Chapter 16 – Problem 13
Given
Q=6.00x10-3Cr=1.00mr=1.00m 2 k=9.0x109 N2m2/C2
Find Force on the top
right charge
Chapter 16 – Problem 13
Given
Q=6.00x10-3Cr=1.00mr=1.00m 2 k=9.0x109 N2m2/C2
Find Force on the top
right charge
Chapter 16 – Problem 13
Given
Q=6.00x10-3Cr=1.00mr=1.00m 2 k=9.0x109 N2m2/C2
Find Force on the top
right charge
Chapter 16 – Problem 13
Given
Q=6.00x10-3Cr=1.00mr=1.00m 2 k=9.0x109 N2m2/C2
Find Force on the top
right charge
Chapter 16 – Problem 13
Given
Q=6.00x10-3Cr=1.00mr=1.00m 2 k=9.0x109 N2m2/C2
Find Force on the top
right charge
Chapter 16 – Problem 13
F = KQQ / r2 = 9.0x109 N2m2/C2(6.0x10-3)2 / (1.0m)2
Fx=3.24x105N for top left on top right Fy=3.24x105N for bottom right on top right
F=KQQ / r2=9.0x109 N2m2/C2(6.0x10-3)2/(1.0m 2 )2
F=1.62x105N Fx=1.62x105N cos45= 1.15x105N for bottom left on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top right
Chapter 16 – Problem 13
F = KQQ / r2 = 9.0x109 N2m2/C2(6.0x10-3)2 / (1.0m)2
Fx=3.24x105N for top left on top right Fy=3.24x105N for bottom right on top right
F=KQQ / r2=9.0x109 N2m2/C2(6.0x10-3)2/(1.0m 2 )2
F=1.62x105N Fx=1.62x105N cos45= 1.15x105N for bottom left on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top right
Chapter 16 – Problem 13
F = KQQ / r2 = 9.0x109 N2m2/C2(6.0x10-3)2 / (1.0m)2
Fx=3.24x105N for top left on top right Fy=3.24x105N for bottom right on top right
F=KQQ / r2=9.0x109 N2m2/C2(6.0x10-3)2/(1.0m 2 )2
F=1.62x105N Fx=1.62x105N cos45= 1.15x105N for bottom left on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top right
Chapter 16 – Problem 13
F = KQQ / r2 = 9.0x109 N2m2/C2(6.0x10-3)2 / (1.0m)2
Fx=3.24x105N for top left on top right Fy=3.24x105N for bottom right on top right
F=KQQ / r2=9.0x109 N2m2/C2(6.0x10-3)2/(1.0m 2 )2
F=1.62x105N Fx=1.62x105N cos45= 1.15x105N for bottom left on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top right
Chapter 16 – Problem 13
F = KQQ / r2 = 9.0x109 N2m2/C2(6.0x10-3)2 / (1.0m)2
Fx=3.24x105N for top left on top right Fy=3.24x105N for bottom right on top right
F=KQQ / r2=9.0x109 N2m2/C2(6.0x10-3)2/(1.0m 2 )2
F=1.62x105N Fx=1.62x105N cos45= 1.15x105N for bottom left on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top right
Chapter 16 – Problem 13
F = KQQ / r2 = 9.0x109 N2m2/C2(6.0x10-3)2 / (1.0m)2
Fx=3.24x105N for top left on top right Fy=3.24x105N for bottom right on top right
F=KQQ / r2=9.0x109 N2m2/C2(6.0x10-3)2/(1.0m 2 )2
F=1.62x105N Fx=1.62x105N cos45= 1.15x105N for bottom left on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top right
Chapter 16 – Problem 13
F = KQQ / r2 = 9.0x109 N2m2/C2(6.0x10-3)2 / (1.0m)2
Fx=3.24x105N for top left on top right Fy=3.24x105N for bottom right on top right
