An infinite line of charge with charge density ? 1 = 2.2 ?C/cm is aligned with t
ID: 1274365 • Letter: A
Question
An infinite line of charge with charge density ?1 = 2.2 ?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 = 8.9 cm?
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 = 8.9 cm?
3)
A cylinder of radius a = 8.9 cm and height h = 8.9 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.
4)Another infinite line of charge with charge density ?2 = -6.6 ?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?
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 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?
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
For this question you want to use the equation for an infinite line of charge: E=2k(?/r)
Where k = 9x10^9.
Make sure you convert your numbers to ?1 = C/m and r = meters.
E = 2(9x10^9)((1.7x10^-4)/(.085))
Hope that helps