Lesson Parallel Circuitry & Ohm’s Law:
Many Paths for Electricity

Quick Look

Grade Level: 4 (3-5)

Time Required: 45 minutes

Lesson Dependency:

A photograph of a woman standing in front of a prosthetic arm controlled using robotics.
Yoky Matsuoka, an engineer who completed a Ph.D. in both electrical engineering and computer science, used her knowledge of electricy, neuroscience, and robotics to create a realistic robotic prosthetic arm.
copyright
Copyright © National Science Foundation http://www.nsf.gov/cise/csbytes/newsletter/vol1i7.html

Summary

Students explore the composition and practical application of parallel circuitry, compared to series circuitry. Students design and build parallel circuits and investigate their characteristics, and apply Ohm's law.

Engineering Connection

Engineers have developed a very complicated circuit — called an integrated circuit — that combines thousands to millions of parallel and series circuits working together. One type of integrated circuit that works as a complete computation engine is a microprocessor, known as a central processing unit or a CPU. Microprocessors are essential in automobiles, video games, smoke detectors, DVD players, garage-door openers, cordless phones, clocks and calculators. Engineers continuously develop new technology so that they may use electricity to find solutions to everyday challenges — efforts that contribute to a healthier, happier, and safer environment.

Learning Objectives

After this lesson, students should be able to:

  • Distinguish between series and parallel parts of a circuit.
  • Describe how current changes in a parallel circuit when a light bulb is removed from or added to the circuit.
  • Describe the connections among representations of circuit symbols
  • Recognize that electrical engineers, materials scientists/engineers, mechanical engineers, and physicists contribute to the development of electronic technologies.

Pre-Req Knowledge

Series circuits

Introduction/Motivation

Ask students to raise their hands if they have ever used a videogame, a remote control (for a television or other electronic device) or a keyboard. Ask if any of them ever had just one button or key stop working, while the rest of the videogame controller, remote control or keyboard continued to work. What is occurring electronically that causes this to happen? How can only one button be broken but the rest of the controller still work?

Ask the students if they have ever walked into a room that has multiple lights and they only turned on one. Remind students of the in series circuits they built previously. When one light bulb was taken out of the circuit, an open circuit was created and the electrons could not flow to light the other bulbs. Now ask them, how is it possible that you can turn on one light in a room, and it will work, yet you did not have to turn on all of the other lights?

Explain to students that these two examples use parallel circuits. Engineers connect things in parallel, so if one circuit part breaks the rest of the circuit still works.

Ask for three volunteers. Assign one volunteer to be the "battery" and two as 'light bulbs." (It may help to draw the appropriate symbols on pieces of paper and tape them to their shirts.) Have the students physically portray a series circuit by holding hands in a circle. Then have the students portray a parallel circuit by having the light bulbs and battery stand facing one direction with their arms touching the elbows of the person in front of them.

A very complicated circuit that combines thousands to millions of parallel and series circuits working together is called an integrated circuit (see Figure 1). A microprocessor, known as a central processing unit or a CPU, is a type of integrated circuit that works as a complete computation engine. These days, an average U.S. home has about 40 of these microprocessors in addition to the 10 or so in a typical personal computer alone. Microprocessors are in automobiles, video games, smoke detectors, DVD players, garage-door openers, cordless phones, clocks, and calculators. They are even being implanted in animals as an electronic identity tag.

On the left, a circuit diagram of a simple parallel circuit containing a battery, two light bulbs, a switch and wire linking the components. On the right, a magnified view of an integrated circuit. In the background of the photograph, the circuit board is light green, the wires are black and a shadow of the integrated circuit can be seen in the middle.
Figure 1. A circuit diagram of a simple parallel circuit (left) and an integrated circuit (right).
copyright
Copyright © http://whyfiles.larc.nasa.gov/text/kids/Problem_Board/problems/electricity/images/circuits05.gif (left) and http://www.lbl.gov/Education/HGP-images/integrated-circuit-small.gif (right)

Lesson Background and Concepts for Teachers

Parallel Circuits

A parallel circuit and its corresponding circuit diagram are shown in Figure 2. Since there is more than one path for charge to flow as it moves through the circuit, the current is divided between the two bulbs. Therefore, the current is the same before the bulbs (at the node; intersection of two wires) and after the bulbs (at the node; intersection of two wires), but is divided at the bulbs. In other words, the total current in the circuit is equal to the sum of the currents in the parallel portions. Note, that if the bulbs have the same resistance the current is divided equally among them. On the other hand, if the bulbs have different resistances, the bulb with greater resistance has less current. The total resistance of the circuit decreases if the number of parallel paths increases. The voltage drop across each part of a parallel circuit is the same because each part is connected across the same two points. Students can practice constructing their own parallel circuits with the associated activity Bulbs & Batteries Side by Side.

