Consider a crossed$-$field two$-$dimensional electromagnetic accelerator. The propellant flow begins with negligible velocity and is accelerated to $25,000$ meters per second at the exit of the thruster. The exit plane pressure is $0\mathrm{.}01$ atmosphere while the ambient pressure is zero. Xenon gas with molecular weight of $54$ and $=5/3$ is the propellant. The gas temperature $($T $=3,000$ K$)$ and the cross$-$sectional flow area are constant with downstream distance. The electric field is directed transverse to the flow with B $=1\mathrm{.}8$ webers per square meter. The conductivity $=1800$ per ohm$-$meter. Neglect Hall current. Determine a$)$ the electric field E in units of volts per meter at the exit; b$)$ the current density jy at the exit in units of coulombs per meter squared per second; c$)$ the Lorentz force in units of newtons per cubic meter. Note that one weber $=$ Newton$-$second$-$meter per coulomb; one ohm $=$ volt$-$sec per coulomb; and one joule $=$ Newton$-$meter $=$ volt$-$coulomb.