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Mutual Inductance(sec. 30.1) Self-inductance and inductors(sec. 30.2) Magnetic field energy(sec. 30.3) RL circuit(sec. 30.4) LC circuit (sec. 30.5) RLC series circuit (sec. 30.6) Inductance Ch. 30 C 2009 J. Becker

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The current i 1 in coil #1 gives rise to a flux through coil #2. If i 1 changes, an emf is induced in coil #2 (and vice versa) according to Faraday’s Law: MUTUAL INDUCTANCE C 2004 Pearson Educational / Addison Wesley where MUTUAL INDUCTANCE is

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An inductor (L) – When the current in the circuit changes the flux changes, and a self-induced emf appears in the circuit. A self-induced emf always opposes the change in the current that produced the emf (Lenz’s law). SELF-INDUCTANCE (L)

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Across a resistor the potential drop is always from a to b. BUT across an inductor an increasing current causes a potential drop from a to b; a decreasing current causes a potential rise from a to b.

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(a) A decreasing current induces in the conductor an emf that opposes the decrease in current. (b) An increasing current induces in the inductor an emf that opposes the increase. (Lenz’s law) c. Physics, Halliday, Resnick, and Krane, 4th edition, John Wiley & Sons, Inc. 1992.

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A resistor is a device in which energy is irrecoverably dissipated. Energy stored in a current-carrying inductor can be recovered when the current decreases to zero and the B field collapses. P = V ab i = i L di/dt dU = L i di Energy density of B field is Power = energy / time P = V ab i = (i R) i = i 2 R U = i 2 R (time)

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RL circuit

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vs Increasing current vs time for RL circuit.

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vs Decreasing current vs time for RL circuit.

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Oscillation in an LC circuit. Energy is transferred between the E field of the capacitor and the B field of the inductor.

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Oscillation in an LC circuit. Energy is transferred between the E field and the B field.

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c. Physics, Halliday, Resnick, and Krane, 4th edition, John Wiley & Sons, Inc. 1992.

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Oscillating LC circuit oscillating at a frequency (radians / second)

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q(t) vs time for damped oscillations in a series RLC circuit with initial charge Q.

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Series RLC circuit

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Inductor for Exercise 30.7

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Series RL circuit for Exercises 30.69, 30.70, 30.75

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RL circuit for Exercises 30.71 and 30.72

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Circuit for Challenge Problem 30.78

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See www.physics.edu/becker/physics51 Review C 2009 J. Becker

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