BClark's physics: electromagnetism

Physics : Spring Semester 2023

Unit 4 syllabus: Charge and electric current

~8 weeks

for next year:

bow shocks in plasma, and how the magnetosphere protects Earth from the solar wind:

(click here to return to previous unit)

Week 12: March 27

Current, extended projects:

New assignments this week.

  • Text summary notes: Chapter 16.1-16.9 + problems 1, 4, 8, 9, 12, 41.
  • Computer lab activity: Electric Field hockey. This activity has students considering the differences between direction of force and direction of motion. The fact that charged particles have inertia affects their trajectory. Electric forces are the vector sum of the forces due to the charged objects around them. Students are to use this worksheet to play with the simulator

Additional resources

 

 

Introduction to electricity: Demo's Van DeGraff generator and "lightning ball". Electrons getting knocked loose. Molecules being torn apart. Electric fields are force fields. There are many force fields, each acting on a different aspect of matter. Electric fields are vector fields with conventions for drawing. When discussing electricity, voltage, current and resistance are key components of the discussion. Materials can be insulators or conductors, both of which can carry electricity.

Discussion: Electric fields due to storm clouds and charging by induction (demo included use of electroscope which gains charge by simply being near Van de Graff generator) http://www.nytimes.com/2016/08/31/science/lightning-strike-dead-reindeer.html

Discussion: Electric field strength is defined as newtons per coulomb. Comparision to gravitional field strength. Charge on an electron, number of electrons required to create one coulomb of charge

This week introduces the fudamental concept of electric charge, how charge transfers from one material to another, the forces that develop between charges and how we the concept of the electric field as a vector field and how that field can vary between insulators and conductors.

Review/discussion of electric fields and introduction to voltage. Voltage refers to how much energy a charge will gain as it falls "down" an electric field. Much like a rock dropping from a given height (picking up kinetic energy and losing potential energy) a charge will fall through a field and pick up energy (the opposite of the work required to "lift it up" the field. Voltage then is a measure of the "work per charge" which is gained or lost as a charge moves from one place to another within an electric field.

Awesome footage of lightning strikes

Just for fun

Week 13: April 03

Test after break! (click here for review guide!)

 

   
STOP! The items listed in the weeks below are from Last years syllabus. In some instances, dates may be changed and assigments/activities may be repositioned on the calendar as time progresses.

Week 13: March 28

New assignments this week.

  • Chpt 17 questions; 7, 8 and problems 7, 10, 13.
  • Mini-lab: Introduction to circuits (multiple parts, part one is to simply construct a simple ciruit and measure the voltage around the circuit. First with the motor spinning and then again, with someone holding the motor (seized). More next week.

 

 

 

 

Discussion: What is a complete circuit? When does electricity flow? Any system in which a) there is a potential difference and b) a conducting path for a current to flow through. (note: in most human designed systems, e.g., cars, computers, machines, etc. We usually build circuits that begin and end with a battery, such as the battery in your car or computer. In natural systems (clouds or high voltage power lines).. the complete circuit might be between the clouds and the ground, or between the power lines and a near-by tree branch. Of importance, electricity only flows when there is a difference in electric potential. (an analogy is made of holding a trough of water over my head.. the water will only flow to one side or the other, if the trough is held with one side higher than the other, not if they are at the same height!) In the video clip of the High voltage linemen , the worker doesn't get roasted because he is at the same voltage (500,000 volts!).. as the lines themselves.

Guitar building time in the engineering lab!

Note to student: These are the text book sections we have 'covered so far' in class discussions.

  • 16.1-16.4; Static charge, insulators, conductors and charging by induction
  • 16,7-16.9: electric fields and drawing electric fields.
  • 17.1-17.3 (read!) Electric (energy) potential difference, work and Voltage.
  • 18.1-18.3: Electric batteries and current.
  • 19.1: EMF and terminal voltage.
Week 14: April 4: Spring Break

Week 15 April 11

New assignments this week.

  • Mini-lab part, continued. Students rebuilt the same circuit but this time measured current and resistance of the circuit elements.
  • Read and take notes on chapter 17.1-117.4 and do problem from chapter 17; 8,9 and problems from chapter 18 2, 3, 5, 9.

Additional resources:

Clark was out on Monday.

Tuesday/Wed was CASEE testing..

Thursday including discussion on fhe following topics.

The Equivelent Series Resistance of a chemical (eg lead/acid) battery. (described in section 19.1 in the text book, EMF and terminal voltage).

