# Problem: A very long uniform line of charge has a charge per unit length 4.84 μC/m and lies along the x-axis. A second long uniform line of charge has a charge per unit length -2.36 μC/m and is parallel to the x-axis at y1 = 0.390.A) What is the magnitude of the net electric field at point y2 = 0.202 m on the y-axis?B) What is the direction of the net electric field at point y2 = 0.202 m on the y-axis?C) What is the magnitude of the net electric field at point y3 = 0.582 m on the y-axis?D) What is the direction of the net electric field at point y 3 = 0.582 m on the y-axis?

###### FREE Expert Solution

The electric field of a very long uniform rod at a distance r from the line with a linear charge density, λ is given by:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{\lambda }}{\mathbf{2}\mathbf{\pi }{\mathbf{\epsilon }}_{\mathbf{0}}\mathbf{r}}}$

84% (307 ratings) ###### Problem Details

A very long uniform line of charge has a charge per unit length 4.84 μC/m and lies along the x-axis. A second long uniform line of charge has a charge per unit length -2.36 μC/m and is parallel to the x-axis at y= 0.390.

A) What is the magnitude of the net electric field at point y2 = 0.202 m on the y-axis?

B) What is the direction of the net electric field at point y2 = 0.202 m on the y-axis?

C) What is the magnitude of the net electric field at point y3 = 0.582 m on the y-axis?

D) What is the direction of the net electric field at point y 3 = 0.582 m on the y-axis?

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