Electric Flux through Cylindrical Surface

AI Thread Summary
The discussion revolves around calculating electric flux through a cylindrical surface due to an infinite line of charge with a specified charge density. Participants emphasize the importance of using Gauss' Law, which involves calculating the total enclosed charge and dividing by epsilon naught. There is a mention of potential issues with unit conversions that could lead to incorrect results. One user initially struggles with the setup but ultimately resolves their issues after receiving guidance. The conversation highlights the need for clear step-by-step explanations for solving similar problems effectively.
dcco
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An infinite line of charge with charge density λ1 = -5 μC/cm is aligned with the y-axis as shown.

dsB0K.png


I am pretty sure you are supposed to use Gauss' Law so I tried just calculating the total enclosed charge and dividing it by epsilon naught, but it's not working. I think maybe I have to use the LHS in some way, but I really have no clue how.

If someone could give a step-by-step explanation as to how to set up the equations in a general way I would be very happy. I don't need exact numbers I just need to know how to solve this (because I have a lot of other problems that I need to solve as well and I can't seem to set any of them up properly).
 
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dcco said:
An infinite line of charge with charge density λ1 = -5 μC/cm is aligned with the y-axis as shown.

dsB0K.png


I am pretty sure you are supposed to use Gauss' Law so I tried just calculating the total enclosed charge and dividing it by epsilon naught, but it's not working. I think maybe I have to use the LHS in some way, but I really have no clue how.
Well, that's the correct way to solve the problem. You might just be messing up the unit conversions.
If someone could give a step-by-step explanation as to how to set up the equations in a general way I would be very happy. I don't need exact numbers I just need to know how to solve this (because I have a lot of other problems that I need to solve as well and I can't seem to set any of them up properly).
 
Oh I see, I messed up my calculations but now I fixed it and it worked this time. Thank you for your help!
 
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