What is the dispersion relation for an electromagnetic wave propagating through a cold, uniform plasma with an electron density ne, ion density ni, and assuming that the plasma is unmagnetized?

1
\(\omega^2 = \omega_{pe}^2 + \omega_{pi}^2 \)
2
\(\omega^2 = \omega_{pe}^2 + 3 \omega_{pi}^2 \)
3
\(\omega^2 = \omega_{pe}^2 - 3 \omega_{pi}^2 \)
4
\(\omega^2 = \omega_{pe}^2 - \omega_{pi}^2 \)
5
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