[10 pts.] If electric charge is distributed continuously on a curve C, with the charge density (x,y,z), the electric potential V(P) at a point P, which is not on the curve C, is defined to be V(P) = k [ 5(x,y,z)ds where rp = (x,y,z) is the distance C P 2 from P with a point (x,y,z) on C. The constant k = 8.99 × 10° N* and V has units of volts. Now, a charged semicircle of c² radius R centered at the origin in the xy - plane has charge density: 8(x,y, 0) = 10*8 (2-1) ~ Find the electric potential at the point P = (0, 0, a) if R = 0.1m. [see the figure below]. R'm C c 1. [10 pts.] If electric charge is distributed continuously on a curve C, with the charge density 8(x, y, z), the electric potential V(P) at a point P, which is not on the curve C, is defined to be 8(x, y, z) V(P) = k ds TP where rp=rp(x, y, z) is the distance from P with a point (x, y, z) on C. The constant k = 8.99 x 10° N m2/C2 and V has units of volts. Now, a charged semicircle of radius R centered at the origin in the xy-plane has charge density: 8(x, y, 0) = 10-8 (2) C/m Find the electric potential at the point P = (0, 0, a) if R = 0.1 m. [see the figure below]. P-(0.0, a) (R cost, R sin r
[10 pts.] If electric charge is distributed continuously on a curve C, with the charge density (x,y,z), the electric potential V(P) at a point P, which is not on the curve C, is defined to be V(P) = k [ 5(x,y,z)ds where rp = (x,y,z) is the distance C P 2 from P with a point (x,y,z) on C. The constant k = 8.99 × 10° N* and V has units of volts. Now, a charged semicircle of c² radius R centered at the origin in the xy - plane has charge density: 8(x,y, 0) = 10*8 (2-1) ~ Find the electric potential at the point P = (0, 0, a) if R = 0.1m. [see the figure below]. R'm C c 1. [10 pts.] If electric charge is distributed continuously on a curve C, with the charge density 8(x, y, z), the electric potential V(P) at a point P, which is not on the curve C, is defined to be 8(x, y, z) V(P) = k ds TP where rp=rp(x, y, z) is the distance from P with a point (x, y, z) on C. The constant k = 8.99 x 10° N m2/C2 and V has units of volts. Now, a charged semicircle of radius R centered at the origin in the xy-plane has charge density: 8(x, y, 0) = 10-8 (2) C/m Find the electric potential at the point P = (0, 0, a) if R = 0.1 m. [see the figure below]. P-(0.0, a) (R cost, R sin r
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter26: Electric Potential
Section: Chapter Questions
Problem 51PQ
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![[10 pts.] If electric charge is distributed continuously on a curve C, with the charge density (x,y,z), the electric potential
V(P) at a point P, which is not on the curve C, is defined to be V(P) = k [
5(x,y,z)ds where rp
=
(x,y,z) is the distance
C
P
2
from P with a point (x,y,z) on C. The constant k = 8.99 × 10° N* and V has units of volts. Now, a charged semicircle of
c²
radius R centered at the origin in the xy - plane has charge density: 8(x,y, 0) = 10*8 (2-1) ~ Find the electric potential at
the point P = (0, 0, a) if R = 0.1m. [see the figure below].
R'm
C
c
1. [10 pts.] If electric charge is distributed continuously on a curve C, with the charge density
8(x, y, z), the electric potential V(P) at a point P, which is not on the curve C, is defined
to be
8(x, y, z)
V(P) = k
ds
TP
where rp=rp(x, y, z) is the distance from P with a point (x, y, z) on C. The constant
k = 8.99 x 10° N m2/C2 and V has units of volts.
Now, a charged semicircle of radius R centered at the origin in the xy-plane has charge
density:
8(x, y, 0) = 10-8 (2) C/m
Find the electric potential at the point P = (0, 0, a) if R = 0.1 m. [see the figure below].
P-(0.0, a)
(R cost, R sin r](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdcd4ad1d-2540-4168-b958-e99fff9a1df6%2F717691f5-034c-4204-a9d1-7207245d1638%2Fmsz79hc_processed.png&w=3840&q=75)
Transcribed Image Text:[10 pts.] If electric charge is distributed continuously on a curve C, with the charge density (x,y,z), the electric potential
V(P) at a point P, which is not on the curve C, is defined to be V(P) = k [
5(x,y,z)ds where rp
=
(x,y,z) is the distance
C
P
2
from P with a point (x,y,z) on C. The constant k = 8.99 × 10° N* and V has units of volts. Now, a charged semicircle of
c²
radius R centered at the origin in the xy - plane has charge density: 8(x,y, 0) = 10*8 (2-1) ~ Find the electric potential at
the point P = (0, 0, a) if R = 0.1m. [see the figure below].
R'm
C
c
1. [10 pts.] If electric charge is distributed continuously on a curve C, with the charge density
8(x, y, z), the electric potential V(P) at a point P, which is not on the curve C, is defined
to be
8(x, y, z)
V(P) = k
ds
TP
where rp=rp(x, y, z) is the distance from P with a point (x, y, z) on C. The constant
k = 8.99 x 10° N m2/C2 and V has units of volts.
Now, a charged semicircle of radius R centered at the origin in the xy-plane has charge
density:
8(x, y, 0) = 10-8 (2) C/m
Find the electric potential at the point P = (0, 0, a) if R = 0.1 m. [see the figure below].
P-(0.0, a)
(R cost, R sin r
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