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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 −2.40 μC/m and is parallel to the x-axis at y = 0.400 m. What is the net electric field (magnitude and direction) at the following points on the y-axis: (a) y = 0.200 m and (b) y = 0.600 m?
22.17. IDENTIFY: Add the vector electric fields due to each line of charge. E(r) for a line of charge is given by Example 22.6 and is directed toward a negative line of charge and away from a positive line.
SET UP: The two lines of charge are shown in Figure 22.17.
Figure 22.17
EXECUTE: (a) At point a,
(b) At point b,
E = E2 − E1 = 7.2×104 N/C, in the −y-direction.
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