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E&M REVIEW FARADAY AND LENZ’S LAW DEAN CLARKE, NICK ROJVALL, JUSTINE THOMPSON
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BIG IDEAS Faraday- If the magnetic flux through an area bounded by a closed conducting loop changes with time, a current and an emf are produced in the loop. This is called induction Induced emf is related to change in magnetic flux. Field intensity is inversely related to distance
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BIG IDEAS CONT’D. If a magnet is stationary relative to a loop, no current is induced Induced current will be in a direction that will oppose the change in magnetic flux Ex: If magnetic flux is decreasing, a current will be induced do that its B-field will add to the original B-field and oppose the change in flux and vice versa.
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RELEVANT FORMULAE
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RELEVANT FORMULAE CON’T
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xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Conductor moving in magnetic field v F=qvB ---- +++ F=qE L As a conductor moves through a B-field, charges separate due to magnetic force. The separation of charge creates a uniform e-field within the conductor. Wire is in electromagnetic equilibrium when The presence of an e-field creates a potential difference between the ends of the conductor. (Since –ive charges accumulate at the lower end, the upper end is at a higher electric potential. A voltage is “induced” by the motion.)
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PRACTICE PROBLEM An elastic conducting material is stretched into a circular loop of radius 12 cm and placed parallel to a magnetic field of strength B =.8 T. The material is then released and its radius begins shrinking at an instantaneous rate of 75 cm/s. What emf is induced in the material the instant it is released?
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PRACTICE PROBLEM A metal rod moves with a constant velocity along two parallel metal rails as shown in the diagram. A magnetic field B =.350 T is directed out of the page. If L = 25 cm, and v = 55 cm/s, what emf is generated in the loop? If the rod has a resistance of 18Ω and resistance in the rail and end connector are negligible what current will be generated through the rod? vVvV B (out of the page) L
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