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.

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.

Introduction of the phenomenon of mutual inductance, whereby the magnetic field produced by one coil induces a current in a nearby coil. Example of two concentric coplanar loops.

Introduces self inductance with examples of a solenoid and a toroid; relates mutual inductance to self inductance.

Derives the energy stored in an inductor, with an example of an ideal solenoid, and introduces energy density of the magnetic field.

Modifies Kirchhoff's Voltage Rule to include the induced EMF due to an inductor, and uses this rule to analyze rising and decaying currents in an RL circuit.

Description of current oscillations in circuits with inductors and capacitors; includes analogy to harmonic oscillations in a mass-spring system.

Enumerated procedure for calculating the self inductance of a loop.

Summary of Kirchoff's Voltage Law for circuits that contain inductors.

Write down equation for charge in an LC circuit, and find the time and stored energies when energy stored in the capacitor reaches its first maximum. Solution is included after problem.

Find the inductance of a wire coiled into the shape of two concentric solenoids. Solution is included after problem.

Find the total energy stored in the magnetic field in a toroid. Solution is included after problem.

Find the total energy stored in the magnetic field in a current-carrying wire. Solution is included after problem.

Find the mutual inductance of a system consisting of a rectangular conducting loop next to a long conducting wire. Solution is included after problem.

Find the initial and final currents through each resistor in a two-loop RL circuit. Solution is included after problem.

Find how the current through an inductor evolves in time, for a two-loop RL circuit. Solution is included after problem.

Characterize the behavior of an LC oscillator circuit by finding the oscillation frequency, maximum charge, maximum current and total energy. Solution is included after problem.

Questions about inductance (1-3), circuits involving inductors (4,6,7).

Find the inductance of a solenoid and the induced EMF when a changing current is applied.

Find the inductance of a cylindrical coil made by tightly wrapping a length of wire.

Show that inductors combine like resistors in series and in parallel; consider the effect of their mutual inductance.

An additional large resistance is suddenly added in series to a steady-state RL circuit: solve for the current and induced EMF of the inductor as a function of time.

Find the total energy stored and dissipated in an RL circuit when a battery is connected and then, much later, disconnected; estimate the time scale.

Derive the inductance of a solenoid and then calculate the inductance of the same solenoid when filled with an iron core.

A circuit with two switches is first configured as an RL circuit and then, much later, switched to be an LC oscillator; find the current and energy in the RL circuit and the maximum charge on the capacitor.

Find the magnetic field energy in a spinning charged cylindrical capacitor; also find the electric field energy when the charged cylindrical capacitor is at rest.

Guided questions to estimate the inductance of a conducting loop spinning like a generator in an external magnetic field.

Identify the behavior of current as switches close in one- and two-loop RL circuits.

How does the current in a driven electric motor change when the rotating loop is held still?

Identify how the charge and current in an LC circuit are behaving at specific moments in the oscillation.

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)

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)^#