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1. A cylinder of radius a = 7 cm and height h = 10.5 cm is aligned with its axis

ID: 1406194 • Letter: 1

Question

1. A cylinder of radius a = 7 cm and height h = 10.5 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 = 0.3 C/cm parallel to the y-axis is now added at x = 3.5 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 infinite line of charge is now moved so that it is parallel to the y-axis at x = -3.5cm.

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.

Explanation / Answer

1)

using gauss law

net flux through surface = charge inside/epsilon0

net flux = lamda1*h/(epsilon0)

net flux = lamda1*0.105/(8.854 *10^12) N*m^2/C

the net flux through the surface is lamda1*0.105/(8.854 *10^12) N*m^2/C