An infinite line of charge with charge density ?1 = -3.3 ?C/cm is aligned with t

Question

An infinite line of charge with charge density ?1 = -3.3 ?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 = 8.5 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 = 8.5 cm? 3)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. 4)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

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)((3.3x10^-4)/(.085))

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