Two drawings. On the left, a parallel circuit is composed of a battery, two light bulbs, two light bulb holders, a switch and wire between each component. On the right, a circuit diagram; lines represent wire, circles with an "X" inside represent the light bulbs and light bulb holders, two lines perpendicular to the wire and of different lengths represent the battery, and a short line at a 45 degree angle to the wire represents a switch.
Figure 2. A series circuit (left) and the corresponding circuit diagram (right).
copyright
Copyright © Joe Friedrichsen, ITL Program and Laboratory, University of Colorado at Boulder, 2003.

When batteries are linked in parallel, the total current produced increases. For example, if we made a circuit using three 1.5 V batteries in parallel as the voltage source, the total voltage provided by the battery bank would still be 1.5 V. However, the current would be three times that of a single 1.5 V battery. Remember that the amount of current in the circuit depends on the resistances of the devices in the circuit. When an engineer designs a device, like a portable CD player, s/he decides how many batteries are needed in parallel to provide enough current. As you can see, electrical engineers must be very knowledgable about electcitity, yet get to be very creative in their work!

Electricity in the Home

When you plug an appliance into a wall outlet in your home, you are adding a parallel branch to a circuit that goes all the way to your local power plant. Connected to the wall outlets are two wires called lines; one line is called the live wire, while the other is the neutral wire. These lines supply alternating current (AC) at 110-120 V. Often, a third contact in a wall outlet is a ground wire. The ground wire is connected directly to the earth to direct current into the ground if the live wire accidentally touches metal on an appliance. This prevents anyone touching the appliance from receiving an electric shock. Of course, the appliance must be connected to the ground wire, either with an adaptor or a three-prong plug. Engineers are responsible for making appliances safe to use; proper grounding is an import design consideration and they are concerned at all times with public safety.

Electric Power

Whenever there is current in a circuit, electrical energy is being used to do some type of work and electrical energy is being transformed into another type of energy. This work might be turning the blades of a fan, lighting a room, or heating food. The rate at which this work is done by a charge in a circuit is electric power. Electric power is also the rate at which electrical energy is used, therefore, Power = Energy / Time. The electric power consumed by an appliance is P = I * V, where P is the electric power, I is the current in the appliance in amperes [A], and V is the voltage of the appliance in volts [V]. Therefore, electric power is expressed in watts (W), where 1 W = 1 A * V. The cost of electrical energy is given in cents per kilowatt-hour (kWh), where 1 kWh = 1000 Wh (Watt hour). A kilowatt-hour is the amount of electrical energy used in one hour at a rate of 1 kW. Designing appliances that consume power efficiently is an important objective for engineers that ultimately helps improve society.

Lesson Closure

Have students suggest examples of devices that contain computer chips; write the item names on the board. (Possible answers: Microwave oven, answering machine, car, DVD player, etc.) Then, draw a circuit with several components on the board (see Figure 3 for an example sketch). Ask the class to identify which components of the circuit are connected in series and which are connected in parallel

A circuit diagram with a battery and three resistors. The first and second resistors are in series, and the first and third resistors are in series. The second and third resistors are in parallel.
Figure 3. A circuit diagram composed of a battery and three resistors demonstrating series and parallel circuit components.
copyright
Copyright © 2012 Carleigh Samson, University of Colorado Boulder

Next, draw on the board a circuit diagram as seen in Figure 4. Use Ohm's law (I = V / R) to compare the current in three bulbs, each with increasing resistance connected in a parallel arrangement. (Answer: See Figure 4 calculations. Current is greatest in the bulb with the least resistance and least in the bulb with the greatest resistance.) Ask what happens to the voltage when batteries are connected in parallel? (Answer: The voltage across the terminals stays the same.)

A circuit diagram shows three light bulbs arranged in parallel, with given light bulb resistances (left to right) of 2Ω, 5 Ω and 10 Ω.
Figure 4. A parallel circuit composed of three light bulbs with increasing resistances (left), and Ohm's Law calculations to determine each bulb's current (right).
copyright
Copyright © Daria Kotys-Schwartz, ITL Program and Laboratory, University of Colorado at Boulder, 2004.

