W9_parallel_resonance.eps
Week 8: Faraday’s Law and Induction 299 b) Assuming that the conducting wire it is made of has radiusaand resistivityρ, find its ...
300 Week 8: Faraday’s Law and Induction This is the rate the kinetic energy of the car is beingreducedto either heating the resi ...
Week 9: Alternating Current Circuits 301 Problem 9. R L R V S t = 0 I (0) I(0) 0 1 I (0) 2 In the circuit above, switchShas been ...
302 Week 9: Alternating Current Circuits ...
Week 9: Alternating Current Circuits AC Generator:If one spins a coil withNturns and cross-sectional areaAat angular velocity ω ...
304 Week 9: Alternating Current Circuits unusually likely to defibrillate the human heart. As little as 10 mA of 60 HzAC across ...
Week 9: Alternating Current Circuits 305 Here’s the trick of the power grid. The resistance of a wire is (recall)R=ρLA (whereAi ...
306 Week 9: Alternating Current Circuits +Q C S L Figure 112: UndrivenLCcircuit If we substitute this relation in for theI’s and ...
Week 9: Alternating Current Circuits 307 If we substitute this relation in for theI’s and divide byL, we get the following secon ...
308 Week 9: Alternating Current Circuits V(t) I(t) C Figure 115: AC voltage acrossC AC voltage across a capacitanceC: We use Ki ...
Week 9: Alternating Current Circuits 309 We integrate both sides to get: IL(t) = ∫ V 0 L sin(ωt)dt = ∫ V 0 ωL sin(ωt)ωdt = V 0 ω ...
310 Week 9: Alternating Current Circuits Note that the solution to the homogeneous ODEdecays in timeexponentially. It is atransi ...
Week 9: Alternating Current Circuits 311 R Z φ χL− χC Figure 119: The impedance diagram for theLRCcircuit. Z= √ R^2 + (χL−χC)^2 ...
312 Week 9: Alternating Current Circuits Resonance for this circuit is a bit unusual – it is the frequencyω=ω 0 =√LC^1 as before ...
Week 9: Alternating Current Circuits 313 Volts Hz Purpose Continent 120 60 lighting, small appliances, N. and S. America electro ...
314 Week 9: Alternating Current Circuits likely to defibrillate the human heart. As little as 10 mA of 60 Hz AC across the heart ...
Week 9: Alternating Current Circuits 315 V sin tp ω V sin ts ω R I I p s N N Iron Core Flux p s Figure 120: A transformer transf ...
316 Week 9: Alternating Current Circuits It is also clearly undesirable, as the heat that appears in the iron core islostand hen ...
Week 9: Alternating Current Circuits 317 to renewable resource electrical generation, conversion of e.g. sunlight or the power o ...
318 Week 9: Alternating Current Circuits problems has you do this very thing. Be sure that you work throughit, with the help of ...
«
12
13
14
15
16
17
18
19
20
21
»
Free download pdf