1. (50 points) A proton is initially placed at rest a distance d = 3.0 mm away from the center of a uniformly-charged disk of radius r = 12.0 cm carrying -46 nC of charge, as shown in the diagram immediately below (not to scale): a) (15 points) What is the initial force on the proton? (Don't forget that force is a vector!) surface of uniform charge luf to diff in distance and redi Using E on JE =D A= (12m) = .045m² a=" -6 E=26 = -1.07x1070/² 1.885 × 10-12 (1/Nm²) 1- -460C .045m 2 a = -1016.8 nc/m² =-1.07x10-6 C "C/M² =-60451 N/C F=qE=1.6x10-19 - 60451N/C Now, a second identical disk carrying +46 nC of charge is placed 6.0 mm above the first disk, as shown in the new diagram below. A proton is placed at rest between the disks' centers at a distance d = 3.0 mm from each disk, as shown in the diagram below (not to scale): +46 F9.7x10 1/2 -46 d d b) (15 points) What is the new force on the proton? c) (10 points) In this new two-plate situation, what is the electric potential at the proton's initial position? You may assume V = 0 at the negative plate. d) (10 points) What is the proton's initial electric potential energy? b. Since & is opposite, it will push the proton. Charge is equal in magnitude, and d and dick are the Some so FI will be the Same. Frew=27 Fret = 0 N-10 C. V=Es AV= 60451 W/C -2 V= 003 m. 362√ = 1812 d. =qv .000m 006m = 362V v=AV 1815 v- 1.6x10-19 C = 2.9x 10-17-1/2 \- 1. (50 points) A proton is initially placed at rest a distance d = 3.0 mm away from the center of a uniformly-charged disk of radius r = 12.0 cm carrying -46 nC of charge, as shown in the diagram immediately below (not to scale): a) (15 points) What is the initial force on the proton? (Don't forget that force is a vector!) surface of uniform charge luf to diff in distance and redi Using E on JE =D A= (12m) = .045m² a=" -6 E=26 = -1.07x1070/² 1.885 × 10-12 (1/Nm²) 1- -460C .045m 2 a = -1016.8 nc/m² =-1.07x10-6 C "C/M² =-60451 N/C F=qE=1.6x10-19 - 60451N/C Now, a second identical disk carrying +46 nC of charge is placed 6.0 mm above the first disk, as shown in the new diagram below. A proton is placed at rest between the disks' centers at a distance d = 3.0 mm from each disk, as shown in the diagram below (not to scale): +46 F9.7x10 1/2 -46 d d b) (15 points) What is the new force on the proton? c) (10 points) In this new two-plate situation, what is the electric potential at the proton's initial position? You may assume V = 0 at the negative plate. d) (10 points) What is the proton's initial electric potential energy? b. Since & is opposite, it will push the proton. Charge is equal in magnitude, and d and dick are the Some so FI will be the Same. Frew=27 Fret = 0 N-10 C. V=Es AV= 60451 W/C -2 V= 003 m. 362√ = 1812 d. =qv .000m 006m = 362V v=AV 1815 v- 1.6x10-19 C = 2.9x 10-17-1/2 \-

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1. (50 points) A proton is initially placed at rest a distance d = 3.0 mm away from the center of a
uniformly-charged disk of radius r = 12.0 cm carrying -46 nC of charge, as shown in the diagram
immediately below (not to scale):
a) (15 points) What is the initial force on the proton? (Don't forget that force is a vector!)
surface of uniform charge luf to diff in distance and redi
Using E on
JE
=D
A= (12m) = .045m² a="
-6
E=26
=
-1.07x1070/² 1.885 × 10-12 (1/Nm²)
1-
-460C
.045m 2
a = -1016.8 nc/m²
=-1.07x10-6 C
"C/M²
=-60451 N/C F=qE=1.6x10-19 - 60451N/C
Now, a second identical disk carrying +46 nC of charge is placed 6.0 mm above the first disk, as
shown in the new diagram below. A proton is placed at rest between the disks' centers at a
distance d = 3.0 mm from each disk, as shown in the diagram below (not to scale):
+46
F9.7x10
1/2
-46
d
d
b) (15 points) What is the new force on the proton?
c) (10 points) In this new two-plate situation, what is the electric potential at the proton's
initial position? You may assume V = 0 at the negative plate.
d) (10 points) What is the proton's initial electric potential energy?
b. Since & is opposite, it will push the proton. Charge is equal in
magnitude, and d and dick are the
Some so
FI will be
the
Same.
