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jekas
1 month ago
9

A plasma is a gas of ionized (charged) particles. When plasma is in motion, magnetic effects "squeeze" its volume, inducing inwa

rd pressure known as a pinch. Consider a cylindrical tube of plasma with radius R and length L moving with velocity v along its axis. If there are n ions per unit volume and each ion has charge q , we can determine the pressure felt by the walls of the cylinder.
Required:
a. What is the volume charge density p in terms of n and q?
b. The thickness of the cylinder surface is n^1/3. What is the surface charge density σ in terms of n and q?
Physics
1 answer:
Softa [3K]1 month ago
5 0

Answer:

 a

    The density of volume charge is  \rho = nq

b

    The density of surface charge is  \sigma = n^{\frac{2}{3} } q

Explanation:

The question states that

    The radius measures  R

     The length is L

       The speed is  v

        The ion count per unit volume is  n

         The charge per ion is  q

          The surface thickness of the cylinder is  n^{\frac{1}{3} }

The volume charge density is mathematically expressed as

      \rho = nq

The surface charge density is mathematically expressed as

    \sigma = \rho n^{\frac{1}{3} }

substituting for  \rho

     \sigma = n * n^{\frac{1}{3} } q

     \sigma = n^{\frac{2}{3} } q

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