Current, Resistance, Power

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Video Clips

Video RealVideo®
6:52 minutes (0:00 - 6:52)

Definition, with example of calculating the drift velocity current for a copper wire.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Video RealVideo®
6:22 minutes (6:52 - 13:14)

Statement of Ohm's Law with definitions of conductivity, resistance, and resistivity.

Prior Knowledge: Current (beginning of video lecture 9)
Instructor: Prof. Walter Lewin
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Video RealVideo®
3:59 minutes (13:14 - 17:13)

Comparison of the properties of good conductors and good insulators.

Prior Knowledge: Ohm's Law (6:52 of video lecture 9)
Instructor: Prof. Walter Lewin
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Video RealVideo®
5:56 minutes (17:13 - 23:09)

Explanation that temperature can cause Ohm's Law to break down. Includes a demonstration of Ohm's Law holding for one resistor and not for another.

Prior Knowledge: Ohm's Law (6:52 of video lecture 9)
Instructor: Prof. Walter Lewin
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Video RealVideo®
4:01 minutes (23:09 - 27:10)

Ohm's Law failing to hold for a light bulb with a resistance that varies with temperature.

Prior Knowledge: Ohm's Law (6:52 of video lecture 9)
Instructor: Prof. Walter Lewin
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Video RealVideo®
5:28 minutes (27:10 - 32:38)

Definition and comparison of values for resistance, current, and voltage.

Prior Knowledge: Ohm's Law (6:52 of video lecture 9)
Instructor: Prof. Walter Lewin
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Video RealVideo®
4:15 minutes (32:38 - 36:53)

Using a candle to increase the conductivity of air near an electroscope.

Prior Knowledge: Ohm's Law (6:52 of video lecture 9)
Instructor: Prof. Walter Lewin
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Video RealVideo®
6:15 minutes (36:53 - 43:08)

Using salt to increase the conductivity of water and light a bulb.

Prior Knowledge: Ohm's Law (6:52 of video lecture 9)
Instructor: Prof. Walter Lewin
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Video RealVideo®
6:08 minutes (43:08 - 49:16)

Calculation of resistance between body and Earth through a pair of shoes, including a demonstration that this resistance is not high enough to keep charge from flowing.

Prior Knowledge: Ohm's Law (6:52 of video lecture 9)
Instructor: Prof. Walter Lewin
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Video RealVideo®
7:16 minutes (0:00 - 7:16)

Definition and explanation of how a battery works, with examples.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Video RealVideo®
3:34 minutes (7:16 - 10:50)

Symbol for a battery in a circuit diagram, definition of electromotive force and internal resistance.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Video RealVideo®
4:30 minutes (10:50 - 15:20)

Connecting two batteries in series to demonstrate that the electromotive force doubles.

Prior Knowledge: Power Supplies (beginning of video lecture 10)
Instructor: Prof. Walter Lewin
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Video RealVideo®
2:54 minutes (15:20 - 18:14)

Derivation of the equation for power P=IV, including definition of Watts as unit of power.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Video RealVideo®
5:43 minutes (18:14 - 23:57)

Finding the power consumed by a resistor, with examples including light bulbs, heaters, and the human body.

Prior Knowledge: Power (15:20 of video lecture 10)
Instructor: Prof. Walter Lewin
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Video RealVideo®
4:33 minutes (23:57 - 28:30)

Finding the power supplied by a battery, with a demonstration of a 9 V battery being shorted out.

Prior Knowledge: Power (15:20 of video lecture 10)
Instructor: Prof. Walter Lewin
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Video RealVideo®
2:48 minutes (28:30 - 31:18)

Showing the large current and power supplied by a car battery when it is shorted out.

Prior Knowledge: Power (15:20 of video lecture 10)
Instructor: Prof. Walter Lewin
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Video RealVideo®
11:27 minutes (32:47 - 44:14)

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

Prior Knowledge: Current, Resistance, Power (video lecture 9 and video lecture 10)
Instructor: Prof. Walter Lewin
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Video RealVideo®
12:19 minutes (20:39 - 32:58)

Discussion of the advantages of transporting electric energy at high voltages to minimize power loss. Calculation of the maximum voltage possible without causing corona discharge, including a slide of corona discharge on a power line during a storm.

