Definition, including calculation of the self inductance L for a solenoid and mention of the unit Henry for self inductance.

Using Faraday's Law to find the equation for current as a function of time in a circuit containing inductors and resistors.

Finding the equation for current in an LR circuit when the battery is removed, as well as equations for power and energy in an inductor.

Showing that a self-inductor will oppose the buildup of current using a circuit of light bulbs and a large inductor.

Using Faraday's Law to derive the equation for current in an LR circuit with an AC power supply, including the phase shift.

Hear the current reduction of high frequency audio due to a self-inductor. Cannot hear phase shift.

How the phase lag of the current due to self-inductance in a conductor makes magnetic levitation using an AC coil possible.

Levitating a conducting ring above a coil powered by an AC power supply.

Five questions with answers and explanations.

Three questions with answers and explanations.

Calculating magnetic field energy and self-inductance of a current-carrying wire.

Solution (PDF)

3-part RL circuit problem; energy delivered and built up in circuit; time to current build-up.

Solution (PDF)

Explaining the spark from disconnecting circuit; energy stored in L.

Solution (PDF)

Mutual inductance from two coils of wire, with example of step-up and step-down transformers used in electric power transmission lines.

Definition, with diagrams and a quick review of mutual inductance. Method for calculating self inductance. Back EMF for inductor with changing current.

Definition and symbol for inductors in circuits. Equations for current and voltage in LR circuits, with diagrams. Kirchhoff's Modified 2nd Rule.

Derivation of the energy stored in an inductor, with example of energy in a solenoid.

Brief review of self inductance and the LR circuit, including graphs of voltage and current in the LR circuit. Non-ideal inductors are defined, with an LR circuit graph for a non-ideal inductor.

Simple harmonic motion of a mass on a spring as an introduction to the LC circuit. LC circuit defined with equations and diagrams showing relationship to simple harmonic motion. Introduction to undriven RLC circuits (damped LC oscillations).

Brief review of self-inductance, the energy stored in an inductor, and LR circuits. LC circuits and undriven RLC circuits

Energy stored in electric and magnetic fields, as well as in capacitors and inductors. The Poynting vector and intensity of electromagnetic radiation.

Table of important values and equations for resistors, capacitors, and inductors. Brief review of what happens in RC, RL, LC, and RLC circuits.

Self-inductance and inductors are defined, with equations. LR circuits are described, with equations for energy stored in an inductor and the time constant.

Simple harmonic motion reviewed as an introduction to LC circuits, which are defined with diagrams and equations. The undriven LRC circuit is also described with a diagram.

Induced EMF and back EMF in solenoid; self-inductance definition and calculation; energy storage in inductors.

Definition; reciprocity theorem; transformers.

Intuitive RL circuit description; differential equation and solution for charging and discharging; time constant.

Oscillation in LC circuits; differential equation and solution; energy conservation.

Mutual inductance for various geometries; self-inductance of solenoid, toroid.

Calculation of energy stored in inductor; solenoid example; creating and destroying B-field energy.

Modifying Kirchhoff's loop rule for inductors; setting up the differential equation; rising and decaying current.

Conservation of U and differential equation for LC circuit; oscillating charge and current; comparison to mass-spring system.

Kirchhoff's loop rule to get a differential equation; underdamped solution and comparison to mass-spring-dashpot.

RLC differential equation; solutions for overdamped, underdamped, critically damped cases; quality factor.

Strategies; inductance in circuits, mutual inductance; energy density; RL and LC circuits.

Finding current across an inductor and a resistor as switch is closed and long after switch is closed.

Solution (PDF)

4-part problem; maximal currents across circuit elements for various driving frequencies.

Solution (PDF)

Finding B-fields and mutual inductance of two concentric solenoids.

Solution (PDF)^#

In ideal LC circuit, calculating Q(t) and volume of inductor given maximum field.

Solution (PDF)^#

Finding current in LR circuit just after opening; graphing current change.

Solution (PDF)^#

Calculating energy stored in LC circuit, Q(t) for capacitor, and energy in inductor; mechanical analogy.

Solution (PDF)^#