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# lecture12 - Physics 102 Lecture 12 Inductors and AC...

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Physics 102: Lecture 12 L R C Inductors and AC Circuits

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Mutual Inductance AC Generator Changing current in P Changing B-field thru P Changing B-field thru S Changing Φ thru S Φ S proportional to I P : P rimary Coil S econdary Coil p s I M t ε = - i f i f t t t - Φ - Φ - = ∆Φ - = ε s p MI Φ = “Mutual Inductance” Induced EMF (voltage) in S Recall Faraday’s law: 10 Demo
AC Generator Changing current Changing B-field Changing Φ Φ proportional to I: f i f i f i f i -L I I I L t t t t t t ε Φ - Φ - ∆Φ = - = - = = - - - LI = Φ “Inductance” Self Inductance – Single Coil Induced EMF (voltage) Recall Faraday’s law: Direction Given by Lenz’s Law Opposes change in current 13 Units: [L] = [ ε ] [t] / [I] 1 H = 1V-sec/amp

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Inductor resists current change! I L Φ = Recall: Φ =NBA Recall: B= μ o nI A l (# turns) = (# turns/meter) x (# meters) N = n l I nIA N L 0 μ = nNA L o μ = I NBA L = lA n L o 2 μ = Energy stored: U = ½ LI 2 Physical Inductor 16
Compare the inductance of two solenoids, which are identical except solenoid 2 has twice as many turns as solenoid 1.

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