A cylinder of radius a = 8.5 cm and height h = 11.4 cm is aligned with its axis

Question

A cylinder of radius a = 8.5 cm and height h = 11.4 cm is aligned with its axis along the y-axis as shown. What is the total flux ? that passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder. Another infinite line of charge with charge density ?2 = 9.9 ?C/cm parallel to the y-axis is now added at x = 4.25 cm as shown. What is the new value for Ex(P), the x-component of the electric field at point P? 5) What is the total flux ? that now passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder. 6) The initial infinite line of charge is now moved so that it is parallel to the y-axis at x = -4.25cm. What is the new value for Ex(P), the x-component of the electric field at point P? 7) What is the total flux ? that now passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder

Explanation / Answer

A cylinder of radius a = 6.1 cm and height h = 9.7 cm is aligned with its axis along the y-axis. An infinite line of charge is placed at x=3.05cm where 1 = -2 C/cm and 2 = 6 C/cm at x=-3.05 cm. Point P is located at x = 6.1 cm.
What is the value for Ex(P), the x-component of the electric field at point P?

2. Relevant equations
EdA=Qenc/o

3. The attempt at a solution
I have calculated the Qenc which I think should just be 1 + 2 = 4E-4 C/m, and the radius of my gaussian surface is just .0305 m. So I try E = [(1 + 2)/ (2pi(8.85E-12)(.0305)] and that didn't work. I also tried to take each charge separately and calculate it based on their individual radius' if you were to take the gaussian surface looking at just 1 and then 2 but this isn't working for me either. I'm confused because I thought that you just have to calculate the Qenclosed, and both charges are enclosed in the cylinder and you just have to calculate the gaussian surface with respect to the radius that you want your point to be enclosed in. A little insight and help would be much appreciated! Thanks.

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