Difference between revisions of "HEDP notes"

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*plasma magnetic pressure (Bennett equation)
+
*plasma pressure
  
<math> B^2 \simeq I^2 \times R^{-2} </math>
+
<math> P_{magnetic}[bar] = (2 \times B[T])^2 \sim I^2 \times R^{-2} </math>
  
 
<math> 5 \times 10^6 G = 1 MBar </math>
 
<math> 5 \times 10^6 G = 1 MBar </math>
  
 
<math> 200 \times 10^6 G = 80 MBar </math>
 
<math> 200 \times 10^6 G = 80 MBar </math>

Revision as of 19:39, 25 September 2015

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  • high energy density plasma pressure

[math]1 MBar = 1 \times 10^6 \times 10^5 Pa = 10^{11} Pa = 10^{11} (N m)/(m^2) = 10^{11} J/m = 10^{11} (10^7 erg)/(10^6 cm^3) = 10^{12} erg/cm^3[/math]


  • magnetic field produced by single wire (Ampere law / Biot-Savart Law)

[math]P_{magnetic} = \frac{I(A)}{5r(cm)}[/math]

100 kA at 1 um radius is 200 MG


  • plasma pressure

[math] P_{magnetic}[bar] = (2 \times B[T])^2 \sim I^2 \times R^{-2} [/math]

[math] 5 \times 10^6 G = 1 MBar [/math]

[math] 200 \times 10^6 G = 80 MBar [/math]