Why is there a limit to producing high magnetic fields?

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Producing magnetic fields greater than 10 Tesla poses significant challenges primarily due to extreme stresses and heating associated with the required equipment. In steady-state conditions, the outward magnetic pressure in a solenoid can reach around 400 atmospheres, which introduces serious theoretical limitations on the materials and design of the electromagnets. While pulsed magnetic fields of approximately 30 Tesla are achievable for short durations, maintaining such intensity continuously remains problematic due to these physical constraints.
heman
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Hi,

My problem is very basic.i want to know why we can't produce preferably more than 10 T Magnetic field and why?
 
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Electromagnets are often solenoids, long cylindrical coils of wire. The outward magnetic pressure in a 10 tesla solenoid is I believe 400 atmospheres. Very serious theoretical limitations.
 
thx very much tide and crosson..i got that...
 
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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