The electric potential due to a point charge is expressed as:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{k}\mathbf{q}}{\mathbf{r}}}$, where q is the source charge and r is the distance of the charge from the point.

The electron's potential energy:

$\overline{){\mathbf{U}}{\mathbf{=}}{\mathbf{Q}}{\mathbf{V}}}$

**a.**

We'll consider this situation to be similar to that of a point charge kept at the center of the sphere.

In a semiclassical model of the hydrogen atom, the electron orbits the proton at a distance of 0.053 nm.

a. What is the electric potential of the proton at the position of the electron?

b. What is the electron's potential energy?

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