Potential energy between two charges is expressed as:

$\overline{){\mathbf{P}}{\mathbf{.}}{\mathbf{E}}{\mathbf{=}}\frac{\mathbf{k}{\mathbf{q}}_{\mathbf{1}}{\mathbf{q}}_{\mathbf{2}}}{\mathbf{r}}}$

**Part D**

When charge 2*q* has gotten a very large distance from the other charges, the final kinetic energy is equal to the initial potential energy.

The potential energy due to the charge 2q interacting with other charges is found as:

Four point charges form a square with sides of length *d*, as shown in the figure. In the questions that follow, use the constant *k* in place of 1/(4*π**ϵ*_{0}).

**Part D**

What would be the kinetic energy *K*_{2q} of charge 2*q* at a very large distance from the other charges?

Express your answer in terms of *q*, *d*, and appropriate constants.

**Part E**

What will be the potential energy *U*_{tot} of the system of charges when charge 2*q* is at a very large distance from the other charges?

Express your answer in terms of *q*, *d*, and appropriate constants.

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