Induction in moving conductors Derivation Whiteboards The bar
Induction in moving conductors • Derivation • Whiteboards
The bar moves to the right at 2. 0 m/s, and the loop is 1. 5 m wide. What EMF is generated, and which direction is the current? x x x x x 9. 6 V, acw x x x x 1. 5 x x x x x m x x x x 2. 0 m/s x x x x x x x x B = 3. 2 T x x x x x
Faraday’s Law: = Bvl = -N t = BAcos Derive x x x x x x x x x x lx x x • B = mag field in T • v = velocity of conductor in m/s • l = length of conductor in m • show direction with x product x x x x x x x v x x x x x x x x x
Whiteboards - Bvl
The wire moves to the right at 12. 5 m/s. What is the EMF generated? Which end of the wire is the + end? . . . 11 V , Bottom . . . . 50. . cm. . . . 12. 5. m/s. . . =. Bvl. . . =. (1. 7. . T)(12. 5. . m/s)(. 50. . . B = 1. 7 T = 10. 625 V = 11 V m)
How long does the wire need to be to generate a potential of 45 V from one end to the other? What end is positive? -5 B = 3. 7 x 10 T 5, 680 m/s 210 m, bottom x x x x x x x x x x x x x x x x x x. X m x x x x x x = x Bvl x x x -5 x x 45 x. V= x (3. 7 x xx 10 x x. T)(5680 xl =x 214. 12 x x m x =x 210 x m m/s)l
The wire has a potential of. 215 V, and the right end is positive. What is the magnetic field, and which direction is it? 175. cm B = ? ? 2. 45 m/s = Bvl. 215 V = B(2. 45 m/s)(1. 75 m) B = 0. 050145773 =. 0501 T , into page
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