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## Homework Statement

A parallel-plate capacitor with cross-sectional area S and plate separation d is put into a stream of conducting liquid with resistivity [itex]\rho[/itex]. The liquid moves parallel to the plates with a constant velocity v, and the whole system is located in a uniform magnetic field of induction B, vector [itex]\textbf{B}[/itex] being parallel to the plates and perpendicular to the stream direction. The capacitor plates are interconnected by means of an external resistance R. What amount of power is generated in that resistance?

## Homework Equations

[tex]\rho J = E[/tex]

Maxwell's equations

## The Attempt at a Solution

I have no intuitive grasp of what's going on in this problem. My first guess was that the charges in the fluid are being pushed by the magnetic field, but what does that have to do with the current flowing through the resistor? I'm not sure why current is flowing through the resistor at all.

I can't really show work because I'm not sure where to start. Once I figure out what's going on, I can do the rest of this problem myself.

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