4) A ring of radius a carries a nonuniform charge density of 1 = 1, sin o. Let the ring lie in the x-y plane and place the center of the circle at the origin. Let o be the angle around the ring in the x-y plane. Calculate the electric field at a point Pa distance z above the ring along the z-axis. What is the direction of the field at the point P if an angle of o lines up with the +x axis?
4) A ring of radius a carries a nonuniform charge density of 1 = 1, sin o. Let the ring lie in the x-y plane and place the center of the circle at the origin. Let o be the angle around the ring in the x-y plane. Calculate the electric field at a point Pa distance z above the ring along the z-axis. What is the direction of the field at the point P if an angle of o lines up with the +x axis?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Answers to help answer question in picture. Need help with question 4 (alone in seperate picture).
![4) A ring of radius a carries a nonuniform charge density of 1 = 1, sin o. Let the ring lie in the
x-y plane and place the center of the circle at the origin. Let o be the angle around the ring in the
x-y plane. Calculate the electric field at a point Pa distance z above the ring along the z-axis.
What is the direction of the field at the point P if an angle of o lines up with the +x axis?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4df1ae9d-81b1-43f4-beb8-f4a94ce61cbc%2Fb3e5070f-8929-46c2-8432-e970421117d0%2Fzqg2umm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4) A ring of radius a carries a nonuniform charge density of 1 = 1, sin o. Let the ring lie in the
x-y plane and place the center of the circle at the origin. Let o be the angle around the ring in the
x-y plane. Calculate the electric field at a point Pa distance z above the ring along the z-axis.
What is the direction of the field at the point P if an angle of o lines up with the +x axis?
![Solution
(C)
E = KQx
k = L
9 x10 9 w mtIce
= 2.25m
x²+q? = (Iis)?+(0.04)?
父 =1.5
,a = 0. O4
で)
E =
9 X 1o 9 X 1.5 Yux 10-)
521 x 109
(2.25 J3e
3. 3 8
E = I5.97X10C
こ(6
X 10
NIC
6 y.8 X 104
11.1 x lo4
at
父 = 1.8 m
*へ
E =
5.832
at x =
2.1 m ;
75.6 X 104
8. 15 X104NIC
ニ
9.2 7
at
= 2. u m E
86.4 X1
6.26 x lo° C
ニ
ニ
13.8
at
4.3 3 x 10" NIc
X = 2.7 m,
E =
97.2 x loY
ニ
19.7
from
gu aph we Ceeleulatke that
as dis tem ce of Pointx
E入o!s
from center of eriny the
12
Value of
electric field decrease.
る
3
2.5
3.5 u](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4df1ae9d-81b1-43f4-beb8-f4a94ce61cbc%2Fb3e5070f-8929-46c2-8432-e970421117d0%2Fvf3gyi9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solution
(C)
E = KQx
k = L
9 x10 9 w mtIce
= 2.25m
x²+q? = (Iis)?+(0.04)?
父 =1.5
,a = 0. O4
で)
E =
9 X 1o 9 X 1.5 Yux 10-)
521 x 109
(2.25 J3e
3. 3 8
E = I5.97X10C
こ(6
X 10
NIC
6 y.8 X 104
11.1 x lo4
at
父 = 1.8 m
*へ
E =
5.832
at x =
2.1 m ;
75.6 X 104
8. 15 X104NIC
ニ
9.2 7
at
= 2. u m E
86.4 X1
6.26 x lo° C
ニ
ニ
13.8
at
4.3 3 x 10" NIc
X = 2.7 m,
E =
97.2 x loY
ニ
19.7
from
gu aph we Ceeleulatke that
as dis tem ce of Pointx
E入o!s
from center of eriny the
12
Value of
electric field decrease.
る
3
2.5
3.5 u
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