Vocabulary/Definitions

integrated circuit: A microelectronic circuit etched or imprinted on a semiconductor chip.

parallel circuit: An electric circuit providing more than one conducting path.

Assessment

Pre-Lesson Assessment

Discussion Questions: Ask the students and discuss as a class:

  • With what type of circuit would you want your house or video game wired, and why? (Answer: Students will probably recall the lesson on series circuit and explain how that type of circuit works. Discuss the pros and cons of series circuits.)
  • If you remove one bulb from a series circuit with three bulbs, the circuit will be a(n) ____________ circuit. Open or closed? (Answer: Open.)
  • What happens to the other bulbs in a series circuit if one bulb burns out? (Answer: They all go out.)
  • When batteries are connected in series, the voltage across them ____________. Increases, decreases, or stays the same? (Answer: Increases to the total summative value of the battery voltage.)

Post-Introduction Assessment

Question/Answer: Ask the students questions and have them raise their hands to respond. Write answers on the board

  • How is it possible that you can turn on one light in a room, and it works, without you having to turn on all of the other lights? (Answer: The wiring in a house is a parallel circuit.)
  • What is the name for a very complicated circuit that combines thousands to millions of parallel and series circuits working together? (Answer: An integrated circuit or microprocessor.)

Lesson Summary Assessment

Numbered Heads: Divide the class into teams of three to five. Have the students on each team number off so each member has a different number. Ask the students questions (give them a time frame for solving each, if desired). The members of each team should work together to answer the questions. Everyone on the team must know the answer. Call a number at random. Students with that number should raise their hands to give the answer. If not all students with that number raise their hands, allow the teams to work a little longer. Ask the students:

  • If you remove one bulb from a parallel circuit with three bulbs in parallel, the circuit becomes a(n) ____________ circuit. Open or closed? (Answer: Closed.)
  • What happens to the other bulbs in a parallel circuit if one bulb burns out? (Answer: They stay lit.)
  • When bulbs are connected in parallel, the total resistance is ____________ the resistance of one bulb. Less than, greater than or the same as? (Answer: Less than.)
  • When batteries are connected in parallel, the voltage across them ____________. Increases, decreases or stays the same? (Answer: Stays the same.)
  • Draw a circuit diagram of a parallel circuit with two batteries in parallel and two light bulbs in parallel.

Drawing Race: Write the circuit symbols on the board (see Figure 5). Divide the class into teams of four, having each team member number off so each has a different number, one through four. Call a number and have students with that number race to the board to draw the correct circuit diagram. Give a point to the team whose teammate first finishes the drawing correctly. Ask the students to draw circuit diagrams of the following:

  • A circuit with one battery and two light bulbs in parallel.
  • A circuit with three batteries in parallel and two light bulbs in parallel.
  • A circuit with two batteries in parallel, one resistor and one light bulb.
  • A circuit with one battery, one switch and three light bulbs in parallel.
  • A circuit with one battery, one switch and two resistors in parallel.
  • A circuit with one battery, one switch and one light bulb and resistor in parallel.
  • A circuit with two batteries in parallel and one light bulb in parallel with a light bulb and resistor.

A table showing the circuit diagram symbols for wire, resistor, light bulb, battery, fuse and switch.
Figure 5. A selection of representational circuit diagram symbols.
copyright
Copyright © Daria Kotys-Schwartz, ITL Laboratory, University of Colorado at Boulder, 2004.

Class Presentation: Working in groups of two to four, have students give a class presentation in which they dynamically act out the concepts they learned in the unit. Encourage role-playing and creativity.

  • Have the students act out the scenario of an electrical engineer who has just invented a new toy using series or parallel (or combination of both) circuits. Other players can be consumers, patent officials, neighbors, other engineers, etc. Each scenario must include a description of the circuit and how it works, as well as a drawing of the circuit on the board.

Lesson Extension Activities

Have students investigate the history of the computer industry and the integrated circuit. They can prepare posters and presentations on key inventions and the engineers and researchers who played important roles in the development of microchips and microprocessors.

Microchips are being increasingly used in devices, for example, in clothing irons that automatically shut themselves off, and toasters that detect perfectly browned toast. Have the students all the home appliances that they can think of that have a microchip. Microchips are in dishwashers, washing machines and dryers, televisions, microwave ovens, automobiles, VCRs, DVD players, satellite dish receivers, remote controls, video games, cameras, camcorders, smoke detectors, garage-door openers, cordless phones, mobile phones, fax machines, telescopes, GPS receivers, radios, keyboards, MP3 players, tape decks, stereos, clocks, calculators, printers, scanners, PDAs and animal identity tags.

