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Chapter 30: Faraday’s Law Summary part(I). Faraday’s law of induction: The emf induced in a circuit is directly proportional to the time rate of change of magnetic flux through the circuit. E = - N d F B /dt
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Chapter 30: Faraday’s Law Summary part(I) Faraday’s law of induction: The emf induced in a circuit is directly proportional to the time rate of change of magnetic flux through the circuit. E = - N dFB/dt where FB is the flux through one loop, and N is the number of loops (assumed identical). Motional emf: |V| = El = B l v Motion through magnetic field -> potential difference between ends of the conductor. Reverse direction: reverse polarity! The induced emf is: E = -dFB/dt = - B l v The induced current is: I = |E|/R = B l v/R
Chapter 30: Faraday’s Law Summary part(II) The power delivered by the applied force is equal to the power dissipated in the resistance (assuming uniform motion): P = Fappv = I l B v = B2l2v2/R = (I2R) Lenz’s law: The polarity of the induced emf is such that it tends to produce a current that will create a magnetic flux to oppose the change in magnetic flux through the loop. Example: The magnet and the loop!