Two infinite line charges with uniform linear charge densities λ1 > 0 and λ2 < 0, are oriented parallel to the z-axis; see figure below. The first line charge intersects the x-axis at x = −3a while the other one at x = 9b, where a and b are both positive constants (in units of m). What is the net electric field at the origin due to these line charges?
Two infinite line charges with uniform linear charge densities λ1 > 0 and λ2 < 0, are oriented parallel to the z-axis; see figure below. The first line charge intersects the x-axis at x = −3a while the other one at x = 9b, where a and b are both positive constants (in units of m). What is the net electric field at the origin due to these line charges?
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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Question
Two infinite line charges with uniform linear charge densities λ1 >
0 and λ2 < 0, are oriented parallel to the z-axis; see figure below. The
first line charge intersects the x-axis at x = −3a while the other one at
x = 9b, where a and b are both positive constants (in units of m). What
is the net electric field at the origin due to these line charges?
![(A) E =
X1
1
X1 X2
20 3a 9b
.
2
X2
I](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5ce55f5-f377-4f27-be53-1c89b35bcde5%2Fb51c2512-980a-4ba9-aa23-31843686d0de%2Ffsjm2ieo_processed.png&w=3840&q=75)
Transcribed Image Text:(A) E =
X1
1
X1 X2
20 3a 9b
.
2
X2
I
![E =
(B) -
32
9b
.
2Teo ( 3a2
1
1766 ( 3a
1 31 32
+
27€o ( 3a
1 31
(C) E -- +
- 2 ( )
(E) E = 2
(D) E
=
9b
32
2Teg ( 3a
96²
96²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5ce55f5-f377-4f27-be53-1c89b35bcde5%2Fb51c2512-980a-4ba9-aa23-31843686d0de%2Fg6toi16_processed.png&w=3840&q=75)
Transcribed Image Text:E =
(B) -
32
9b
.
2Teo ( 3a2
1
1766 ( 3a
1 31 32
+
27€o ( 3a
1 31
(C) E -- +
- 2 ( )
(E) E = 2
(D) E
=
9b
32
2Teg ( 3a
96²
96²
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