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Unformatted text preview: 4/6/10 1 C HAPTER 29 E LECTROMAGNETIC I NDUCTION – P ART 2 Vahé Peroomian I NDUCED E LECTRIC F IELDS For a stationary conductor, E ∫ ⋅ d l = ε = − d Φ B dt E XAMPLE 5 A long solenoid of radius R has n turns of wire per unit length and carries a time-varying current that varies sinusoidally as I = I max cos ω t, where I max is the maximum current and ω is the angular frequency of the alternating current source. (a) Determine the magnitude of the induced electric field outside the solenoid at a distance r > R from its long central axis. (b) What is the magnitude of the induced electric field inside the solenoid, a distance r from its axis? 4/6/10 2 1825: A MPERE ’ S L AW Maxwell: “One of the most brilliant achievements in science. The whole, theory and experiment, seems as if it had leaped, full- grown and full-armed, from the brain of the ‘Newton of electricity.’ It is perfect in form and unassailable in accuracy; and it is summed up in a formula from which all the phenomena may be deduced, and which must always remain the cardinal formula of electrodynamics.” B . d l = ∫ μ o I = μ o dq dt A MPERE ’ S L AW W ORKS , RIGHT ?...
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