An infinite line of charge with charge density ? 1 = 3.2 ?C/cm is aligned with t
ID: 1275080 • Letter: A
Question
An infinite line of charge with charge density ?1 = 3.2 ?C/cm is aligned with the y-axis as shown.
1)
What is Ex(P), the value of the x-component of the electric field produced by by the line of charge at point P which is located at (x,y) = (a,0), where a = 9.7 cm?
N/C
2)
What is Ey(P), the value of the y-component of the electric field produced by by the line of charge at point P which is located at (x,y) = (a,0), where a = 9.7 cm?
N/C
3)
A cylinder of radius a = 9.7 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.
N-m2/C
4)
Another infinite line of charge with charge density ?2 = -9.6 ?C/cm parallel to the y-axis is now added at x = 4.85 cm as shown.
What is the new value for Ex(P), the x-component of the electric field at point P?
N/C
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.
N-m2/C
6)
The initial infinite line of charge is now moved so that it is parallel to the y-axis at x = -4.85cm.
What is the new value for Ex(P), the x-component of the electric field at point P?
N/C
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.
N-m2/C
Explanation / Answer
Relevant equations
?E*dA=qencl/?
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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