The Earth's magnetic field.

Time in Engineering shop (45 minutes)

The Earth's magnetosphere

Week 16: April 25

New assignments this week.

  • Chpt 17 problems: 1, 3, 4, 7, 9.

For extra credit only

  • Chpt 16 Questions: 3,5 (pg 464)
  • Chpt 16 problems: 4, 8, 9. (pg 465).

Associated Text book sections students should review:

Additional resources:

Discussion: Elelctric fields in conductors.

Discussion: Simple circuit problems involving resistors in series and in parallel. (section 19.2 in text book).

Discussion: Capacitors..

A slow walk through a circuit with capacitors showing how voltage changes as capacitors are charged and discharged..

Having fun with Ultra-capacitors. This video compares capacitors to batteries and illustrates concepts such as equivelent series resistance in batters (ESR), energy stored in capacitors, the definition of capacitance (the ratio of charge to voltage).. the units of capacitance (the Farad).. etc. Note: Some off-color humor in this one, but lots of good physics.

 

Leyden Jars, the original capacitors!

Week 17. May 02.

Clark is out this week, Mon-Wednesday. (COVID!)

New assignments this week.

 

Video: Tesla, Master of Lightning. Students are to watch (over Monday and Tuesday) this documentary, taking notes along the way.

In class reading assignment: Chapter/section 20.1-20.5. Magnetic fields. Summerize these sections. (pictures and words!)

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Week 18. May 09.

This week was AP testing.

Problem set, solving problems using Kirchoff's rules (and your programable calculator).

Thursday: Mini-lab: Capacitors in a circuit.. Students built four different circuits containing capacitors.. they calculated the capacitance for each circuit and then described the behaviour.

Circuit labs: Project 296 +252 (using capacitors to quite a motor and to store energy). For each of these, students should summarize 'the effect' on the circuit of having the capacitor in place. For circuit 2296, the student should determine the charge (Q) stored on the capacitor when fully charged. For circuit 252, the circuit should draw two circuit diagrams (for each of the possible states) illustrating the direction of current flow in the two cases.

Introduction to Kirchoff's rules for determining current in complex circuits. This discussion sets up a framework for understanding complex circuit problems. The basic idea, is that a 'walk around branches of a ciruit' must include a summation of voltage changes which add to zero. From this, we can set up simultaneous equations which can be solved using matrix operations (including rref, the reduced, row eschelon function on our programable calculators). (See textbook section 19.3: Kirchoff's rules).

MC Escher: WaterFall

Week 19. May 16.

 

Additional resources:

 

Discussion: Diodes, Light emitting diodes and transistors.

Review guide for test next week.

Sections:             
17.1, 17.2. Voltage and electric fields.
17.7 Capacitance.
18.1->18.3. Electric currents and batteries.
19.1-> 19.5 DC circuits and Kirchoff’s rules.
20.1-> 20.5 electric currents and magnetic fields. (conceptual only, no math)
21.1->21.3. (conceptual only, no math)

Week 5: April 29

New assignments this week.

  • Snapcircuits project 5: motor and light in series. ( see instructions at right.)
  • Snapcircuits project 6: motor and light in parallel. ( see instructions at right.)

Associated Text book sections students should review:

Introduction to electric circuit kits: Students should note that all kits come with designated spots for every component. Students should note the location of parts and put them back in the correct locations.

Discussion: Series and Parallel circuits, and how to determine the equivelent resistance in circuits so that current and voltage can be determined around a circuit.

Lecture/discussion: Voltage walk around a circuit. What does a battery do? What is a complete circuit? Symbols for resistors, switches and batteries. Electro-motive-sources. History of Voltaic piles and the term battery. Continuous current vs. rapid discharge. Doing work to lift charges "up hill, energy wise". Voltage across battery should equal voltages around the circuit.

Discussion: Resistors in parallel. In this situation, adding resistors actually reduces the overall resistance. (see section 19.2, p. 522 in text). Discussion included determining the "equivalent resistance" and the "inside out" strategy for determining net, system resistance.

Activity/discussion: Building circuit and measuring voltage around the circuit.. using multi-meters to measure voltage. For each of the two circuits below, students were to measure voltage (noting milivolts when multimeter "autoscaled") around each branch of the circuit.

  • Snapcircuits project 5: motor and light in series
  • Snapcircuits project 6: motor and light in parallel.
  • For each of these circuits, students are to:
    1. draw a sketch (circuit diagram based on symbols on components)
    2. describe in words what the circuit appears to do.
    3. use the multi-meter to measure voltage around the circuit.
 

