Lect_22_note

# Lect_22_note - Chapter 31 2 Faradays Law Faradays law...

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Chapter 31 - 2 Faraday’s Law

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Faraday’s law – Nonconservetive B d d dt Φ ⋅= Es ± d = ± 0 B(t) E
Lenz’s Law ± Lenz’s law : the induced current in a loop is in the direction that creates a magnetic field ( B induce ) that opposes the change in magnetic flux through the area enclosed by the loop B(t) 0 E B induce

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Faraday’s law B d d dt Φ ⋅= Es ± B d Φ= BA = ABcos θ
Ways of Inducing an E field ± The area enclosed by the loop change with time ± d Φ /d t = Bcos θ dA/d t ± animation

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Ways of Inducing an E field ± The magnitude of B change with time ± d Φ /d t = Acos θ dB/d t ± animation
Ways of Inducing an E field ± The angle θ between B and the normal to the loop change with time ± d Φ /d t = AB dcos θ /d t ± animation

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Rotating Loop ± Assume a loop with N turns, all of the same area rotating in a magnetic field ± The flux through the loop at any time t is Φ B = BA cos θ = BA cos ω t
Loop ± The induced emf in the loop is ± This is sinusoidal, with ε max = NAB ω ± JAVA sin B d ε N dt NAB ωω t Φ =− =

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Loop, cont.
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Lect_22_note - Chapter 31 2 Faradays Law Faradays law...

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