Difference between revisions of "HEDP notes"
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[https://wiki.iac.isu.edu/index.php/RS#Pulsed-power_applications_.282-LTD-driver_and_more.29 go back] | [https://wiki.iac.isu.edu/index.php/RS#Pulsed-power_applications_.282-LTD-driver_and_more.29 go back] | ||
| − | + | =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> | <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>B[G] = \frac{I[A]}{5r[cm]}</math> | <math>B[G] = \frac{I[A]}{5r[cm]}</math> | ||
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| − | + | =magnetic pressure= | |
<math> P_{magnetic}[bar] = (2 \times B[T])^2 \sim I^2 \times R^{-2} </math> | <math> P_{magnetic}[bar] = (2 \times B[T])^2 \sim I^2 \times R^{-2} </math> | ||
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<math> 200 \times 10^6 G \Rightarrow 1,600 MBar </math> | <math> 200 \times 10^6 G \Rightarrow 1,600 MBar </math> | ||
| − | |||
| − | + | =Bennett condition= | |
| − | ** so our plasma pressure (at 100 kA at 1 um radius) is about 1,600 MBar (wau!! really??!!) | + | * magnetic pressure = plasmakinetic pressure |
| + | |||
| + | * so our plasma pressure (at 100 kA at 1 um radius) is about 1,600 MBar (wau!! really??!!) | ||
Revision as of 19:50, 25 September 2015
high energy density plasma pressure
magnetic field produced by single wire (Ampere law / Biot-Savart Law)
100 kA at 1 um radius is 200 MG
magnetic pressure
Bennett condition
- magnetic pressure = plasmakinetic pressure
- so our plasma pressure (at 100 kA at 1 um radius) is about 1,600 MBar (wau!! really??!!)