F=KQQ / r2=9.0x109 N2m2/C2(6.0x10-3)2/(1.0m 2 )2
F=1.62x105N Fx=1.62x105N cos45= 1.15x105N for bottom left on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top right
Chapter 16 – Problem 13
F = KQQ / r2 = 9.0x109 N2m2/C2(6.0x10-3)2 / (1.0m)2
Fx=3.24x105N for top left on top right Fy=3.24x105N for bottom right on top right
F=KQQ / r2=9.0x109 N2m2/C2(6.0x10-3)2/(1.0m 2 )2
F=1.62x105N Fx=1.62x105N cos45= 1.15x105N for bottom left on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top right
Chapter 16 – Problem 13
Fx=3.24x105N for top left on top rightFx=1.62x105N cos45= 1.15x105N for bottom left on top rightTotal x = 4.39x105N
Fy=3.24x105N for bottom right on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top rightTotal y = 4.39x105N
Chapter 16 – Problem 13
Fx=3.24x105N for top left on top rightFx=1.62x105N cos45= 1.15x105N for bottom left on top rightTotal x = 4.39x105N
Fy=3.24x105N for bottom right on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top rightTotal y = 4.39x105N
Chapter 16 – Problem 13
Fx=3.24x105N for top left on top rightFx=1.62x105N cos45= 1.15x105N for bottom left on top rightTotal x = 4.39x105N
Fy=3.24x105N for bottom right on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top rightTotal y = 4.39x105N
Chapter 16 – Problem 13
Fx=3.24x105N for top left on top rightFx=1.62x105N cos45= 1.15x105N for bottom left on top rightTotal x = 4.39x105N
Fy=3.24x105N for bottom right on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top rightTotal y = 4.39x105N
Chapter 16 – Problem 13
Fx=3.24x105N for top left on top rightFx=1.62x105N cos45= 1.15x105N for bottom left on top rightTotal x = 4.39x105N
Fy=3.24x105N for bottom right on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top rightTotal y = 4.39x105N
Chapter 16 – Problem 13
Fx=3.24x105N for top left on top rightFx=1.62x105N cos45= 1.15x105N for bottom left on top rightTotal x = 4.39x105N
Fy=3.24x105N for bottom right on top right Fy=1.62x105N sin45= 1.15x105N for bottom left on top rightTotal y = 4.39x105N
Chapter 16 – Problem 13
Total x = 4.39x105N
Total y = 4.39x105N
total (4.39x105N)2 + (4.39x105N)2
Total = 6.2x105N away from the center
Chapter 16 – Problem 13
Total x = 4.39x105N
Total y = 4.39x105N
total (4.39x105N)2 + (4.39x105N)2
Total = 6.2x105N away from the center
Chapter 16 – Problem 13
Total x = 4.39x105N
Total y = 4.39x105N
total (4.39x105N)2 + (4.39x105N)2
Total = 6.2x105N away from the center
Chapter 16 – Problem 13
Total x = 4.39x105N
Total y = 4.39x105N
total (4.39x105N)2 + (4.39x105N)2
Total = 6.2x105N away from the center
Chapter 16 – Problem 15
GivenQ=1.6x10-19C m=9.11x10-31kg r=.53x10-10m k=9.0x109 N2m2/C2
