Physics II: Electricity & Magnetism Chapter 21 Section 21-5

Tuesday (Day 5)

Warm-Up Tues, Jan 27 Complete Graphic Organizers for Sections 21-1 to 21-2 Have you logged onto webassign.net? Place your homework on my desk: “Foundational Mathematics’ Skills of Physics” Packet (Page 22 & 23) Future assignments: Electrostatics Lab #1 Packet and Conclusion Questions (Due in 5 classes) Electrostatics Lab #2: Lab Report (Due in 5 classes)

Essential Question(s) WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II? HOW DO WE DESCRIBE THE NATURE OF ELECTROSTATICS AND APPLY IT TO VARIOUS SITUATIONS? How do we describe and apply the concept of electric field? How do we compare and contrast the basic properties of an insulator and a conductor? How do we describe and apply the concept of induced charge and electrostatic shielding? How do we describe and apply Coulomb’s Law and the Principle of Superposition?

Vocabulary Static Electricity Electric Charge Positive / Negative Attraction / Repulsion Charging / Discharging Friction Induction Conduction Law of Conservation of Electric Charge Non-polar Molecules Polar Molecules Ion Ionic Compounds Force Test Charge Electric Field Field Lines Electric Dipole Dipole Moment

Foundational Mathematics Skills in Physics Timeline Day Pg(s) 1 2 6 3 11 16 21 13 14 7 4 12 17 8 22 23 5 18 9 24 †12 19 10 15 20 WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II?

Agenda Review “Foundational Mathematics’ Skills of Physics” Packet (Page 22 & 23) with answer guide. Discuss the quantized charge of electrons and protons Complete Electrostatic Labs #1 & 2

Section 21.5 How do we describe and apply Coulomb’s Law and the Principle of Superposition? How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation? How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

21.5 Coulomb’s Law Charge on the negative electron and positive proton is: The basic unit of charge is the Coulomb, C. Electric charge is quantized in whole number multiples of the electron charge.

Summary Future assignments: From Electrostatics Lab #2: What is the total positive charge of water (in Coulombs)? HW (Place in your agenda): “Foundational Mathematics’ Skills of Physics” Packet (Page 24) Web Assign Problems #1 & 2 Future assignments: Electrostatics Lab #1 Packet and Conclusion Questions (Due in 5 classes) Electrostatics Lab #2: Lab Report (Due in 5 classes)

Wednesday (Day 6) School closed due to inclement weather

Thursday (Day 6) Two Hour Delay due to inclement weather

Warm-Up Thurs, Jan 29 Complete Graphic Organizers for Sections 21-3 to 21-4 For § 21-4: Identify how the process of charging by friction, induction, and conduction applies to: Walking across the carpet and touching a doorknob A Van de Graaff Generator Lightning Place your homework on my desk: “Foundational Mathematics’ Skills of Physics” Packet (Page 24) Web Assign Problems #1 & 2

Warm-Up Future assignments: Teacher Assignment: Thurs, Jan 29 Electrostatics Lab #1 Packet and Conclusion Questions (Due in 4 classes) Electrostatics Lab #2: Lab Report (Due in 4 classes) Teacher Assignment: Acquire an IBM-Compatible computer for EM Field

Essential Question(s) WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II? HOW DO WE DESCRIBE THE NATURE OF ELECTROSTATICS AND APPLY IT TO VARIOUS SITUATIONS? How do we describe and apply the concept of electric field? How do we describe and apply Coulomb’s Law and the Principle of Superposition?

Vocabulary Static Electricity Electric Charge Positive / Negative Attraction / Repulsion Charging / Discharging Friction Induction Conduction Law of Conservation of Electric Charge Non-polar Molecules Polar Molecules Ion Ionic Compounds Force Test Charge Electric Field Field Lines Electric Dipole Dipole Moment

Foundational Mathematics Skills in Physics Timeline Day Pg(s) 1 2 6 3 11 16 21 13 14 7 4 12 17 8 22 23 5 18 9 24 †12 19 10 15 20 WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II?

Agenda Review “Foundational Mathematics’ Skills of Physics” Packet (Page 24) with answer guide. Review select Electrostatic Lab #1 & 2 Results Discuss Coulomb’s Law, Newton’s Law of Gravitation, and the Superposition Principle Apply Coulomb’s Law Begin The Four Circles Graphic Organizer

Section 21.5 How do we describe and apply Coulomb’s Law and the Principle of Superposition? How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation? How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

21.5 Coulomb’s Law Experiment shows that the electric force between two charges is proportional to the product of the charges and inversely proportional to the distance between them. How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation?

6.1 Newton’s Law of Gravitation Experiment shows that the gravitational force between two masses is proportional to the product of the masses and inversely proportional to the distance between them. How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation?

