Flow of an Incompressible Fluid in a Hydromagnetic Capacitor

An incompressible electrically conducting fluid is contained in a torus of rectangular cross section. A uniform magnetic field is maintained along the polar axis of the tube. A radial electric field is suddenly applied, causing the fluid to flow through the tube. Over-all properties such as the time required to reach steady state, resistance and capacitance are calculated, and an equivalent electrical circuit is given.