G=6.67.0x10-11 N2m2/kg2
FindFE
Fg
Chapter 16 Problem 15
F = KQQ / r2 = 9.0x109 N2m2/C2(1.6x10-19)2
(.53x10-10m)2
F=8.2x10-8N
F = Gmm / r2 = 6.67x10-11 N2m2/C2(9.11x10-31kg)2 (.53x10-10m)2
F=3.6x10-47N
Ratio=8.2x10-8N/3.6x10-47N=2.3x1039 times greater
Chapter 16 Problem 15
F = KQQ / r2 = 9.0x109 N2m2/C2(1.6x10-19)2
(.53x10-10m)2
F=8.2x10-8N
F = Gmm / r2 = 6.67x10-11 N2m2/C2(9.11x10-31kg)2 (.53x10-10m)2
F=3.6x10-47N
Ratio=8.2x10-8N/3.6x10-47N=2.3x1039 times greater
Chapter 16 Problem 15
F = KQQ / r2 = 9.0x109 N2m2/C2(1.6x10-19)2
(.53x10-10m)2
F=8.2x10-8N
F = Gmm / r2 = 6.67x10-11 N2m2/C2(9.11x10-31kg)2 (.53x10-10m)2
F=3.6x10-47N
Ratio=8.2x10-8N/3.6x10-47N=2.3x1039 times greater
Chapter 16 Problem 19
Given
The charge must be placed beyond one of the charges in order for the net force to equal zero
Chapter 16 Problem 19
GivenQ=5.7x10-6Cr=.25m+xQ2=3.5x10-6C
r2=x
k=9.0x109
N2m2/C2
FindX position a positive or negative particle would experience no force
Chapter 16 Problem 19
F=KQQ / r2 K(5.7x10–6 C) Q / (.25m + x)2 =K(3.5x10–6 C) Q / x2
(5.7x10–6 C) / (.25m + x)2 =(3.5x10–6 C) / x2
X=.91m beyond the negative charge
The result is independent of the magnitude of the charge and sign of the particle to placed at .91 m
Chapter 16 Problem 19
F=KQQ / r2 K(5.7x10–6 C) Q / (.25m + x)2 =K(3.5x10–6 C) Q / x2
(5.7x10–6 C) / (.25m + x)2 =(3.5x10–6 C) / x2
X=.91m beyond the negative charge
The result is independent of the magnitude of the charge and sign of the particle to placed at .91 m
Chapter 16 Problem 19
F=KQQ / r2 K(5.7x10–6 C) Q / (.25m + x)2 =K(3.5x10–6 C) Q / x2
(5.7x10–6 C) / (.25m + x)2 =(3.5x10–6 C) / x2
X=.91m beyond the negative charge
The result is independent of the magnitude of the charge and sign of the particle to placed at .91 m
Chapter 16 Problem 19
F=KQQ / r2 K(5.7x10–6 C) Q / (.25m + x)2 =K(3.5x10–6 C) Q / x2
(5.7x10–6 C) / (.25m + x)2 =(3.5x10–6 C) / x2
X=.91m beyond the negative charge
The result is independent of the magnitude of the charge and sign of the particle to placed at .91 m
Chapter 16 Problem 19
F=KQQ / r2 K(5.7x10–6 C) Q / (.25m + x)2 =K(3.5x10–6 C) Q / x2
(5.7x10–6 C) / (.25m + x)2 =(3.5x10–6 C) / x2
X=.91m beyond the negative charge
The result is independent of the magnitude of the charge and sign of the particle to placed at .91 m
Chapter 16 Problem 19
F=KQQ / r2 K(5.7x10–6 C) Q / (.25m + x)2 =K(3.5x10–6 C) Q / x2
(5.7x10–6 C) / (.25m + x)2 =(3.5x10–6 C) / x2
X=.91m beyond the negative charge
The result is independent of the magnitude of the charge and sign of the particle to placed at .91 m
Chapter 16 Problem 21
Given q=1.6x10-19C m=9.11x10-31kg E=600 N/C
Find a=?m/s2
Direction=?
