Charge Q is distributed uniformly over a thin rod

  • Thread starter Evelima
  • Start date
  • #1
Evelima
2
0
Charge Q is distributed uniformly over a thin rod....

Homework Statement



Charge Q is distributed uniformly over a thin rod of
lying along the x-axis between points (a,0) and (b,0)
as shown. Please answer each of the following
questions.

a) What is the linear charge density on the rod?
b) Find the electric field at the origin.


Homework Equations


linear charge density = Q / l
E = k Q / rˆ2

The Attempt at a Solution



This is what I got so far ...

dQ = lambda*dx = Qdx/(b-a)

integral of E = k dQ/rˆ2 i
= integral from a to b of k*lambda*dx/xˆ2 = k*lambda*(-1/b+1/a)

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Delphi51
Homework Helper
3,407
11


Looks good. You get a nicer looking answer for b if you drop the lambda and express it in terms of the given Q, a and b. Get a common denominator for that nasty 1/a - 1/b.
 
  • #3
supratim1
Gold Member
279
1


yes, just proceed and replace lambda.
 

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