#68 Electric Field

A rod of L lies along the y-axis with its center at theorigin. The rod has a nonuniform linear charge density λ =a|y|, where a is a constant with the unitsC/m2.a. Draw a graph of λ versus y over the length of therod.b. Determine the constant a in terms of L and the rod's totalcharge Q.Hint: this requires an integration. Think about how to handlethe absolute value sign.c. Find the electric field strength of the rod at distance xon the x-axis.


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