Chapter 16 Problem 21
F=qE= ma F = (1.6x10-19C) (600N/C)=(9.11x10-31kg) a
a=1.04x1014m/s2
Since the charge on the electron is negative and the direction of force and thus the acceleration is opposite to the direction of the electric fieldThe direction of the acceleration is independent of the velocity
Chapter 16 Problem 21
F=qE= ma F = (1.6x10-19C) (600N/C)=(9.11x10-31kg) a
a=1.04x1014m/s2
Since the charge on the electron is negative and the direction of force and thus the acceleration is opposite to the direction of the electric fieldThe direction of the acceleration is independent of the velocity
Chapter 16 Problem 21
F=qE= ma F = (1.6x10-19C) (600N/C)=(9.11x10-31kg) a
a=1.04x1014m/s2
Since the charge on the electron is negative and the direction of force and thus the acceleration is opposite to the direction of the electric fieldThe direction of the acceleration is independent of the velocity
Chapter 16 Problem 21
F=qE= ma F = (1.6x10-19C) (600N/C)=(9.11x10-31kg) a
a=1.04x1014m/s2
Since the charge on the electron is negative and the direction of force and thus the acceleration is opposite to the direction of the electric fieldThe direction of the acceleration is independent of the velocity
Chapter 16 Problem 21
F=qE= ma F = (1.6x10-19C) (600N/C)=(9.11x10-31kg) a
a=1.04x1014m/s2
Since the charge on the electron is negative and the direction of force and thus the acceleration is opposite to the direction of the electric fieldThe direction of the acceleration is independent of the velocity
Chapter 16 Problem 21
F=qE= ma F = (1.6x10-19C) (600N/C)=(9.11x10-31kg) a
a=1.04x1014m/s2
Since the charge on the electron is negative and the direction of force and thus the acceleration is opposite to the direction of the electric fieldThe direction of the acceleration is independent of the velocity
Chapter 16 Problem 27
Given q=1.6x10-19C m=9.11x10-31kg a=125m/s2
FindE=? N/C
Chapter 16 Problem 27
F=qE= ma F = (1.6x10-19C) E=(9.11x10-31kg) (125m/s2) E=7.12x10-10N/C south
Because the charge on the electron is negative, the direction of force,and thus the acceleration, is opposite to the direction of the electric field, so the electric field is south
Chapter 16 Problem 27
F=qE= ma F = (1.6x10-19C) E=(9.11x10-31kg) (125m/s2) E=7.12x10-10N/C south
Because the charge on the electron is negative, the direction of force,and thus the acceleration, is opposite to the direction of the electric field, so the electric field is south
Chapter 16 Problem 27
F=qE= ma F = (1.6x10-19C) E=(9.11x10-31kg) (125m/s2) E=7.12x10-10N/C south
