are vertical, $\overrightarrow { \mathbf { E } } _ { \mathrm { I } }$ is directed to the right and $\overrightarrow { \mathbf { E } } _ { \text {II } }$ to the left.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 18

If a = 3.0 mm,b = 4.0 mm,Q1 = 60 nC,Q2 = 80 nC,and q = 24 nC in the figure,what is the magnitude of the electric force on q?

Accepted Answer

A) 2.7 N 
B) 1.9 N 
C) 2.3 N 
D) 1.5 N 
E) 0.52 N 
A) 2.7 N 
B) 1.9 N 
C) 2.3 N 
D) 1.5 N 
E) 0.52 N

Question 19

Charge of a uniform density (8.0 nC/m2)is distributed over the entire xy plane.A charge of uniform density (5.0 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 = 1.0 m.

Accepted Answer

A) 0.45 kN/C 
B) 0.17 kN/C 
C) 0.28 kN/C 
D) 0.73 kN/C 
E) 0.62 kN/C 
A) 0.45 kN/C 
B) 0.17 kN/C 
C) 0.28 kN/C 
D) 0.73 kN/C 
E) 0.62 kN/C

Question 20

A charge of 25 nC is uniformly distributed along a circular arc (radius = 2.0 m)that is subtended by a 90-degree angle.What is the magnitude of the electric field at the center of the circle along which the arc lies?

Accepted Answer

A) 81 N/C 
B) 61 N/C 
C) 71 N/C 
D) 51 N/C 
E) 25 N/C 
A) 81 N/C 
B) 61 N/C 
C) 71 N/C 
D) 51 N/C 
E) 25 N/C

Exam 19: Electric Forces and Electric Fields

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 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?

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 (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.

A particle (q = 4.0 mC,m = 50 g)has a velocity of 25 m/s in the positive x direction when it first enters a region where the electric field is uniform (60 N/C in the positive y direction).What is the speed of the particle 5.0 s after it enters this region?

Charges q and Q are placed on the x axis at x = 0 and x = 2.0 m,respectively.If q = -40 pC and Q = +30 pC,determine the net flux through a spherical surface (radius = 1.0 m)centered on the origin.

An uncharged spherical conducting shell surrounds a charge -q at the center 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 particle (m = 50 g,q = 5.0 μ\muμ C)is released from rest when it is 50 cm from a second particle (Q = -20 μ\muμ C).Determine the magnitude of the initial acceleration of the 50-g particle.

If Q = 16 nC,a = 3.0 m,and b = 4.0 m,what is the magnitude of the electric field at point P?

Each of two small non-conducting spheres is charged positively,the combined charge being 40 μ\muμ C.When the two spheres are 50 cm apart,each sphere is repelled from the other by a force of magnitude 2.0 N.Determine the magnitude of the smaller of the two charges.

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 point charge Q is placed on the x axis at the origin.An identical point charge is placed on the x axis at x = -1.0 m and another at x = +1.0 m.If Q = 40 μ\muμ C,what is the magnitude of the electrostatic force on the charge at x = +1.0 m?

A uniformly charged rod (length = 2.0 m,charge per unit length = 5.0 nC/m)is bent to form one quadrant of a circle.What is the magnitude of the electric field at the center of the circle?

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?

An alpha particle (charge = +2e)is sent at high speed toward a gold nucleus (charge +79e).What is the electrical force acting on the alpha particle when it is at a distance of 2 *10 - 14 m away from the gold nucleus? (e = 1.6 *10 - 19 C)

If a = 3.0 mm,b = 4.0 mm,Q1 = 60 nC,Q2 = 80 nC,and q = 24 nC in the figure,what is the magnitude of the electric force on q?

Charge of a uniform density (8.0 nC/m2)is distributed over the entire xy plane.A charge of uniform density (5.0 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 = 1.0 m.

A charge of 25 nC is uniformly distributed along a circular arc (radius = 2.0 m)that is subtended by a 90-degree angle.What is the magnitude of the electric field at the center of the circle along which the arc lies?

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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.

A particle (m = 50 g,q = 5.0 $\mu$ C)is released from rest when it is 50 cm from a second particle (Q = -20 $\mu$ C).Determine the magnitude of the initial acceleration of the 50-g particle.

Each of two small non-conducting spheres is charged positively,the combined charge being 40 $\mu$ C.When the two spheres are 50 cm apart,each sphere is repelled from the other by a force of magnitude 2.0 N.Determine the magnitude of the smaller of the two charges.

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 point charge Q is placed on the x axis at the origin.An identical point charge is placed on the x axis at x = -1.0 m and another at x = +1.0 m.If Q = 40 $\mu$ C,what is the magnitude of the electrostatic force on the charge at x = +1.0 m?

An alpha particle (charge = +2e)is sent at high speed toward a gold nucleus (charge +79e).What is the electrical force acting on the alpha particle when it is at a distance of 2 10 ^- ¹⁴ m away from the gold nucleus? (e = 1.6 10 ^- ¹⁹ C)

If a = 3.0 mm,b = 4.0 mm,Q₁ = 60 nC,Q₂ = 80 nC,and q = 24 nC in the figure,what is the magnitude of the electric force on q?

Charge of a uniform density (8.0 nC/m²)is distributed over the entire xy plane.A charge of uniform density (5.0 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 = 1.0 m.