Frew=27
Fret = 0 N-10
C. V=Es
AV= 60451 W/C
-2
V=
003 m. 362√ = 1812
d. =qv
.000m
006m = 362V v=AV
1815 v- 1.6x10-19 C = 2.9x 10-17-1/2
\-
Transcribed Image Text:1. (50 points) A proton is initially placed at rest a distance d = 3.0 mm away from the center of a uniformly-charged disk of radius r = 12.0 cm carrying -46 nC of charge, as shown in the diagram immediately below (not to scale): a) (15 points) What is the initial force on the proton? (Don't forget that force is a vector!) surface of uniform charge luf to diff in distance and redi Using E on JE =D A= (12m) = .045m² a=" -6 E=26 = -1.07x1070/² 1.885 × 10-12 (1/Nm²) 1- -460C .045m 2 a = -1016.8 nc/m² =-1.07x10-6 C "C/M² =-60451 N/C F=qE=1.6x10-19 - 60451N/C Now, a second identical disk carrying +46 nC of charge is placed 6.0 mm above the first disk, as shown in the new diagram below. A proton is placed at rest between the disks' centers at a distance d = 3.0 mm from each disk, as shown in the diagram below (not to scale): +46 F9.7x10 1/2 -46 d d b) (15 points) What is the new force on the proton? c) (10 points) In this new two-plate situation, what is the electric potential at the proton's initial position? You may assume V = 0 at the negative plate. d) (10 points) What is the proton's initial electric potential energy? b. Since & is opposite, it will push the proton. Charge is equal in magnitude, and d and dick are the Some so FI will be the Same. Frew=27 Fret = 0 N-10 C. V=Es AV= 60451 W/C -2 V= 003 m. 362√ = 1812 d. =qv .000m 006m = 362V v=AV 1815 v- 1.6x10-19 C = 2.9x 10-17-1/2 \-
1. (50 points) A proton is initially placed at rest a distance d = 3.0 mm away from the center of a
uniformly-charged disk of radius r = 12.0 cm carrying -46 nC of charge, as shown in the diagram
immediately below (not to scale):
a) (15 points) What is the initial force on the proton? (Don't forget that force is a vector!)
surface of uniform charge luf to diff in distance and redi
Using E on
JE
=D
A= (12m) = .045m² a="
-6
E=26
=
-1.07x1070/² 1.885 × 10-12 (1/Nm²)
1-
-460C
.045m 2
a = -1016.8 nc/m²
=-1.07x10-6 C
"C/M²
=-60451 N/C F=qE=1.6x10-19 - 60451N/C
Now, a second identical disk carrying +46 nC of charge is placed 6.0 mm above the first disk, as
shown in the new diagram below. A proton is placed at rest between the disks' centers at a
distance d = 3.0 mm from each disk, as shown in the diagram below (not to scale):
+46
F9.7x10
1/2
-46
d
d
b) (15 points) What is the new force on the proton?
c) (10 points) In this new two-plate situation, what is the electric potential at the proton's
initial position? You may assume V = 0 at the negative plate.
d) (10 points) What is the proton's initial electric potential energy?
b. Since & is opposite, it will push the proton. Charge is equal in
magnitude, and d and dick are the
Some so
FI will be
the
Same.
Frew=27
Fret = 0 N-10
C. V=Es
AV= 60451 W/C
-2
V=
003 m. 362√ = 1812
d. =qv
.000m
006m = 362V v=AV
1815 v- 1.6x10-19 C = 2.9x 10-17-1/2
\-
Transcribed Image Text:1. (50 points) A proton is initially placed at rest a distance d = 3.0 mm away from the center of a uniformly-charged disk of radius r = 12.0 cm carrying -46 nC of charge, as shown in the diagram immediately below (not to scale): a) (15 points) What is the initial force on the proton? (Don't forget that force is a vector!) surface of uniform charge luf to diff in distance and redi Using E on JE =D A= (12m) = .045m² a=" -6 E=26 = -1.07x1070/² 1.885 × 10-12 (1/Nm²) 1- -460C .045m 2 a = -1016.8 nc/m² =-1.07x10-6 C "C/M² =-60451 N/C F=qE=1.6x10-19 - 60451N/C Now, a second identical disk carrying +46 nC of charge is placed 6.0 mm above the first disk, as shown in the new diagram below. A proton is placed at rest between the disks' centers at a distance d = 3.0 mm from each disk, as shown in the diagram below (not to scale): +46 F9.7x10 1/2 -46 d d b) (15 points) What is the new force on the proton? c) (10 points) In this new two-plate situation, what is the electric potential at the proton's initial position? You may assume V = 0 at the negative plate. d) (10 points) What is the proton's initial electric potential energy? b. Since & is opposite, it will push the proton. Charge is equal in magnitude, and d and dick are the Some so FI will be the Same. Frew=27 Fret = 0 N-10 C. V=Es AV= 60451 W/C -2 V= 003 m. 362√ = 1812 d. =qv .000m 006m = 362V v=AV 1815 v- 1.6x10-19 C = 2.9x 10-17-1/2 \-
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