Physics 1 Problem Solutions 242

# Physics 1 Problem Solutions 242 - 238 Chapt 31 Faraday’s...

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Unformatted text preview: 238 Chapt. 31 Faraday’s Law of Induction and Inductors 29. ∗∗∗ Consider a bike electric generator that powers a headlight. The emf of the generator is given by E = NABω gen sin( ω gen t ) , where N = 100 is the number of turns in the generator coil, A = 1 . 2 × 10 − 3 m 2 is the coil area, B = 0 . 10 T is the magnitude of the magnetic field in the generator, ω gen is the angular velocity of the the generator coil, and t is time. The maximum emf E max = 4 . 0 V. The generator is cranked by a small wheel of radius r gen = 0 . 020 m that is driven by the bike wheel of radius r bike . There is a no-slip condition between the two wheels and the bike wheel and the ground. What is the translational speed of the bike? a) 5 . 0 m / s. b) 4 . 5 m / s. c) 3 . 5 m / s. d) 6 . 7 m / s. e) 7 . 2 m / s. Full-Answer Problems 031 qfull 00310 2 3 0 moderate math: motional emf for circular contour 1. Since the motional emf Faraday’s law is not actually a law but a derived result that does not1....
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