Latest revision as of 18:13, 31 May 2017

high energy density plasma is a plasma with pressure above 1 MBar

[math]B[T] = \mu I / ( 2\pi r ) [/math]

[math] P_m(bar) = 4 \times B(T)^2 [/math]
[math] P_m(bar) = 0.16 \times I(kA)^2 \times R(mm)^{-2} [/math]

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 [https://wiki.iac.isu.edu/index.php/RS#Pulsed-power_applications_.282-LTD-driver_and_more.29 go back]
-*high energy density plasma pressure
+=high energy density plasma is a plasma with pressure above 1 MBar=
 <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)
-<math>P_{magnetic} = \frac{I(A)}{5r(cm)}</math>
-**100 kA at 1 um radius is 200 MG
+=magnetic field produced by single wire (Biot-Savart Law)=
+ <math>B[T] = \mu I / ( 2\pi r ) </math>
+*10 MA at 4 mm radius is 500 T
+*100 kA at 40 um radius is 500 T
+*160 kA at 5 um radius is 6,400 T
+=magnetic pressure=
+ <math> P_m(bar) = 4 \times B(T)^2 </math>
+ <math> P_m(bar) = 0.16 \times I(kA)^2 \times R(mm)^{-2} </math>
+*10 MA at 4 mm radius is 1 MBar
+*100 kA at 40 um radius is 1 MBar
+*160 kA at 5 um radius is 164 MBar
+=Bennett condition=
+*magnetic pressure = plasmakinetic pressure
+*14 MBar at 140 kA at 15-um radius (shot 634 with 2x30-um W wires)
+*25 MBar at 150 kA at 12-um radius (shot 657 with 2x30-um Mo wires)
+*100 MBar at 154 kA at 6-um radius (shot 657 with 2x30-um Mo wires)
+=Links=
+*[http://www.nap.edu/read/10544/chapter/1 Frontiers in High Energy Density Physics THE X-GAMES OF CONTEMPORARY SCIENCE]