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A rod of length L = 85.0 cm lies along the x axis with its left end at the origin. It has a nonuniform charge density λ =αx, where α is a positive constant given by 5.80 μC/m2 .

Part A. Calculate the electric potential at the point on the y axis which is at a distance b = 27.0 cm above the x axis. Solve the problem symbolically before substituting any values.

Now use your expression from Part A to find the potential at these other locations on the y axis:

Part B. at y = 54.0 cm .

Part C. at y = 81.0 cm .

Part D. Do the proper derivative to find an expression for the y-component of the electric field at any location on the positive y axis. Then use that expression to calculate the y-component of the electric field at y = 54.0 cm .

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