Because the charge on the electron is negative, the direction of force,and thus the acceleration, is opposite to the direction of the electric field, so the electric field is south
Chapter 16 Problem 27
F=qE= ma F = (1.6x10-19C) E=(9.11x10-31kg) (125m/s2) E=7.12x10-10N/C south
Because the charge on the electron is negative, the direction of force,and thus the acceleration, is opposite to the direction of the electric field, so the electric field is south
Chapter 16 Problem 27
F=qE= ma F = (1.6x10-19C) E=(9.11x10-31kg) (125m/s2) E=7.12x10-10N/C south
Because the charge on the electron is negative, the direction of force,and thus the acceleration, is opposite to the direction of the electric field, so the electric field is south
Chapter 16 Problem 27
F=qE= ma F = (1.6x10-19C) E=(9.11x10-31kg) (125m/s2) E=7.12x10-10N/C south
Because the charge on the electron is negative, the direction of force,and thus the acceleration, is opposite to the direction of the electric field, so the electric field is south
Chapter 16 Problem 30a
.05m
.10m
9.0x10-6C 9.0x10-6C
Find the Electric field strength at (0,.05m)
Given
Chapter 16 Problem 30a
GivenQ=9.0x10-6Ck=9.0x109 N2m2/C2
r= (.10m)2+(.05m)2
r=.112mtan= .05m/.10m = 26.6o
FindE at (0,.05m)
Problem 30a
E=kQ r2
E = 9.0x109 N2m2/C2 (9.0x10-6 C)(.112m)2
E=6.48x106 N/C
Chapter 16 Problem 30a
X-compThe sum of their x components will equal zero
Y comp The sum of their y
components equal twice the y component due to one of the charges
Chapter 16 Problem 30a
2Fy=2(6.48x106 N/C) sin 26.6
Total Fy =5.8x106N/C
Chapter 16 Problem 30b
.05m
.05m
9.0x10-6C 9.0x10-6C
Find the Electric field strength at (0,.05m)
Given
.15m
Chapter 16 Problem 30b
GivenQ=9.0x10-6Ck=9.0x109 N2m2/C2
r= (.05m)2+(.05m)2
r=.0707m = 45o
GivenQ=9.0x10-6Ck=9.0x109 N2m2/C2
r= (.15m)2+(.05m)2
r=.158m tan = .05m/.15m = 18.40
Problem 30b
E = 9.0x109 N2m2/C2 (9.0x10-6 C)(.0707m)2
E=1.62x107 N/C
Problem 30b
E = 9.0x109 N2m2/C2 (9.0x10-6 C)(.158m)2
E=3.24x106 N/C
Chapter 16 Problem 30b
Ey=(1.62x107 N/C) sin 45
EY=1.15x107N/C
Ey=(3.24x106N/C)sin18.4= 1.02x106N/CEy=1.15x107N/C+1.02x106N/C =
Ey=1.25x107N/C
Chapter 16 Problem 30b
Ex=(1.62x107 N/C) cos 45
Ex=1.15x107N/C
Ex=(3.24x106N/C)cos18.4=3.07x106N/CEx=1.15x107N/C-3.07x106N/C=
Ex=8.43x106N/C
Chapter 16 Problem 30b
Ex=9.97x106N/C
Ey=1.25x107N/C
E= (8.43x106N/C)2+(1.25x107N/C)2
E=1.5x107N/C
Problem 31
Problem 31
K=9.0x109N/CQ=+45.0x10-5CQ=-3.0x10-5C r=.60 m _2=.423m 2Find E field in the center
Problem 31
E =KQ 9.0x109N/C(+4.5x10-5C) r2 (.423m)2
