A very long uniform line of charge has a charge per unit length of 4.82 uC/m

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SUMMARY

The discussion focuses on calculating the net electric field at specific points along the y-axis due to two parallel lines of charge. The first line has a charge density of 4.82 µC/m, while the second line has a charge density of -2.46 µC/m, positioned at y1 = 0.418 m. The participants aim to determine both the magnitude and direction of the electric field at points y2 = 0.202 m and y3 = 0.608 m. Key equations used include EA = PA/ε₀ and E = kq/r², highlighting the need for integration to find the total electric field.

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Homework Statement


A very long uniform line of charge has charge per unit length 4.82 uC/m and lies along the x-axis. A second long uniform line of charge has charge per unit length -2.46 uC/m and is parallel to the x-axis at y1= 0.418
1-)What is the magnitude of the net electric field at point y2= 0.202 m on the y-axis?
2-)What is the direction of the net electric field at point y2= 0.202 m on the y-axis?
-y-axis
+y-axis
3-)What is the magnitude of the net electric field at point y3= 0.608 m on the y-axis?
4-)What is the direction of the net electric field at point y3 = 0.608 m on the y-axis?
-y-axis
+y-axis


Homework Equations



EA=PA/epsilon-nought
E=kq/r2


The Attempt at a Solution



I don't really know where to start.
At first I tried to do E=(k*dq)/r^2 = k(4.82e-6)/(x^2+.202^2)
But then realized that I don't have a definite integral. Then I tried to use E=(kq1/r1)+(kq2/r2)... but the answer was incorrect. Anyone know how to start this problem..?
 
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