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1) A cylinder of radius a = 8.7 cm and height h = 11.6 cm is aligned with its ax

ID: 2162859 • Letter: 1

Question

1) A cylinder of radius a = 8.7 cm and height h = 11.6 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 = 9.0 ?C/cm parallel to the y-axis is now added at x = 4.35 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 = -4.35cm.

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.






Help

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.