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Homework, set 1

 

1. Calculate plasma parameters for various plasmas considered during the lecture (various components of ISM, Sun, and other stars).

2. Calculate numeric pre-exponential coefficient in the Saha equation. Find temperature at which the hydrogen has 50% degree of ionization. What temperature increase will result in almost full (say, 99%) ionization?

 

•3. Assuming the magnetic field of the Galaxy is about 10 mkG, and size of 20 kpc, find for what energy of electron (proton) the Larmour radius will be equal to the Galaxy size.

4. Find the condition when the Larmour radius is equal to de Broglie wavelength.

 

•5. Calculate the particle trajectory when electric field is parallel to the magnetic field.

 

•6. Derive formulae for gradient drift.