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# Charges and Their Interactions

The motion of charged matter underlies many things we enjoy like phones and plasma globes. It also puts a permanent end to the enjoyment of some 6,000 people per year, as fatal lightning strikes.

An electron floats at rest above a sheet of charge with uniform charge density \(\sigma\). What is \(\sigma\) in **\(\mbox{C/m}^2\)**?

**Details and assumptions**

- The mass of the electron is \(9.1 \times 10^{-31}~\mbox{kg}\).
- The electric charge on the electron is \(-1.6 \times 10^{-19}~\mbox{C}\).
- The acceleration due to gravity is \(-9.8~\mbox{m/s}^2\).
- The vacuum permittivity is \(\epsilon_0=8.85 \times 10^{-12}~\mbox{F/m}\).

Assume that \(\sqrt{3} = 1.5 \)

Assume that \(\sqrt{3} = 1.5 .\)

Assume that \(\sqrt{3} = 1.5 \)

There is no gravitational field present.

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