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An infinite line of charge with charge density λ1 = 1.4 μC/cm is aligned with the...

An infinite line of charge with charge density λ1 = 1.4 μC/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 = 8.2 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 = 8.2 cm?

3)A cylinder of radius a = 8.2 cm and height h = 10 cm is aligned with its axis along the y-axis as shown. What is the total flux Φ 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 λ2 = -4.2 μC/cm parallel to the y-axis is now added at x = 4.1 cm. What is the new value for Ex(P), the x-component of the electric field at point P?

5) What is the total flux Φ 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 = -4.1cm. What is the new value for Ex(P), the x-component of the electric field at point P?

7)What is the total flux Φ 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.

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