In 1832, Faraday proposed that the apparatus shown in figure could be used to generate electric current from the water flowing in the Thames River.2 Two conducting plates of length a and width b are placed facing one another on opposite sides of the river, a distance w apart and immersed entirely. The flow velocity of the river is v, and the vertical component of Earth?s magnetic field is B.

(a) Show that the current in the load resistor R is 1 = abvB/? + abR/w where ? is the resistivity of the water.

(b) Calculate the short-circuit current (R = 0) if a = 100 m, b = 5.00 m, v = 3.00 m/s, B = 50.0 ?T, and ? = 100 ? ? m.

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پر کھائی R B