E=2.26x103 N/CE =KQ 9.0x109N/C(+3.1x10-5C) r2 (.423m)2
E=5.96x105 N/CE=1.46x106N/C diagonally away from +
Chapter 17 Problem 7,9,13,15,19
Given Find K.E. = 65.0 keV VB-VA=?kV q = +2e
F/R/S/A KE + PE = O conservation of energy KE + q(VB – VA) = 0
q(VB – VA) = KE
(VB – VA) = KE = -65.0 keV = -32.5kV q +2e
Chapter 17 Problem 7,9,13,15,19
Given Find K.E. = 65.0 keV VB-VA=?kV q = +2e
F/R/S/A KE + PE = O conservation of energy KE + q(VB – VA) = 0
q(VB – VA) = KE
(VB – VA) = KE = -65.0 keV = -32.5kV q +2e
Chapter 17 Problem 7,9,13,15,19
Given Find K.E. = 65.0 keV VB-VA=?kV q = +2e
F/R/S/A KE + PE = O conservation of energy KE + q(VB – VA) = 0
q(VB – VA) = KE
(VB – VA) = KE = -65.0 keV = -32.5kV q +2e
Chapter 17 Problem 7,9,13,15,19
Given Find K.E. = 65.0 keV VB-VA=?kV q = +2e
F/R/S/A KE + PE = O conservation of energy KE + q(VB – VA) = 0
q(VB – VA) = KE
(VB – VA) = KE = -65.0 keV = -32.5kV q +2e
Chapter 17 Problem 7,9,13,15,19
Given Find K.E. = 65.0 keV VB-VA=?kV q = +2e
F/R/S/A KE + PE = O conservation of energy KE + q(VB – VA) = 0
q(VB – VA) = KE
(VB – VA) = KE = -65.0 keV = -32.5kV q +2e
Chapter 17 Problem 7,9,13,15,19
Given Find K.E. = 65.0 keV VB-VA=?kV q = +2e
F/R/S/A KE + PE = O conservation of energy KE + q(VB – VA) = 0
q(VB – VA) = KE
(VB – VA) = KE = -65.0 keV = -32.5kV q +2e
Chapter 17 Problem 7,9,13,15,19
Given Find K.E. = 65.0 keV VB-VA=?kV q = +2e
F/R/S/A KE + PE = O conservation of energy KE + q(VB – VA) = 0
q(VB – VA) = KE
(VB – VA) = KE = -65.0 keV = -32.5kV q +2e
Chapter 17 Problem 7,9,13,15,19
Given FindW = 25.0x10-4 J K.E. = 4.82 x 10 -4J VB-VA=?V
q = -7.5x10-6 C
F/R/S/A W = KE + PE
W = KE + q(VB – VA)
W - KE = q(VB – VA)
W - KE = (VB – VA)
q25.0x10-4J – 4.82x10-4J = (VB-VA) = -269 V therefore (VA-VB)
=+269V (-7.50x10-6 C)
Chapter 17 Problem 7,9,13,15,19
Given FindW = 25.0x10-4 J K.E. = 4.82 x 10 -4J VB-VA=?V
q = -7.5x10-6 C
F/R/S/A W = KE + PE
W = KE + q(VB – VA)
W - KE = q(VB – VA)
W - KE = (VB – VA)
q25.0x10-4J – 4.82x10-4J = (VB-VA) = -269 V therefore (VA-VB)
=+269V (-7.50x10-6 C)
Chapter 17 Problem 7,9,13,15,19
Given FindW = 25.0x10-4 J K.E. = 4.82 x 10 -4J VB-VA=?V
q = -7.5x10-6 C
F/R/S/A W = KE + PE
W = KE + q(VB – VA)
W - KE = q(VB – VA)
W - KE = (VB – VA)
q25.0x10-4J – 4.82x10-4J = (VB-VA) = -269 V therefore (VA-VB)
=+269V (-7.50x10-6 C)
Chapter 17 Problem 7,9,13,15,19
Given FindW = 25.0x10-4 J K.E. = 4.82 x 10 -4J VB-VA=?V
q = -7.5x10-6 C
F/R/S/A W = KE + PE
W = KE + q(VB – VA)
W - KE = q(VB – VA)
W - KE = (VB – VA)
q25.0x10-4J – 4.82x10-4J = (VB-VA) = -269 V therefore (VA-VB)
