Line Charge and Charged Cylindrical Shell (Gauss law)

  • Thread starter Sneakatone
  • Start date
  • #1
318
0

Homework Statement


An infinite line of charge with linear density λ1 = 6.2 μC/m is positioned along the axis of a thick insulating shell of inner radius a = 2.7 cm and outer radius b = 4.4 cm. The insulating shell is uniformly charged with a volume density of ρ = -552 μC/m3.


1) What is λ2, the linear charge density of the insulating shell?
-2.093 μC/m
2) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 7.5 cm along the y-axis from the line of charge?
0 N/C

3) What is Ey(P), the value of the y-component of the electric field at point P, located a distance 7.5 cm along the y-axis from the line of charge?

Homework Equations





The Attempt at a Solution



number 3 is the one I am stuck on. I used gauss law and ended with the equation E(x)=landa/(2pi (8.85*10^-12 * r) and got 503541.06 N/C but it seems to be wrong.
 
Last edited:

Answers and Replies

  • #2
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
35,220
6,307
number 3 is the one I am stuck on. I used gauss law and ended with the equation E(x)=landa/(2pi (8.85*1-^-12 * r) and got 503541.06 N/C but it seems to be wrong.
I get nearly double that. Please post your working.
 
  • #3
BruceW
Homework Helper
3,611
119
ah! you beat me to it haruspex
 
  • #4
318
0
I used gauss law
integral(E*dA)=q_in/epsilon
LHS E∫dA RHS ∫(from 0 to h) (λ1*dz)/(ε0)
2pi*dx*h*E= (λ1*h)/ε0
E=λ/(2*∏*ε0*dR)
 
  • #5
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
35,220
6,307
Yes, those are the equations, but I asked to see the working. can't tell where you're going wrong without that. you are adding the fields for the two charges, right?
 

Related Threads on Line Charge and Charged Cylindrical Shell (Gauss law)

Replies
7
Views
35K
  • Last Post
Replies
1
Views
15K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
9
Views
10K
  • Last Post
Replies
10
Views
2K
  • Last Post
Replies
1
Views
4K
Replies
4
Views
4K
Replies
5
Views
5K
  • Last Post
Replies
4
Views
10K
Replies
8
Views
1K
Top