Prior Knowledge: Electric Breakdown (32:02 of video lecture 6)
Instructor: Prof. Walter Lewin
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Lecture Notes

Document PDF
Page 6 to page 17

Definition of current and current density; microscopic and macroscopic Ohm's Law.

Prior Knowledge: Charge (OT2.1)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Page 18 to page 22

Circuit element symbols; sign conventions; drawing resistors and capacitors.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Page 23 to page 26

Rules governing resistors in series and parallel; how to calculate equivalent resistance in each.

Prior Knowledge: DC Circuits (OT7.1)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Page 27 to page 34

Illustration of Kirchoff's Circuit Rules and method for solving a circuit; includes discussion of internal resistance in batteries.

Prior Knowledge: Ohm's Law (OT6.2)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Page 4 to page 7

How to measure voltage, current, and resistance in a circuit.

Prior Knowledge: Ohm's Law (OT6.2), DC Circuits (OT7.1)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Page 3 to page 5

Definition from E-field; car batteries; direction of current flow.

Prior Knowledge: Current
Instructor: Prof. Gabriella Sciolla
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Document PDF
Page 10 to page 12

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

Prior Knowledge: Kirchhoff's rules
Instructor: Prof. Gabriella Sciolla
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Online Textbook Chapters

Document PDF
Page 2 to page 4

Definition of macroscopic current and microscopic current density.

Prior Knowledge: Electric Charge (2.1)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Page 4 to page 7

Derivation of macroscopic Ohm's Law (V = IR) from microscopic; introduction of resistance, resistivity and conductivity, including temperature effect on resistivity.

Prior Knowledge: Current Density (OT6.1)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Page 7

A table of values for resistivity and conductivity of several materials.

Prior Knowledge: Resistivity (OT6.2)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Practice Problems

Document PDF
Problem on page 9 to page 10

Given the dimensions and resistivity of a wire, determine its resistance. Solution is included after problem.

Prior Knowledge: Resistivity (OT6.2)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Problem on page 11 to page 12

Find the average drift velocity for ions in a tube of sea water when a voltage is applied across its length. Solution is included after problem.

Prior Knowledge: Current Density (OT6.1), Microscopic Ohm's Law (OT6.2)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Problem on page 13 to page 14

Determine the resistance of a hollow cylinder between the ends and between the inside and outside. Solution is included after problem.

Prior Knowledge: Resistivity (OT6.2)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Problem on page 14

Discuss the dependence of resistance on dimensions and temperature, and the dependence of power dissipation on resistance.

Prior Knowledge: Resistivity and Ohm's Law (OT6.2), Electrical power (OT6.3)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Problem on page 14

A conceptual question about current density of a charged sphere spun in a circle.

Prior Knowledge: Current Density (OT6.1)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Problem on page 14 to page 15

Given the power and operating voltage of a radiant heater, find the current, resistance and output of the heater.

Prior Knowledge: Ohm's Law (OT6.2), Electrical Power (OT6.3)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Problem on page 15 to page 16

How long does it take for an individual electron to travel from a car battery to the starter motor?

Prior Knowledge: Current Density and Drift Velocity (OT6.1), Ohm's Law (OT6.2)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Problem on page 16

Describes the concept of a current sheet and explores the calculation of current density per unit length using a Van de Graaff belt example.

Prior Knowledge: Current Density (OT6.1), Charge Density (OT2.9)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Problem on page 16 to page 17

How does the resistance of a wire change if it is drawn out so that its length is increased?

Prior Knowledge: Resistivity (OT6.2)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Problem on page 17

Given the power and operating voltage of a lightbulb, find the current, resistance and electricity consumption of the bulb.

Prior Knowledge: Ohm's Law (OT6.2), Electrical Power (OT6.3)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Document PDF
Problem on page 1

Identify how the resistance of a conductor depends on its length and area.

Prior Knowledge: Resistivity (OT6.2)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao
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Problem 1

5-part power problem; finding resistance, power, voltage conditions, and Lorentz force in power lines.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Exam Questions

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Problem 1

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

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Problem 1

Determining relative brightness of light bulbs in a resistor circuit.

Prior Knowledge: None
Instructors: Dr. Peter Dourmashkin, Prof. Gunther Roland
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