Homework #4 Problems 1. Consider the simplified MHD equations for a steady-state hot plasma in the absence of gravity. A

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Homework 4 Problems 1 Consider The Simplified Mhd Equations For A Steady State Hot Plasma In The Absence Of Gravity A 1 (41.43 KiB) Viewed 79 times

Homework #4 Problems 1. Consider the simplified MHD equations for a steady-state hot plasma in the absence of gravity. A cylindrical column of hot plasma with radius a contain a coaxial external magnetic field, B=(0,0,B.), and it has a radially varying pressure profile given by p = pocos(nr/2a) where r is the radial distance form the axis). To counteract the pressure gradient there must be an azimuthal diamagnetic current in this system (i.e., the system is force- balanced). a. What is the maximum possible value of the constant po b. Using the maximum value of Po, calculate the diamagnetic current, j, and the total magnetic field, B.