=+269V (-7.50x10-6 C)
Chapter 17 Problem 7,9,13,15,19
Given FindW = 25.0x10-4 J K.E. = 4.82 x 10 -4J VB-VA=?V
q = -7.5x10-6 C
F/R/S/A W = KE + PE
W = KE + q(VB – VA)
W - KE = q(VB – VA)
W - KE = (VB – VA)
q25.0x10-4J – 4.82x10-4J = (VB-VA) = -269 V therefore (VA-VB)
=+269V (-7.50x10-6 C)
Chapter 17 Problem 7,9,13,15,19
Given FindW = 25.0x10-4 J K.E. = 4.82 x 10 -4J VB-VA=?V
q = -7.5x10-6 C
F/R/S/A W = KE + PE
W = KE + q(VB – VA)
W - KE = q(VB – VA)
W - KE = (VB – VA)
q25.0x10-4J – 4.82x10-4J = (VB-VA) = -269 V therefore (VA-VB)
=+269V (-7.50x10-6 C)
Chapter 17 Problem 7,9,13,15,19
Given FindW = 25.0x10-4 J K.E. = 4.82 x 10 -4J VB-VA=?V
q = -7.5x10-6 C
F/R/S/A W = KE + PE
W = KE + q(VB – VA)
W - KE = q(VB – VA)
W - KE = (VB – VA)
q25.0x10-4J – 4.82x10-4J = (VB-VA) = -269 V therefore (VA-VB)
=+269V (-7.50x10-6 C)
Chapter 17 Problem 7,9,13,15,19
Given FindW = 25.0x10-4 J K.E. = 4.82 x 10 -4J VB-VA=?V
q = -7.5x10-6 C
F/R/S/A W = KE + PE
W = KE + q(VB – VA)
W - KE = q(VB – VA)
W - KE = (VB – VA)
q25.0x10-4J – 4.82x10-4J = (VB-VA) = -269 V therefore (VA-VB)
=+269V (-7.50x10-6 C)
Chapter 17 Problem 7,9,13,15,19
Given FindW = 25.0x10-4 J K.E. = 4.82 x 10 -4J VB-VA=?V
q = -7.5x10-6 C
F/R/S/A W = KE + PE
W = KE + q(VB – VA)
W - KE = q(VB – VA)
W - KE = (VB – VA)
q25.0x10-4J – 4.82x10-4J = (VB-VA) = -269 V therefore (VA-VB)
=+269V (-7.50x10-6 C)
Chapter 17 Problem 7,9,13,15,19
Given: Find r = 15.0x10-2m V = ? J q = 4.00x10-6C C k = 9.0x109 N m2 / C2 F/R/S/A V= kq r V = 9.0x109 N m2 / C2 ( 4.00x10-6 C) = 2.40x105 V
15.0x10-2m
Chapter 17 Problem 7,9,13,15,19
Given: Find r = 15.0x10-2m V = ? J q = 4.00x10-6C C k = 9.0x109 N m2 / C2 F/R/S/A V= kq r V = 9.0x109 N m2 / C2 ( 4.00x10-6 C) = 2.40x105 V
15.0x10-2m
Chapter 17 Problem 7,9,13,15,19
Given: Find r = 15.0x10-2m V = ? J q = 4.00x10-6C C k = 9.0x109 N m2 / C2 F/R/S/A V= kq r V = 9.0x109 N m2 / C2 ( 4.00x10-6 C) = 2.40x105 V
15.0x10-2m
Chapter 17 Problem 7,9,13,15,19
Given: Find r = 15.0x10-2m V = ? J q = 4.00x10-6C C k = 9.0x109 N m2 / C2 F/R/S/A V= kq r V = 9.0x109 N m2 / C2 ( 4.00x10-6 C) = 2.40x105 V
15.0x10-2m
Chapter 17 Problem 7,9,13,15,19
Given: Find r = 15.0x10-2m V = ? J q = 4.00x10-6C C k = 9.0x109 N m2 / C2 F/R/S/A V= kq r V = 9.0x109 N m2 / C2 ( 4.00x10-6 C) = 2.40x105 V
15.0x10-2m
Chapter 17 Problem 15 Q1 a b Q2
L d
Va = k[(Q1/r1a) + (Q2/r2a)]Va =9x109Nm2/C[((30x10-6C)/.16m)+ (30x10-6C)/.16m))]=3.38x106V
Vb =9x109Nm2/C[((30x10-6C)/.26m)+ (30x10-6C)/.06m))]=5.54x106V
Wab = KE+PE KE = 0
