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 v velocity 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. Part A What is the volume charge density p in terms of n and q? p = ng Submit Previous Answers ✓ Correct Review | Constants T The thickness of the cylinder "surface" is n 1/3. What is the surface charge density σ in terms of n and q? Part B σ 23 Part C The current density inside the cylinder is J = pv. Use this result along with Ampere's law to determine the magnetic field on the surface of the cylinder. Denote the circumferential unit vector as 4. Express your answer in terms of the variables μo, n, q, v, and R. B = Ruonqu 2 Part D The width of a differential strip of surface current is R do. What is the differential current dI surface that flows along this strip? Express your answer in terms of the variables n, q, v, R, and do. dI = Raudon Part E What differential force is felt by this strip due to the magnetic field generated by the volume current? Express your answer in terms of the variables μo, n, q, v, L, R, and do. ΜΕ ΑΣΦ ? dF =