1) A cylinder of radius a = 8.9 cm and height h = 9.9 cm is aligned with its axi

Question

1) A cylinder of radius a = 8.9 cm and height h = 9.9 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.
2) Another infinite line of charge with charge density ?2 = 8.4 ?C/cm parallel to the y-axis is now added at x = 4.45 cm as shown.
What is the new value for Ex(P), the x-component of the electric field at point P?
3) 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.
4) The initial infinitie line of charge is now moved so that it is parallel to the y-axis at x = -4.45cm.
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.

Explanation / Answer

E*dA=qencl/e 3. The attempt at a solution I was able to correctly find the net E along x for point P and I was also able to find the flux for the centered line for the cylinder but once the second line was added I wasn't sure where to go from there because E is no longer constant around the cyclinder. I am sure I am missing something very fundamental but I can't wrap my mind around what that is.

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