Electric Flux through Cylindrical Surface

[dcco]

An infinite line of charge with charge density λ1 = -5 μC/cm is aligned with the y-axis as shown.

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).

 

[vela]

An infinite line of charge with charge density λ1 = -5 μC/cm is aligned with the y-axis as shown.

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).

 

[dcco]

Oh I see, I messed up my calculations but now I fixed it and it worked this time. Thank you for your help!