Problem A12:
Consider the long thin semi-infinite non-conducting rod shown in the figure above. It lies on the
x-axis with the left end located a distance n_{2}d from the origin. The linear charge
density of the rod decreases as 1/x^{n1} where x is the distance from the
origin. The expression for the linear
charge density is &lambda = C/x^{n1}, where C is a constant. What is the
magnitude of the electric field at the origin? That is if |E| = (1/n_{3})
kC/d^{n1+1}, what is n_{3}?

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