# Writing Charge Densities

## The Prompt

“Write the charge density that is defined by”:

$$\rho = \begin{cases} 0, & \text{if z > L} \\ 12, & \text{if -L < z < L}\\ 0, & \text{if z < -L} \end{cases}$$

## Context

This SWBQ opens up conversation on how to mathematically represent a charge density defined by a piecewise function.

## Wrap Up

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