Homework Chapter 17 17.1 What is the total charge of 1 mole of electrons? 17.3 A piece of amber is charged by rubbing with a piece of fur. If the net excess charge on the fur is 8.5 nC ( 8.5×10 -9 C) many electrons were added to the amber? 17.7 The excess charge per unit area on a surface is σ = -5.0×10 -3 C/m 2 . How many excess electrons are there on a 1.0-mm 2 piece of the surface? 17.12 Two particles with electric charges Q and -3Q are separated by a distance of 1.2 m. (a) If Q = 4.5 C, what is the electric force between the two particles? (b) If Q = -4.5 C, how does the answer change? 17.14 A point charge with q 1 = +2.5 C is located at x = -3.0 m, y = 0, and a second point charge with q 2 = +4.0 C is at x = +1.0 m, y = +2.0 m (Fig. P17.14). (a) What is the force exerted by q 1 on q 2 ? (b) What is the force exerted by q 2 on q 1 ? 17.37 A point particle with charge q = 4.5µC is placed on the x axis at x = -10 cm. A second particle of charge Q is now placed on the x-axis at x = 25 cm, and it is found that the electric field at the origin is zero. Find Q. 17.44 Sketch the electric field lines near the two charges in Figure P17.44. Assume Q is positive. 17.45 A small, plastic sphere of mass m = 100 g is attached to a string as shown in Figure P17.45. There is an electric field of 100 N/C directed along the x direction. If the string makes an angle θ = 30° with the y-axis, what is the charge on the sphere? 17.58 A cylinder has volume V and charge density ρ (Fig. P17.58). What is the electric flux through a sphere of radius R that encloses the cylinder? 17.66 Consider the spherical Gaussian surface shown in Figure P17.66. It is situated near a point charge Q which is located a distance 2r from the center of the sphere and outside the Gaussian surface. Compute the net electric flux through this surface.
Transcript
Homework Chapter 17
17.1 What is the total charge of 1 mole of electrons?
17.3 A piece of amber is charged by rubbing with a piece of fur. If the net excess charge on the
fur is 8.5 nC ( 8.5×10-9C) many electrons were added to the amber?
17.7 The excess charge per unit area on a surface is σ = -5.0×10-3 C/m2 . How many excess
electrons are there on a 1.0-mm2 piece of the surface?
17.12 Two particles with electric charges Q and -3Q are separated by a distance of 1.2 m. (a) If
Q = 4.5 C, what is the electric force between the two particles? (b) If Q = -4.5 C, how does the
answer change?
17.14 A point charge with q1 = +2.5 C is located at x = -3.0 m,
y = 0, and a second point charge with q2 = +4.0 C is at x =
+1.0 m, y = +2.0 m (Fig. P17.14). (a) What is the force exerted
by q1 on q2 ? (b) What is the force exerted by q2 on q1 ?
17.37 A point particle with charge q = 4.5µC is placed on the x
axis at x = -10 cm. A second particle of charge Q is now placed on the x-axis at x = 25 cm, and it
is found that the electric field at the origin is zero. Find Q.
17.44 Sketch the electric field lines near the two charges in Figure P17.44.
Assume Q is positive.
17.45 A small, plastic sphere of mass m = 100 g is attached to a string as
shown in Figure P17.45. There is an electric field of 100 N/C directed
along the x direction. If the string makes an angle θ = 30° with the y-axis,
what is the charge on the sphere?
17.58 A cylinder has volume V and charge density ρ (Fig. P17.58). What is
the electric flux through a sphere of radius R that encloses the cylinder?
17.66 Consider the spherical Gaussian surface shown in Figure P17.66. It is
situated near a point charge Q which is located a distance 2r from the center
of the sphere and outside the Gaussian surface. Compute the net electric flux
through this surface.
Homework Chapter 17
17.1 What is the total charge of 1 mole of electrons?
17.3 A piece of amber is charged by rubbing with a piece of fur. If the net excess charge on the
fur is 8.5 nC ( 8.5×10-9C) many electrons were added to the amber?
Homework Chapter 17
17.7 The excess charge per unit area on a surface is σ = -5.0×10-3 C/m2 . How many excess
electrons are there on a 1.0-mm2 piece of the surface?
Homework Chapter 17
17.12 Two particles with electric charges Q and -3Q are separated by a distance of 1.2 m. (a) If
Q = 4.5 C, what is the electric force between the two particles? (b) If Q = -4.5 C, how does the
answer change?
Homework Chapter 17
17.14 A point charge with q1 = +2.5 C is located at x = -
3.0 m, y = 0, and a second point charge with q2 = +4.0 C
is at x = +1.0 m, y = +2.0 m (Fig. P17.14). (a) What is the
force exerted by q1 on q2 ? (b) What is the force exerted
by q2 on q1 ?
Homework Chapter 17
17.37 A point particle with charge q = 4.5µC is placed on the x axis at x = -10 cm. A second
particle of charge Q is now placed on the x-axis at x = 25 cm, and it is found that the electric
field at the origin is zero. Find Q.
Homework Chapter 17
17.44 Sketch the electric field lines near the two charges in Figure P17.44. Assume Q is positive.
Homework Chapter 17
17.45 A small, plastic sphere of mass m = 100 g is attached to a string
as shown in Figure P17.45. There is an electric field of 100 N/C
directed along the x direction. If the string makes an angle θ = 30° with
the y-axis, what is the charge on the sphere?
!"# = %&'() + +, = 0
!". = %/0&) − 23 = 0
Homework Chapter 17
Homework Chapter 17
17.58 A cylinder has volume V and charge density ρ (Fig. P17.58). What is the
electric flux through a sphere of radius R that encloses the cylinder?
+ = 45
6 = 4578
Homework Chapter 17
17.66 Consider the spherical Gaussian surface shown in Figure P17.66. It is
situated near a point charge Q which is located a distance 2r from the center
of the sphere and outside the Gaussian surface. Compute the net electric flux
