Physics 1 Problem Solutions 246

Physics 1 Problem Solutions 246 - 8 Say you had a big ideal...

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242 Chapt. 31 Faraday’s Law of Induction and Inductors d) Say one connected the generator to a resistive load of 100 kΩ. What is the maximum power generated in a cycle? Since the load is resistive, there is no phase di±erence between emf and the current. e) What is the average power generated in a cycle given the 100 kΩ resistive load? HINT: You might ²nd the trigonometric identity sin 2 ( x ) = 1 2 [1 cos(2 x )] helpful. f) Say the magnetic ²eld was 1 gauss (10 4 T which is of order of the Earth’s magnetic ²eld), what would be the amplitude of the generated emf? 031 qfull 00590 2 3 0 mod math: energy density in a big solenoid
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Unformatted text preview: 8. Say you had a big ideal solenoid with an inductance of L = 10 6 H and volume of V vol = 125 m 3 . The current in the solenoid is I = 100 A. a) Calculate the magnetic ²eld energy density without calculating the B-²eld? HINT: This is easier than I thought. b) Calculate the number of turns per unit length in symbols representing knowns (i.e., L , V vol , and I ) and numerically. c) Calculate the magnetic ²eld in terms of symbols representing knowns and numerically. d) Now calculate the energy density from the magnetic ²eld itself. Does the answer agree with the part (a) answer?...
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This note was uploaded on 11/16/2011 for the course PHY 2053 taught by Professor Buchler during the Fall '06 term at University of Florida.

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