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24 Inductors

# 24 Inductors - Summary of Lecture 23 Induced currents only...

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Craig Ogilvie 11 Summary of Lecture 23 § Induced currents only happen because there is a force on mobile charges Electric force from E-field <= B-field changes in time Magnetic force, if loop moves in non-uniform B-field § Applications of Faraday’s law of induction AC electricity generation , loop rotating in B-field » energy supplied by external source » energy dissipated by devices connected to circuit Eddy currents » always act to oppose change » brakes, falling magnets, metal detectors…

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Craig Ogilvie 22 Goals For Today/Wednesday § Develop physics of inductors protect sensitive electronics from sudden spikes of current spark plug develops enough voltage to spark when its only power source is a 12 V battery § Today: gain experience in calculating mutual inductance of two coils inductance of single solenoid/coil use of inductors in circuits
Craig Ogilvie 33 Two coils, i.e. solenoids § Change the current in coil 1 B-field changes with time => induces E-field at coil 2 » Current in coil 2 » induced emf in coil 2 demo

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Craig Ogilvie 44 Question: Given i1(t) what is voltage across coil 2, 1st round 1. 1 2. 2 3. 3 4. 4 t i 1 ε 2 t t ε 2 t ε 2 t ε 2 0 of 300
Craig Ogilvie 55 Question: Given i1(t) what is voltage across coil 2, 2nd round 1. 1 2. 2 3. 3 4. 4 1 2 3 4 0% 0% 0% 0% t i 1 ε 2 t t ε 2 t ε 2 t ε 2 0 of 300 Change in B-field, flux followed by no change in flux

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Craig Ogilvie 66 Magnitude of Induced Emf dt d N eachTurn φ ε 2 2 - = M21 mutual inductance
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