Mendel Voltage

Mendel Voltage Applet

Jump to: Voltage Definition Output Format Notes

Calculate Voltage in MITL: top

Parameter

Value

Units

Special Values

Inputs:
I_A(anode current)

I_C(cathode current)

Z₀ (vacuum impedance)

G (space-charge adjustment) uniform for G=1

Outputs:

V (voltage)

Note: V = E_ag-SCC

E_ag (anode field * gap)

SCC (space-charge correction)

Definition:

Equation

Parameters

Diagram

g=anode-cathode gap
G=space-charge adjustment

Notes: top

Source: M. E. Savage, et al., "Time-resolved voltage measurements in terawatt magnetically insulated transmission lines", Rev. Sci. Inst., Dec.1990, Vol.61, pp.3812-3820
G term correction added on advice of Dr. Joseph Schumer. The modified SCC term =G*SCC. PIC simulations show that G is ~0.8 in a "true" self-limited case.

	Parameter	Value	Units	Special Values
Inputs:	I_A(anode current)
Inputs:	I_C(cathode current)
	Z₀ (vacuum impedance)
	G (space-charge adjustment)			uniform for G=1

Outputs:	V (voltage)			Note: V = E_ag-SCC
Outputs:	E_ag (anode field * gap)
	SCC (space-charge correction)

Equation	Parameters	Diagram
	g=anode-cathode gap G=space-charge adjustment

Calculate Voltage in MITL: top

Parameter

Value

Units

Special Values

Inputs:

Outputs:

Definition:

Equation

Parameters

Diagram

Output Format: top

Notes: top