In 1832 Faraday proposed that the apparatus shown in Figure P31.28 could be used to generate electric cur- rent from the water flowing in the Thames River.“ Two conducting plates of lengths a and widths b are placed facing each other on opposite sides of the river, a dis- tance w apart, and are immersed entirely. The flow ve- locity of the river is v and the vertical component of the Earth's magnetic field is B. (a) Show that the current in the load resistor R is abvB I= p + abR/w where p is the electrical resistivity of the water. (b) Cal- culate the short-circuit current (R = 0) if a = 100 m, b = 5.00 m, v = 3.00 m/s, B = 50.0 µT, and p = 100 N·m.

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Chapter1: Units, Trigonometry. And Vectors
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In 1832 Faraday proposed that the apparatus shown in
Figure P31.28 could be used to generate electric cur-
rent from the water flowing in the Thames River.“ Two
conducting plates of lengths a and widths b are placed
facing each other on opposite sides of the river, a dis-
tance w apart, and are immersed entirely. The flow ve-
locity of the river is v and the vertical component of the
Earth's magnetic field is B. (a) Show that the current in
the load resistor R is
abvB
I=
p + abR/w
where p is the electrical resistivity of the water. (b) Cal-
culate the short-circuit current (R = 0) if a = 100 m,
b = 5.00 m, v = 3.00 m/s, B = 50.0 µT, and p =
100 N·m.
Transcribed Image Text:In 1832 Faraday proposed that the apparatus shown in Figure P31.28 could be used to generate electric cur- rent from the water flowing in the Thames River.“ Two conducting plates of lengths a and widths b are placed facing each other on opposite sides of the river, a dis- tance w apart, and are immersed entirely. The flow ve- locity of the river is v and the vertical component of the Earth's magnetic field is B. (a) Show that the current in the load resistor R is abvB I= p + abR/w where p is the electrical resistivity of the water. (b) Cal- culate the short-circuit current (R = 0) if a = 100 m, b = 5.00 m, v = 3.00 m/s, B = 50.0 µT, and p = 100 N·m.
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