Expressions and Equations: Have students solve Ohm's law (I = V / R) in the lesson closure for various variables including voltage, current, and resistance instead of just current.

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References

Hewitt, Paul G. Conceptual Physics. 8th Edition. New York, NY: Addison Publishing Company, 1998.

Kagan, Spencer. Cooperative Learning. Capistrano, CA: Kagan Cooperative Learning, 1994. (Source for Numbered Heads assessment activity.)

Reid, T.R. The Chip: How Two Americans Invented the Microchip and Launched a Revolution. New York, NY: Random House, 2001, pg. 309.

Copyright

© 2004 by Regents of the University of Colorado.

Contributors

Xochitl Zamora Thompson; Sabre Duren; Daria Kotys-Schwartz; Malinda Schaefer Zarske; Denise Carlson; Janet Yowell

Supporting Program

Integrated Teaching and Learning Program, College of Engineering, University of Colorado Boulder

Acknowledgements

The contents of this digital library curriculum were developed under a grant from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education and National Science Foundation GK-12 grant no. 0338326. However, these contents do not necessarily represent the policies of the Department of Education or National Science Foundation, and you should not assume endorsement by the federal government.

Last modified: June 27, 2019

Hands-on Activity Bulbs & Batteries Side by Side

Quick Look

Grade Level: 4 (3-5)

Time Required: 1 hour

Expendable Cost/Group: US $8.50

Group Size: 4

Activity Dependency: None

A parallel circuit with three light bulbs.
Students build parallel circuits
copyright
Copyright © Svjo. Wikimedia Commons. http://commons.wikimedia.org/wiki/File:Parallellkoppling-3.svg

Summary

We are surrounded everyday by circuits that utilize "in parallel" and "in series" circuitry. Complicated circuits designed by engineers are made of many simpler parallel and series circuits. In this hands-on activity, students build parallel circuits, exploring how they function and their unique features.

Engineering Connection

Engineers apply their understanding of circuitry to the design of practical, everyday products. They often choose to use parallel circuits so that if one circuit part breaks, the rest of the circuit continues to work. For example, when designing the electrical system for cars, trucks and SUVs, electrical engineers configure the wiring system so the brake lights and headlights are connected in parallel. That way, when one of the bulbs burns out, the other headlight or brake light remains illuminated.

Learning Objectives

After this activity, students should be able to:

  • Define, recognize and assemble parallel circuits and parallel sections of more complex circuits
  • Explain the path of electrical charge through a circuit
  • Understand equations to calculate electrical power
  • Understand that engineers apply their understanding of circuitry to the design of practical, everyday products

Materials List

Each group needs:

For the entire class to share:

  • rubber bands
  • wire strippers or sandpaper (to remove insulation at wire ends)
  • wire cutters
  • screwdriver

Note: Many of the materials required for this lab can be reused in numerous other electricity activities. When the batteries wear out, dispose of them at a hazardous waste disposal site.

Worksheets and Attachments

Visit [www.teachengineering.org/curriculum/print/cub_electricity_lesson06] to print or download.

Introduction/Motivation

Ask the students if any of them have ever been taking a shower when someone in another part of the house flushed a toilet — OUCH! The water in the shower becomes very hot because you were forced to share cold water with another device in the house. A parallel circuit works in a similar way. When two devices are connected in parallel, they are forced to share the current that is flowing through the circuit.

Ask the students if any of them have a lamp at home that uses a three-way light bulb? (Some will answer yes.) For those students who are not familiar with a three-way light bulb, explain that it has three bulb filaments, providing a low, medium and high brightness setting, for example, 60 watts / 75 watts / 100 watts. With each click of the lamp, the light bulb gets brighter. Ask the students who have a three-way light bulb at home if they have ever had the middle level of brightness not work, but the lowest level and highest level still work? (A student may answer yes.) Remind students that when they built circuits that were in series, when one light bulb was taken out of the series circuit, an open circuit was created and the electrons could not flow to light the other bulbs. Now ask the students, how is it possible that when the middle level of brightness does not work in a three-way light bulb, the lowest level and highest level still work? (Answer: The electrons can still flow to the other two filaments because the three filaments are connected in parallel.) Explain to students that the filaments in a three-way light bulb are connected as an "in parallel" circuit.

