Definition, with example of using the rules to solve a circuit of batteries and resistors.

Finding currents and power in a circuit of batteries and resistors.

Describes the voltage imposed by batteries connected in series or in parallel.

Illustrates calculation of equivalent capacitance for capacitors connected in series or in parallel.

Kirchhoff's Second and First rules for circuits; resistors in series and parallel; finding current.

Using Kirchhoff's rules to solve complex circuits; internal resistance and power dissipation.

Work done by a battery and power dissipated by a resistor.

Introduction to circuits, including parallel and series circuits, circuit symbols, and ground.

Definition of the electromotive force, comparison to voltage, and discussion of internal battery resistance.

Derivations of equivalent resistance in series and in parallel.

Description of Kirchhoff's loop rule and Kirchhoff's junction rule; illustrates how to use them to solve a circuit.

Discussion of how ammeters and voltmeters are designed to minimize disturbance of the circuit being measured.

Description of how to read the color bars on a resistor indicating its value and tolerance.

Illustrates circuit analysis strategy by using Kirchhoff's circuit rules to write down simultaneous equations.

For a network of four resistors, find the resistor value that gives the desired equivalent resistance. Solution is included after problem.

At what load resistance does a battery deliver the most power? Solution is included after problem.

Compare the total power used by two resistors when they are connected to a battery in series vs. in parallel. Solution is included after problem.

Determine the equivalent resistance of twelve identical resistors connected in a cube. Solution is included after problem.

Compare the load current when two batteries with internal resistance are connected in series vs. in parallel.

Find the current through each of three resistors in a multiloop circuit with three batteries.

Find the power dissipated in each of three resistors in a multiloop circuit.

Show the equivalent resistance of an infinite network of resistors.

Find the potential difference across one resistor in a network of five resistors.

Identify how the current and power in a battery-bulb circuit change when a second bulb is added in series or in parallel.

Capacitors in a circuit are charged with a battery, but then the battery is removed. How does the charge on the capacitors change?

Conceptual questions about equivalent resistance, charge in an RC circuit, and potential across a battery.

Finding potential differences and currents in a network of resistors.

Solution (PDF)

Explaining connection between V and R across capacitor.

Solution (PDF)^#

5-part problem; determining which bulbs in a circuit are lit when various switches are closed and which are brightest.

Solution (PDF)

Finding unknown resistance in Wheatstone Bridge.

Solution (PDF)

Finding voltmeter readings and current in a circuit enclosing a changing magnetic field.

Solution (PDF)

6-part problem; potentials of capacitor plates and voltages in circuit before and after connection; doubled capacitor distance.

Solution (PDF)^#

Comparing brightness and resistance for differently-rated bulbs in series.

Solution (PDF)^#