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# Lec-15 - If the loop is rotated mechanically by an external...

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Previous Lecture Faraday’s Law: E · d l = - d dt B · d A = - d B dt · d A E is related to B ∂t . Lenz’s Law – p.

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Today A Big Generalization of Faraday’s Law Mutual inductance M Self inductance L – p.
Example 29.1 – p.

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A Big Generalization We discussed Faraday’s Law in terms of the time-dependent flux of a magnetic field through a loop of wire. The emf is an electric field that pushes charge around the wire loop. – p.
A Big Generalization We discussed Faraday’s Law in terms of the time-dependent flux of a magnetic field through a loop of wire. The emf is an electric field that pushes charge around the wire loop. You don’t need the loop! There is a fundamental relation between E and B /∂t . – p.

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Example 29.1 without loop – p.
Changing B induces E If B increases, the electric field lines are circular. – p.

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AC Generator

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Unformatted text preview: If the loop is rotated mechanically by an external power source (e.g., water flowing over a dam), the flux through the loop varies sinu-soidaly: Φ = BA cos ωt E =-d Φ dt = BAω sin ωt. The output of the generator is an ac voltage. – p. Nota Bene Section 29-7 (Displacement current and Maxwell’s Equations) is important. We will come back to it. – p. Mutual Inductance A changing current in one coil will induce a current in the second coil. – p. 1 Mutual Inductance One coil inside another: – p. 1 Behavior of an Inductor – p. 1 Building up B takes time The animation shows how the magnetic field of a solenoid builds up as a function of time after the current starts to flow through the coils. – p. 1...
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