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Using Maxwell's equations it can be shown that electromagnetic waves have a speed in free space of O (EOHO) 3/2. O EoHo- O (EOHO) 1/2. O (EOHO).

Using Maxwell's equations it can be shown that electromagnetic waves have a speed in free space of O (EOHO) 3/2. O EoHo- O (EOHO) 1/2. O (EOHO).

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**Electromagnetic Wave Speed Derivation from Maxwell's Equations** Using Maxwell's equations, it can be shown that electromagnetic waves have a speed in free space of: - \(\left( \epsilon_0 \mu_0 \right)^{-3/2}\) \( \circ \) - \(\epsilon_0 \mu_0\) \( \circ \) - \(\left( \epsilon_0 \mu_0 \right)^{-1/2}\) \( \circ \) - \(\left( \epsilon_0 \mu_0 \right)^{-1}\) \( \circ \) - \(\left( \epsilon_0 \mu_0 \right)^{-2}\) \( \circ \) **Explanation:** - \(\epsilon_0\) is the permittivity of free space. - \(\mu_0\) is the permeability of free space. The answer can be derived from the relationship demonstrated through Maxwell's equations, specifically using physical constants for the speed of light \(c\) in a vacuum: \[ c = \frac{1}{\sqrt{\epsilon_0 \mu_0}}. \] The correct choice in this context is \(\left( \epsilon_0 \mu_0 \right)^{-1/2}\).
Transcribed Image Text:**Electromagnetic Wave Speed Derivation from Maxwell's Equations** Using Maxwell's equations, it can be shown that electromagnetic waves have a speed in free space of: - \(\left( \epsilon_0 \mu_0 \right)^{-3/2}\) \( \circ \) - \(\epsilon_0 \mu_0\) \( \circ \) - \(\left( \epsilon_0 \mu_0 \right)^{-1/2}\) \( \circ \) - \(\left( \epsilon_0 \mu_0 \right)^{-1}\) \( \circ \) - \(\left( \epsilon_0 \mu_0 \right)^{-2}\) \( \circ \) **Explanation:** - \(\epsilon_0\) is the permittivity of free space. - \(\mu_0\) is the permeability of free space. The answer can be derived from the relationship demonstrated through Maxwell's equations, specifically using physical constants for the speed of light \(c\) in a vacuum: \[ c = \frac{1}{\sqrt{\epsilon_0 \mu_0}}. \] The correct choice in this context is \(\left( \epsilon_0 \mu_0 \right)^{-1/2}\).
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