Difference between revisions of "HEDP notes"
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=high energy density plasma pressure= | =high energy density plasma pressure= | ||
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<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)= | =magnetic field produced by single wire (Ampere law / Biot-Savart Law)= | ||
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<math>B[G] = \frac{I[A]}{5r[cm]}</math> | <math>B[G] = \frac{I[A]}{5r[cm]}</math> | ||
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100 kA at 1 um radius is 200 MG | 100 kA at 1 um radius is 200 MG | ||
=magnetic pressure= | =magnetic pressure= | ||
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<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> 5 \times 10^6 G \Rightarrow 1 MBar </math> | <math> 5 \times 10^6 G \Rightarrow 1 MBar </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= | =Bennett condition= | ||
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* magnetic pressure = plasmakinetic pressure | * magnetic pressure = plasmakinetic pressure | ||
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* so our plasma pressure (at 100 kA at 1 um radius) is about 1,600 MBar (wau!! really??!!) | * so our plasma pressure (at 100 kA at 1 um radius) is about 1,600 MBar (wau!! really??!!) | ||
Revision as of 19:51, 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??!!)