I have a question regarding Magnetic Fields

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A superheated iron ball in motion within a heated, ultra-pressurized plasma globe could potentially generate a magnetic field similar to Earth's, depending on the dynamics of the system. The interaction between the moving iron and the plasma could mimic the geodynamo effect, which is responsible for Earth's magnetic field. Maintaining the iron ball's position under pressure is crucial for achieving the desired magnetic field characteristics. The concept explores the relationship between temperature, pressure, and motion in magnetic field generation. Overall, this thought experiment highlights the complexities of magnetic field dynamics in astrophysical contexts.
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If you were to take a superheated iron ball (say a heavily scaled down version of the Earth's core) and set it in motion inside of a heated and ultra-pressurized plasma globe with another light hard coating ontop of it also set in motion, would that generate a magnetic field similar in shape to Earth's if it was done in a vacuum? I'm trying to think of something similar to this that generates a magnetic field...I kind of have the vision of a ball being kept heated by the pressure and the heat of plasma (or magma in a literal sense) with another shell outside of it keeping it all together under pressure so that the ball stays equal in the center. This is not a homework question, its just for my own curiosity about magnetic fields (shape, size, generation).

I'm fairly new to astronomy so be gentle.
 
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Looks cool, thanks for the info.
 

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Susskind (in The Theoretical Minimum, volume 1, pages 203-205) writes the Lagrangian for the magnetic field as ##L=\frac m 2(\dot x^2+\dot y^2 + \dot z^2)+ \frac e c (\dot x A_x +\dot y A_y +\dot z A_z)## and then calculates ##\dot p_x =ma_x + \frac e c \frac d {dt} A_x=ma_x + \frac e c(\frac {\partial A_x} {\partial x}\dot x + \frac {\partial A_x} {\partial y}\dot y + \frac {\partial A_x} {\partial z}\dot z)##. I have problems with the last step. I might have written ##\frac {dA_x} {dt}...
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Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'

Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'

I am reading the Griffith, Electrodynamics book, 4th edition, Example 4.8. I want to understand some issues more correctly. It's a little bit difficult to understand now. > Example 4.8. Suppose the entire region below the plane ##z=0## in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility ##\chi_e##. Calculate the force on a point charge ##q## situated a distance ##d## above the origin. In the page 196, in the first paragraph, the author argues as follows ...
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