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An infinite line of charge with charge density ? 1 = 0.6 ?C/cm is aligned with t

ID: 2276134 • Letter: A

Question

An infinite line of charge with charge density ?1 = 0.6 ?C/cm is aligned with the y-axis as shown.

I got:

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 = 7.5 cm? 14400000 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 = 7.5 cm? 0 N/C

3) A cylinder of radius a = 7.5 cm and height h = 9.2 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. 623728 N-m2/C


I need help with:

4) Another infinite line of charge with charge density ?2 = -1.8 ?C/cm parallel to the y-axis is now added at x = 3.75 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 = -3.75cm.

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.

An infinite line of charge with charge density ?1 = 0.6 ?C/cm is aligned with the y-axis as shown. 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 = 7.5 cm? 14400000 N/C 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 = 7.5 cm? 0 N/C A cylinder of radius a = 7.5 cm and height h = 9.2 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. 623728 N-m2/C Another infinite line of charge with charge density ?2 = -1.8 ?C/cm parallel to the y-axis is now added at x = 3.75 cm as shown. 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. The initial infinite line of charge is now moved so that it is parallel to the y-axis at x = -3.75cm. What is the new value for Ex(P), the x-component of the electric field at point P? 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

1)

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)(14400000()/(.075))


2)

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)/(.075))


3)


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)(623728()/(.075)) (.092)