## A plasma is a gas of ionized (charged) particles. When plasma is in motion, magnetic effects “squeeze” its volume, inducing inward pressure

Question

A plasma is a gas of ionized (charged) particles. When plasma is in motion, magnetic effects “squeeze” its volume, inducing inward 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?

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3 years 2021-09-03T00:58:33+00:00 1 Answers 11 views 0

## Answers ( )

1. Answer:

a

The volume charge density is

b

The surface charge density is

Explanation:

From the question we are told that

The radius is  R

The length is L

The velocity is  v

The number of ions per unit volume is  n

The charge is  q

The thickness of the cylinder surface is

The volume charge density is mathematically represented as

The surface charge density is mathematically represented as

substituting for