Week 6: May 06

SBAC Testing this week: Consumed the entire block period of Thurs/Friday classtime.

New assignments this week.

  • Text book problems from chpt 19: p's 5, 7, 11, 16, 17.
  • Kirchoffs problems: chpt19. P25, 26, 27, 29, 35.

Associated Text book sections students should review:

 

 

 

Week 7: May 13

Current, extended projects:

New assignments this week.

  • Circuit labs: Project 296 +252 (see assignment next week).

Associated Text book sections students should review:

 

 

Lab: Capacitors in series and parallel. (Snap Circuit projects 164 and 165, respectively) Students were to:

  • draw diagram of circuits,
  • label circuit elements (voltage for battery and Capactance for capacitors).
  • Calculate total amount of charge that will accumulate on each capacitor
  • Measure discharge rate (time to black) from first button push.
  • Draw a graph of current as a function of time. (estimate shape).

Introduction to capacitance. Capacitors store charge and are used to modulate current flow in circuits (buffer delicate electronics from unexpected surges, for instance) or to store energy and maintain applied voltage when power is shut off (this is how logic circuits such as the memory in your car retain the mileage value even when the car battery is removed). (See textbook section 17.7: Capacitance).

Discussion/review: Voltage is only dangerous when there is a 'potential DIFFERENCE' between points.

 

 

 

 

High amperage current wants to keep flowing (kind of like inertia), even when the circuit is 'broken', in an effort to shut if off.

Associated text book sections on semiconductors, diodes and transistors:

  • 29.5: Bonding in solids
  • 29.6: Band Theory of solids.
  • 29.7: Semiconductors and doping.
  • 29.8: Semiconductors and diodes.
  • 29.9: Transistors and Integrated Circuits.

for next year_____________________

Sample capacitor problem: Chapter 17, problem 37. Determine the charge on a capacitor required to achieve an Electric Field of given strength.

Week 8: May 20

New assignments this week.

  • Minilab: images produced by flat (plane) mirrors.

 

 

Magnetic and electric interactions. Basic ideas discussed include:

  • Electric current generates a magnetic field around the wire, following the right hand rule.
  • Charges which are moving through magnetic fields experience a force at right angles (following the RHR).
  • Electric curents in a wire passing through a magnetic field will experience a force (RHR).
  • Changing magnetic flields can induce currents in conductors.
  • The current which is created as a result of induction, creates a new magnetic field which opposes what ever 'change' is taking place.
  • Video/discussion: Nikola Tesla. (students took notes for extra credit).

Introduction to Light and geometric optics. (text 23.1: The ray model of light and 23.2: reflection, images formed by a plane mirror).

Minilab: images produced by flat (plane) mirrors. Students placed a nail (the object) in front of a flat mirror. Then, using rulers, identified the 'lines of sight' to the 'image' of the nail in the mirror. By connecting these 'rays' students were able to locate where 'the image' was located in space, and to measure the angles of incidence and reflection (and image and object distances as well). Due end of week.

Additional Text book sections students should review:

  • 20.2: Electric currents produce magnetic fields
  • 20.3: force on an electric current in a magnetic field.
  • 20.4: force on an electric charge in a magnetic field.
  • 20.5 Magnetic field due to a long, straight wire
  • 20.7: solenoids and electromagnets
  • 21.1 Induced EMF
  • 21.2 Faraday's law of induction
  • 21.3. EMF induced in a moving conductor
  • 21.4 changing magnetic flux induces an electric field
  • 21.6: Back EMF and counter torque, Eddy currents.
  • 22.1 Changing electric fields produce magnetic fields.
  • 22.2: Production of electromagnetic waves.

Week 9: May 27

Monday was a holidy: Memorial Day Weekend!

   

Week 2: May 01

Current, extended projects:

New assignments this week___________

Video: Tesla, master of lightning! Cornell notes due end of period.

  • Chapter 17, problem 7, 10, 13 (voltage) and problems 31, 34 (capacitance)

 

Discussion: Inductance. Amazingly, electricity can act as if it has momentum/inertia.. (this has to do with the interaction of electric currents and magnetic fields, more on that later

 

 

Week 3: May 08

New assignments this week___________

  • Chapter 17. problems 36 and 38.
  • Chapter 19: Problems 3, 10, 12,
  • lab: Lab: Capacitors in series and parallel.(see text at right)

 

Introduction to capacitance. (see chapter 17-7 in text). Capacitors store charge and are used to modulate current flow in circuits (buffer delicate electronics from unexpected surges, for instance) or to store energy and maintain applied voltage when power is shut off (this is how logic circuits such as the memory in your car retain the mileage value even when the car battery is removed).

