Consider a rectangular pipe with dimensions (Ax, Ay, Az), with insulating sidewalls (located at +Ax/2) and conducting top/bottom walls (located at ±Ay/2). Ionized, conducting plasma flows through the pipe with velocity v= v, î, and a uniform magnetic field is imposed: B = B, î. %D (a) What is the potential between the top and bottom walls of the pipe? (b) If the top and bottom walls are connected by a load resistance R, and the plasma has conductivity o, how much current is driven through the load?

Consider a rectangular pipe with dimensions (Ax, Ay, Az), with insulating sidewalls (located at +Ax/2) and conducting top/bottom walls (located at ±Ay/2). Ionized, conducting plasma flows through the pipe with velocity v= v, î, and a uniform magnetic field is imposed: B = B, î. %D (a) What is the potential between the top and bottom walls of the pipe? (b) If the top and bottom walls are connected by a load resistance R, and the plasma has conductivity o, how much current is driven through the load?