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 .