Wab = PE = q(Vb-Va) = .50x10-6C(5.54x106V-3.38x106V)=
Wab = +1.08 J
Chapter 17 Problem 15 Q1 a b Q2
L d
Va = k[(Q1/r1a) + (Q2/r2a)]Va =9x109Nm2/C[((30x10-6C)/.16m)+ (30x10-6C)/.16m))]=3.38x106V
Vb =9x109Nm2/C[((30x10-6C)/.26m)+ (30x10-6C)/.06m))]=5.54x106V
Wab = KE+PE KE = 0
Wab = PE = q(Vb-Va) = .50x10-6C(5.54x106V-3.38x106V)=
Wab = +1.08 J
Chapter 17 Problem 15 Q1 a b Q2
L d
Va = k[(Q1/r1a) + (Q2/r2a)]Va =9x109Nm2/C[((30x10-6C)/.16m)+ (30x10-6C)/.16m))]=3.38x106V
Vb =9x109Nm2/C[((30x10-6C)/.26m)+ (30x10-6C)/.06m))]=5.54x106V
Wab = KE+PE KE = 0
Wab = PE = q(Vb-Va) = .50x10-6C(5.54x106V-3.38x106V)=
Wab = +1.08 J
Chapter 17 Problem 15 Q1 a b Q2
L d
Va = k[(Q1/r1a) + (Q2/r2a)]Va =9x109Nm2/C[((30x10-6C)/.16m)+ (30x10-6C)/.16m))]=3.38x106V
Vb =9x109Nm2/C[((30x10-6C)/.26m)+ (30x10-6C)/.06m))]=5.54x106V
Wab = KE+PE KE = 0
Wab = PE = q(Vb-Va) = .50x10-6C(5.54x106V-3.38x106V)=
Wab = +1.08 J
Chapter 17 Problem 15 Q1 a b Q2
L d
Va = k[(Q1/r1a) + (Q2/r2a)]Va =9x109Nm2/C[((30x10-6C)/.16m)+ (30x10-6C)/.16m))]=3.38x106V
Vb =9x109Nm2/C[((30x10-6C)/.26m)+ (30x10-6C)/.06m))]=5.54x106V
Wab = KE+PE KE = 0
Wab = PE = q(Vb-Va) = .50x10-6C(5.54x106V-3.38x106V)=
Wab = +1.08 J
Chapter 17 Problem 15 Q1 a b Q2
L d
Va = k[(Q1/r1a) + (Q2/r2a)]Va =9x109Nm2/C[((30x10-6C)/.16m)+ (30x10-6C)/.16m))]=3.38x106V
Vb =9x109Nm2/C[((30x10-6C)/.26m)+ (30x10-6C)/.06m))]=5.54x106V
Wab = KE+PE KE = 0
Wab = PE = q(Vb-Va) = .50x10-6C(5.54x106V-3.38x106V)=
Wab = +1.08 J
Chapter 17 Problem 15 Q1 a b Q2
L d
Va = k[(Q1/r1a) + (Q2/r2a)]Va =9x109Nm2/C[((30x10-6C)/.16m)+ (30x10-6C)/.16m))]=3.38x106V
Vb =9x109Nm2/C[((30x10-6C)/.26m)+ (30x10-6C)/.06m))]=5.54x106V
Wab = KE+PE KE = 0
Wab = PE = q(Vb-Va) = .50x10-6C(5.54x106V-3.38x106V)=
Wab = +1.08 J
Chapter 17 Problem 15 Q1 a b Q2
L d
Va = k[(Q1/r1a) + (Q2/r2a)]Va =9x109Nm2/C[((30x10-6C)/.16m)+ (30x10-6C)/.16m))]=3.38x106V
Vb =9x109Nm2/C[((30x10-6C)/.26m)+ (30x10-6C)/.06m))]=5.54x106V
Wab = KE+PE KE = 0
Wab = PE = q(Vb-Va) = .50x10-6C(5.54x106V-3.38x106V)=
Wab = +1.08 J
Chapter 17 Problem 15 Q1 a b Q2
L d
Va = k[(Q1/r1a) + (Q2/r2a)]Va =9x109Nm2/C[((30x10-6C)/.16m)+ (30x10-6C)/.16m))]=3.38x106V
Vb =9x109Nm2/C[((30x10-6C)/.26m)+ (30x10-6C)/.06m))]=5.54x106V
Wab = KE+PE KE = 0
Wab = PE = q(Vb-Va) = .50x10-6C(5.54x106V-3.38x106V)=
Wab = +1.08 J
Chapter 17 Problem 15 Q1 a b Q2
L d
Va = k[(Q1/r1a) + (Q2/r2a)]Va =9x109Nm2/C[((30x10-6C)/.16m)+ (30x10-6C)/.16m))]=3.38x106V
Vb =9x109Nm2/C[((30x10-6C)/.26m)+ (30x10-6C)/.06m))]=5.54x106V
Wab = KE+PE KE = 0
Wab = PE = q(Vb-Va) = .50x10-6C(5.54x106V-3.38x106V)=
Wab = +1.08 J