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MAE 112 Propulsion
Homework Assignment #8
Due: Wednesday, March 10, 2010
1. Consider a crossedfield twodimensional electromagnetic accelerator. Argon gas with
molecular weight of 40 and
= 5/3 is the propellant. The gas temperature (
T
= 8750 K)
and the crosssectional flow area are constant with downstream distance. The electric
field is directed transverse to the flow with
E
= 6300 volts per meter.
.
The conductivity
= 1900 per ohmmeter.
Note that one weber = Newtonsecondmeter per coulomb;
one ohm = voltsec per coulomb; and one joule = Newtonmeter = voltcoulomb.
Hall
current is negligible here. At the position in the flow where the velocity
u
= 40,000
meters per second, determine
a) the magnetic field
B
in units of webers per square meter;
b) the current density
j
in units of coulombs per meter squared per second; and
c) the Lorentz force in units of newtons per cubic meter.
2.
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 Winter '09
 LaRue
 Thermodynamics, Energy, Magnetic Field, Fundamental physics concepts, Mass flow rate

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