Question

# A very long uniform line of charge has charge per unit length 4.80 μC/m and lies...

A very long uniform line of charge has charge per unit length 4.80 μC/m and lies along the x-axis. A second long uniform line of charge has charge per unit length -2.32 μC/m and is parallel to the x-axis at y1 = 0.414 m .

Part A

What is the magnitude of the net electric field at point y2 = 0.214 mon the y-axis?

Part B

What is the magnitude of the net electric field at point y3 = 0.616 mon the y-axis?

A)

A line of charge having charge per unit length = p1 = 4.8 μC/m lies along the x-axis.

A second line of charge has charge per unit length = p2= -2.32 μC/m and is parallel to the x-axis at y1= 0.414m .

point y2= 0.214 m on the y-axis

y2 is between the lines.As one is +ive and the other is - ve, the field will be added up,it will be towards second -ve line

E =2k[ p1/r1 + p2/r2 ]

E =2*9*109[ 4.8 *10-6/0.214 +2.32 *10-6 /0.214 ]

E = 5.53*105 N/C

The direction of the net electric field at point y2= 0.214 m on the y-axis is along +y-axis

B) point y3= 0.616 m on the y-axis

At y3, the field are in opposite direction, the field due to positive is less than field due to negative

Total field will be difference of two fields

E = 2k[ p1/r1 - p2/r2 ]

E = 18*103[ 4.8 /0.616 - 2.32 /0.202]

E = -19.89*104 N/C

The direction of the net electric field at point y3 = 0.616 m on the y-axis is -y-axis

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