As another example, tell students that when designing the electrical system for cars, trucks or SUVs, electrical engineers design the wiring system so the brake lights and headlights are connected in parallel. That way, when one of the bulbs in a headlight or brake light burns out the other headlight or brake light remains illuminated. Headlights and brake lights are only a few examples of the many devices that engineers connect in parallel. Engineers use parallel circuits often to make sure that if one circuit part breaks, the rest of the circuit continues to work.

Procedure

On the left, a drawing of a parallel circuit constructed with a battery, two light bulbs, two light bulb holders, a switch and wires linking the components. The corresponding circuit diagram on the right: lines represent wires, circles with an "X" inside represent the light bulbs and light bulb holders, two lines perpendicular to the wire and of different lengths represent the battery, and a short line at a 45 degree angle to the wire represents the switch.
Figure 1. A parallel circuit (left) and its corresponding circuit diagram (right).
copyright
Copyright © 2003 Joe Friedrichsen, ITL Program, University of Colorado Boulder

Background — Parallel Circuits

  • Since each device connects across the same two nodes (a point where two wires intersect), the voltage across each device is the same.
  • The total resistance for a parallel circuit is less than the resistance of any one branch.
  • From Ohm's law (I = V / R), the total current is equal to the voltage divided by the total resistance.
  • The total current divides among parallel branches. Branches with lower resistances have higher current, while branches with higher resistances have lower current.
  • The total current is equal to the sum of the currents in the branches.
  • The total voltage for identical batteries connected in parallel is the same as the voltage across any one battery.
  • Engineers connect things in parallel so that if one circuit part breaks the rest of the circuit still works.

Before the Activity

  • Assemble all the materials. If you conducted the series circuit activity (Lesson 5, Bulbs and Batteries in a Row), reuse the wires, light bulbs, light bulb holders and batteries from that activity.
  • Cut four 6 in (15 cm) pieces, two 10 in (25 cm) pieces, and one 4 in (10 cm) pieces for each team.

With the Students

  1. Ask students to predict how many batteries it will take to light the two light bulbs and record their prediction on the Side by Side Worksheet.
  2. Have the students use the wire strippers or sandpaper to remove about 1/2 in (1.3 cm) of the insulation from the ends of each wire piece.
  3. Have each team make a battery holder. Using masking tape, connect two D-cell batteries in series. The positive terminal of one battery should be touching the negative terminal of the second battery. Cut a paper towel holder to fit the length of the two batteries. Place the two batteries in the paper towel tube. Connect a 10-in wire to the positive terminal of one battery and another 10-in wire to the negative terminal of the second battery.
  4. Construct a circuit using the two batteries in series, a switch, and two light bulb holders and light bulbs in parallel (see Figure 2). Close the switch. What happens? (Answer: Both bulbs light up.)

A photograph of a parallel circuit made with two D-cell batteries, two light bulb holders, two light bulbs and a switch. The two D-cell batteries are contained within a cardboard paper towel tube. One wire leads from the tube to the switch, which is made from two thumbtacks and a paper clip. Another wire exits the opposite end of the tube and is connected to one of the light bulb holders. The two light bulb holders are connected in parallel using short wires. The switch is closed and the two light bulbs are lit.
Figure 2. A parallel circuit with two light bulbs.
copyright
Copyright © 2003 Joe Friedrichsen, ITL Program, University of Colorado Boulder

  1. Open the switch and remove one of the light bulbs from its holder. Close the switch. What happens? (Answer: The bulb remaining in the circuit lights up. See Figure 3.)

A photograph of a parallel circuit made with two D-cell batteries, two light bulb holders, two light bulbs and a switch. The two D-cell batteries are contained within a cardboard paper towel tube. One wire leads from the tube to the switch, which is made from two thumbtacks and a paper clip. Another wire exits the opposite end of the tube and is connected to one of the light bulb holders. The two light bulb holders are connected in parallel using short wires. The switch is closed. Although one light bulb is removed from its holder, the remaining light bulb is still lit.
Figure 3. A parallel circuit with one light bulb removed, and one light bulb remaining in the circuit.
copyright
Copyright © 2003 Joe Friedrichsen, ITL Program, University of Colorado Boulder

  1. Open the switch and replace the light bulb you removed. Now remove the other light bulb. Close the switch. What happens? (Answer: The bulb now in the circuit lights up.)
  2. Open the switch. Replace the bulb you removed and add a third light bulb in parallel with the first two. Close the switch to test the circuit. What happens? (Answer: Each of the three bulbs is just as bright as when there were only two bulbs.)
  3. Use one team's circuit and demonstrate what happens to the brightness of the bulbs as you add a fourth bulb in parallel. What happens? (Answer: The fourth bulb is just as bright as the first three. Also, the first three bulbs are just as bright as they were before.)
  4. Use the knowledge you have gained about parallel circuits to complete the Electric Power Math Worksheet and Parallel Circuit Math Worksheet. Or, if time is limited, assign for homework.

