(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two rods, of lengths l1 and l2, have charges q1 and q2

a)Find the charges per unit length for each rod individually.

b)Find the charge per unit length, averaged over both rods.

c)Check your result for l1 approaching 0

d)Check your result for l1=l2

2. Relevant equations

q = integral dq = integral lamda(ds) = lamda integral ds = lamda(l)

avg lamda equvilant to q/l equals lamda(l)/(l) = lamda (for uniform charge)

if you know ^^^ then nonuniformly charged is pretty simple to know (integral (x= 0-l) cxdx)

3. The attempt at a solution

i'm not really having trouble with this problem, its that i'm not sure how much work it requires since i'm given bare bones to work with and questions surrounding this one, had integrals and charges on spheres annulus cylinders and what have you.

If i assume it is as easy as it looks

a) lamda1 = q1/l1 and lamda2 = q2/l2

b) lamda3 = (q1+q2)/(l1+l2)

c) lamda4 = (q1+q2)/(0+l2)

d) lamda5 = (q1+q2)/(2l)

so do you think it is that simple?

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# Electromagnetism linear charge density question

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