Sample capacitor problem: Chapter 17, problem 37. Determine the charge on a capacitor required to achieve an Electric Field of given strength.

Lab: Capacitors in series and parallel. (Snap Circuit projects 164 and 165, respectively) Students were to:

  • draw diagram of circuits,
  • label circuit elements (voltage for battery and Capactance for capacitors).
  • Calculate total amount of charge that will accumulate on each capacitor
  • Measure discharge rate (time to black) from first button push.
  • Draw a graph of current as a function of time. (estimate shape).

Capacitors video clip: Capacitor fun See what happens when a large capacitor is fully charged! How does a capacitor discharging differ from a battery discharging?

 

Week 4: May 15

New assignments this week___________

  • flat mirror lab:

Monday: Intro to optics: The ray model of light, the flat mirror lab.

Flat mirror lab: Students viewed a nail set a distance in front of a flat mirror. By drawing "lines of sight" towards the "image", students traced out the true path of light rays, confirming the "law of reflection" and projecting back to where the "image" location would be located.

Tuesday: One last electrical system discussion: Kirchoff's rules/matrix operations.

Thursday: Concave mirrors/convex mirrors

 

Week 5: May 22

New assignments this week___________

 

Monday: Refraction as a wave phenomina (discussion). Wave speed changes waves move from one material into another. This change of speed results in a change of direction as the wave is "dragged down" or "speeds up"..

Tuesday: mini-Lab: Snells law lab/bending light at the boundary. Students used semicirular dishes of water to draw "lines of sight" between nails placed on each side of the dish. Using these lines of sight adn by measuring the resulting angles of incidence and refraction on either side of the boundry, students were able to determine the index of refraction and therfor, the speed of light in water.

Thursday: Field trip to exploratorium (click here for assignment sheet).

 

Week 6: May 29

Final Review Guide passed out on Tuesday.

New assignments this week___________

Final Review guide was passed out on Tuesday.

Monday: No School, Memorial day holiday

Tuesday: Optics Bench mini-lab and discussion. Two kinds of lenses, converging and diverging (with positive and negative focal lengths, respectively) Drawing ray diagrams for lenses follows the same principals as with mirrors, only the rays pass through the lense instead of bouncing off as with mirrors.

Thursday: Free time to review for Final, finish up any late work, etc.

 
Week 7: June 5th Finals week.    

The items listed in the weeks below are from Last years syllabus. In some instances, dates may be changed and assigments/activities may be repositioned on the calander as time progresses.

  • Worksheet: 17B: The superposition principal (electric fields). 2, 3, 6
  • hw: Chpt 17: Questions; 3, 8 Problems: 2, 4, 10.

What you could be working on to strengthen your skills

  • Chpt 17: Questions 4, Problems: 6, 7, 12, 13
  • finishing up your guitar neck, attaching to base, resonant cavity. See Rock and roll physics for details.

Related Text book sections to this week's discussions.

  • Text book chpt 17: electric potential.
    • 17.1: electric potential (voltage) and energy
    • 17.2: electrict potential and electric field
    • 17.4 the electron volt, a unit of energy.
  • Text book chpt 18: electric currents
    • 18.: electric battery
    • 18.2: electric current
    • 18.3: Ohm's law and resistance.
  • Text book chpt 19: DC circuits
    • 19.2: Resistors in series and parallel.

Additional resources

   

Week 3: May 16th.

Current, extended projects:

New assignments this week.

  • Text chpt 17: Voltage: Question (1) and Problems (4, 6, 8, 9)
  • Build circuits 5,6 (described at right) to measure voltage, and show that battery voltage equals the sum of the voltages around the circuit. Due Thursday.

Additional resources

  • Text book chpt 17: electric potential.
    • 17.7: capacitance
    • 17.8: Dielectrics
    • 17.9 Capacitance in series and parallel.
  • Text book chpt 19: DC circuits
    • 19.4: emf in series and parallel, charging a battery
    • 19.5: circuits containing capacitors in series and parallel.

 

 

Addition to previous measurments of voltage activity: : Show that voltages around circuit add up to applied battery voltage.

Discussion: Determing the net resistance of a series of resitors. Sample problem: Given a ten volt battery and three resistors in series (1, 2, 3 ohms), what current would flow and what would the voltage drop be across each resistor?.