Assessment

Pre-Activity Assessment

Human Diagram: Ask for three volunteers. Assign one volunteer to be the "battery" and two as 'light bulbs." (It may help to draw the appropriate symbols on pieces of paper and tape them to their shirts.) Have the students physically portray a series circuit by holding hands in a circle. Then have the students portray a parallel circuit by having the light bulbs and battery stand facing one direction with their arms touching the elbows of the person in front of them.

Prediction: Hand out the Side by Side Worksheets before the activity begins. Have students predict how many batteries they think it will take to light the two light bulbs, and record their prediction on the worksheet.

Activity Embedded Assessment

Worksheet: Hand out the Side by Side Worksheets before the activity begins and ask students to follow along, first diagramming the series circuit they construct, then filling in answers as they work through the activity.

Post-Activity Assessment

Roundtable: Have the class form into teams of 3-5 students each. Have the students on each team make a list of objects that might have parallel circuits in them by each person taking turns writing down ideas. Students pass the list around the group until all ideas are exhausted. Have teams read aloud the answers and write them on the board. (Possible items: Lights in a house, appliances, computers, toys, CD players, cell phones, etc.)

Make It Fun with Boggle!: Repeat the same activity as above, except when the teams read aloud their answers and write them on the board, ask if any other teams came up with the same idea. If any other teams have the same answer on their sheet, all teams have to cross that answer out on their list. The team that ends up with the most "unique" ideas, wins!

Problem Solving/Homework: Have students complete the Electric Power Math Worksheet and Parallel Circuit Math Worksheet.

Safety Issues

  • Ask students not to play with the light bulbs or holders. If either of these items break, they can cause injury.
  • Ask students not to play with the insulated wire; they may cut or poke themselves or others.

Troubleshooting Tips

To help students understand the equation on the Electric Power Math Worksheet, review it with them and ask them to find the "missing variable."

There must be good electrical contact between all the circuit components. If students have difficulty getting the circuit to work, check all the connections.

Activity Extensions

Use one team's circuit and insert a third battery in parallel. Use a multimeter to measure the voltage across the two batteries. How does it compare to the voltage of one D-cell battery? (Answer: The voltage across three identical batteries connected in parallel is the same as the voltage across two of the batteries.)

Use a multimeter to determine the voltage and current across a single light bulb, using a simple circuit with one light bulb. Use these values to find the resistance of the light bulb using Ohm's law R = V / I. Next, use the multimeter to determine the voltage across two bulbs in parallel and the current in the circuit. Find the resistance of this load using R = V / I. Compare the resistance of one bulb to the resistance of two bulbs in parallel. Compare the current in one bulb to the current in the circuit.

Note: A multimeter is an instrument that combines the measuring capabilities of an ammeter (measures current), voltmeter (measures potential difference, or voltage, between two points) and an ohmmeter (measures resistance) in one instrument to take measurements (current, voltage and resistance) from circuits. . Multimeters are available at Radio Shack (or other electronics store), ranging from $15-$100.

Activity Scaling

For lower grades, use the math worksheets as a challenge activity or complete them together, as a class.

Subscribe

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PS: We do not share personal information or emails with anyone.

Copyright

© 2004 by Regents of the University of Colorado

Contributors

Xochitl Zamora Thompson; Sabre Duren; Joe Friedrichsen; Daria Kotys-Schwartz; Malinda Schaefer Zarske; Denise W. Carlson

Supporting Program

Integrated Teaching and Learning Program, College of Engineering, University of Colorado Boulder

Acknowledgements

The contents of this digital library curriculum were developed under grants from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education and National Science Foundation (GK-12 grant no. 0338326). However, these contents do not necessarily represent the policies of the DOE or NSF, and you should not assume endorsement by the federal government.

Last modified: October 11, 2018