Question: The direct integration procedure also yields an expression for a rod of finite length (see Example 23.4). Can you use Gauss's law to derive this

The direct integration procedure also yields an expression for a rod of finite length (see Example 23.4). Can you use Gauss's law to derive this expression as well? Why or why not?

Data from Example 23.4

A thin rod of length $\ell$ carries a uniformly distributed charge $q$. What is the electric field at a point $\mathrm{P}$ along a line that is perpendicular to the long axis of the rod and passes through the rod's midpoint?

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