Video (first 15 minutes):

 

Week 4: May 23

Current, extended projects:

New assignments this week.

  • Chpt 17 practice problems 31, 34, 37, 39 on page 490. (see example 17.8 on page 481)
  • electric circuit lab 296, 252 (quieting a motor and storing energy in a capacitor

Additional resources

Introduction to Kirchoff's rules (section 19.3 in text). Clark walked through problem 29 (chpt 19) in text book showing how taking a "voltage walk" around a circuit leads to a summation of voltages which must add to zero. When there are mutilple unknowns, we must have an equal multiple of independant equations to solve. By using Kirchhoff's strategies, we can construct a series of equations, and then by putting them into standard "matrix form", we can use the "reduce row eschelon" feature of our programmable calcutlators to solve them simultatneously. (practice worksheet).

Discussion: Internal voltage of a battery

 

 

 

Week 5: May 31

FINAL REVIEW GUIDE HERE!

New assignments this week.

  • Redo project 5 (series circuit with lamp and motor in parallel) but using multimeters to measure current, and resistance of lamp.

Additional resources

  • Text book chpt 20: Magnetism
  • 20.1 magnets and fields
  • 20.2 electric currents produce B fields
  • 20.3 force on a current carrying wire: B defined.
  • 20.4 force on a charge moving through B.
  • 20.5 B field due to a current carrying wire
  • Textbook: Chpt 21: Electromagnetic induction
  • 21.1: Induced EMF

 

Discussion: Magnetic fields and effects on compasses.. magnetite.. 3rd experiements.. what the field lines show us.. the Earth's magenetic field.. (sections 20.1 and 20.2).

 

Current measurement techniques are compared to voltage measurement techniques. Current measurements are always made with the ammeter in series with the circuit branch of interest. Voltage measurements are made in parallel ot the circuit element of interest. Measuring voltage is always safe and won't affect the circuit (assuming your multimeter is in the correct mode) whereas measuring current can lead to circuit overloads and blown ammeters if one is not careful.

Review of resistors in parallel and in series and how current and voltage are affected. (practice worksheet)

Introduction to Lenz's law (Farday's law of induction)..

basic sequence:

  • passing a wire through a magnetic field generates a current in the wire.. (RHR to figure out). (section 21.3 in text)
  • Running a current through that same wire in that same field generates a force on the wire which is opposite the direction of the previous motion. (section 20.3 in text).
  • In general, induced currents create magnetic fields which oppose what ever "the change" is. (section 21.1 in text).

Demo: Neodymium magnets dropped down into a copper pipe (copper is non-magnetic) producign eddy currents which create magnetic fields which oppose the "changing magnetic field". (section 21.5 in text).

After Quiz on Thursday: Article: Sound Bytes. This article describes how the human auditory system is more senstitive than our visual system and the concept of mapping data int sound files can lead to more precise recognition of patterns which otherwise would go unnoticed. Students read article and responded to these quided questions.

 

 

Week 6 FINALS WEEK! Clark is at Water World on Monday!

Please see finals schedule for test times.

 

 

  • Worksheet: 19B/20-2: volts and simple circuits/resistance

 

  • 16: electrostatics (all) (see qs and ps posted week of April 20)
  • 17.1, 17.2, 17.3 electric potential (see week of April 27)
  • 18.1, 18.2, 18.3 electrical currents (see worksheet and text examples)
  • 19.1, 19.2, 19.3 DC circuits. (see worksheet and text examples)

Introduction to electromagnetism. (chpt 20 in text).

 

 

 

 

Week 5: June 1st

  1. Build a speaker lab "start". (click here for instructions)

 

Build a speaker: Clark provides the parts, students construct in teams of three. Design and place inside a box with a place to mount amplifier circuit. Due Next week (must work for 20 pts).

(instructor notes)

 

for next year:

  • use electroscope in back of room to demonstrate transfer of charge due to contact.. vs "induction"..
  • have students draw circuit diagam with separate key identifying each component and with a different color, identify the direction of current flow around the circuit (from positive to negative on the battery).

Discussion: electrical basics: how to read resistors.

Introduction to power in circuits (prereq for understanding value of transformers, next week) and amplifiers.

Add an amplifier: NPN General purpose amplifier 2N3392 (data sheet) and wiring diagram

College peek: build an amplifier circuit with integrated circuits

Simple amplifier circuit for stereo

 

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