In the figure short sections of two very long parallel lines of charge are shown

Question

In the figure short sections of two very long parallel lines of charge are shown, fixed in place, separated by L = 32.0 cm. The uniform linear charge densities are +8.3 uC/m for line 1 and -3.2 uC/m for line 2. Where along the x axis shown is the net electric field from the two lines zero?

In the figure short sections of two very long parallel lines of charge are shown, fixed in place, separated by L = 32.0 cm. The uniform linear charge densities are +8.3 uC/m for line 1 and -3.2 uC/m for line 2. Where along the x axis shown is the net electric field from the two lines zero?

Explanation / Answer

L = 32cm
?1 = +8.3 ?C/m
?2 = -3.2 ?C/m

For a line of charge, the perpendicular area which is a distance r from a wire is a cylinder 2?rl
where l is the length of the wire
so you have from guass law
?E

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