A very long uniform line of charge has charge per unit length 4.56 and lies alon

Question

A very long uniform line of charge has charge per unit length 4.56 and lies along the x-axis. A second long uniform line of charge has charge per unit length -2.34 and is parallel to the x-axis at = 0.420 .


Part A

What is the magnitude of the net electric field at point = 0.218 on the y-axis?


Part B:
What is the direction of the net electric field at point = 0.218 on the y-axis?


Part C:
What is the magnitude of the net electric field at point = 0.620 on the y-axis?


Part D:
What is the direction of the net electric field at point = 0.620 on the y-axis?

Explanation / Answer

1 = 4.56

2 = -2.34

d = .42

A) At y = .218

Electric field = (1/2y) + (2/2(d-y))

Solving we get

E = 5.85*10^11 N/C (Assuming all values in SI unit)

B) Direction = Towards the negative line charge

C) At y = 6.20

Electric Field = (1/2y) - (2/2(y-d))

Solving we get E = 6.197*10^9 N/C

D) Direction towards the Positive Y Axis

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