Calculate the Debye wavelength \p; the plasma parameter A, the plasma frequency wp, the collision frequency vei, the mean free path de between collisions, the Spitzer resistivity ns and the conductivity ơ of the following plasmas: a) Solar wind in the neighborhood of the Sun (n = 5 cm-3, T = 1.5×105 K).

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**Problem Statement**

Calculate the following parameters for different plasma environments:

1. Debye wavelength, \(\lambda_D\).
2. Plasma parameter, \(\Lambda\).
3. Plasma frequency, \(\omega_p\).
4. Collision frequency, \(\nu_{ei}\).
5. Mean free path, \(\lambda_e\) (between collisions).
6. Spitzer resistivity, \(\eta_S\).
7. Conductivity, \(\sigma\).

**Plasma Environments**

a) **Solar wind in the neighborhood of the Sun**:
   - Density: \(n = 5 \ \text{cm}^{-3}\)
   - Temperature: \(T = 1.5 \times 10^5 \ \text{K}\).

b) **An interstellar HII region**:
   - Density: \(n = 1000 \ \text{cm}^{-3}\)
   - Temperature: \(T = 10^4 \ \text{K}\).

c) **A supernova remnant**:
   - Density: \(n = 0.5 \ \text{cm}^{-3}\)
   - Temperature: \(T = 10^6 \ \text{K}\).
Transcribed Image Text:**Problem Statement** Calculate the following parameters for different plasma environments: 1. Debye wavelength, \(\lambda_D\). 2. Plasma parameter, \(\Lambda\). 3. Plasma frequency, \(\omega_p\). 4. Collision frequency, \(\nu_{ei}\). 5. Mean free path, \(\lambda_e\) (between collisions). 6. Spitzer resistivity, \(\eta_S\). 7. Conductivity, \(\sigma\). **Plasma Environments** a) **Solar wind in the neighborhood of the Sun**: - Density: \(n = 5 \ \text{cm}^{-3}\) - Temperature: \(T = 1.5 \times 10^5 \ \text{K}\). b) **An interstellar HII region**: - Density: \(n = 1000 \ \text{cm}^{-3}\) - Temperature: \(T = 10^4 \ \text{K}\). c) **A supernova remnant**: - Density: \(n = 0.5 \ \text{cm}^{-3}\) - Temperature: \(T = 10^6 \ \text{K}\).
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