21.5 Coulomb’s Law Coulomb’s law: This equation gives the magnitude of the force. How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation?

6.1 Newton’s Law of Gravitation This equation gives the magnitude of the force. How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation?

21.5 Coulomb’s Law The electric force is along the line connecting the charges, and is attractive if the charges are opposite, and repulsive if they are the same. How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation?

6.1 Newton’s Law of Gravitation The gravitational force is along the line connecting the masses and is always attractive regardless of the size either mass. How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation?

21.5 Coulomb’s Law Unit of charge: coulomb, C The proportionality constant in Coulomb’s law is then: Charges produced by rubbing are typically around a microcoulomb: How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation?

21.5 Coulomb’s Law Unit of charge: coulomb, C The proportionality constant in Coulomb’s law is then: Charges produced by rubbing are typically around a microcoulomb: How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation?

6.1 Newton’s Law of Gravitation Unit of mass: kilogram, kg The proportionality constant in Newton’s law is: NOTE: The Gravitational constant is significantly less than the electrostatic constant . . . Yes, we are going to calculate this difference. How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation?

Summary Future assignments: After comparing the force constants for electrostatics and gravity, identify which Force is stronger. HW (Place in your agenda): †“Foundational Mathematics’ Skills of Physics” Packet (Page 12) Web Assign Problems #3 Future assignments: Electrostatics Lab #1 Packet and Conclusion Questions (Due in 4 classes) Electrostatics Lab #2: Lab Report (Due in 4 classes) How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation?

Friday (Day 7)

Warm-Up Fri, Jan 30 Begin Graphic Organizer for Sections 21-5 Place your homework on my desk: †“Foundational Mathematics’ Skills of Physics” Packet (Page 12) Future assignments: Electrostatics Lab #1 Packet and Conclusion Questions (Due in 3 classes) Electrostatics Lab #2: Lab Report (Due in 3 classes)

Essential Question(s) WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II? HOW DO WE DESCRIBE THE NATURE OF ELECTROSTATICS AND APPLY IT TO VARIOUS SITUATIONS? How do we describe and apply the concept of electric field? How do we describe and apply Coulomb’s Law and the Principle of Superposition?

Vocabulary Static Electricity Electric Charge Positive / Negative Attraction / Repulsion Charging / Discharging Friction Induction Conduction Law of Conservation of Electric Charge Non-polar Molecules Polar Molecules Ion Ionic Compounds Force Test Charge Electric Field Field Lines Electric Dipole Dipole Moment

Foundational Mathematics Skills in Physics Timeline Day Pg(s) 1 2 6 3 11 16 21 13 14 7 4 12 17 8 22 23 5 18 9 24 †12 19 10 15 20 WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II?

Agenda †Review “Foundational Mathematics’ Skills of Physics” Packet (Page 12) with answer guide. Review select Electrostatic Lab #1 & 2 Results Coulomb’s Law & Vectors Applications of Coulomb’s Law

Section 21.5 How do we describe and apply Coulomb’s Law and the Principle of Superposition? How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation? How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

21.5 Coulomb’s Law The proportionality constant k can also be written in terms of , the permittivity of free space: How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

21.5 Coulomb’s Law Coulomb’s law strictly applies only to point charges. Superposition: for multiple point charges, the forces on each charge from every other charge can be calculated and then added as vectors. How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

21.5 Solving Problems Involving Coulomb’s Law and Vectors The net force on a charge is the vector sum of all the forces acting on it. How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

21.5 Solving Problems Involving Coulomb’s Law and Vectors Vector addition review: How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

3 Dimensional Axes & Unit Vector Notation How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Steps for Solving Coulomb’s Law Problems: Determine the direction of the force Determine if your force vectors will represent all forces as repulsive. (NOTE: Since the CORRECT direction of the force may NOT have been established, the values of the charges, q, must be entered as POSITIVE or NEGATIVE into Coulomb’s Law. This is similar to substituting a=-9.8 m/s2 into a kinematic equations): GENERAL CASE OR Establish the direction of the force as repulsive or attractive. (NOTE: Since the direction of the force is now established in the correct direction, all charges, q, will be POSITIVE values when entered into Coulomb’s Law. This is similar to establishing a=-g in the 2-D kinematic equations): SPECIFIC CASE How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Steps for Solving Coulomb’s Law Problems: Problem Solving Resolve the force vectors Sum up the force vectors in the x, y, and z directions Use Pythagorean Theorem to determine the magnitude of the resultant force vector Use SOH CAH TOA to determine the direction of the resultant force vector Sounds simple, yah? How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Applying Coulomb’s Law Three charge are placed are a fixed distance apart shown on the following slide. The charge on Q2 is +50 C located at the origin. The charge on Q1 is -86 C located at 52 cm to the right of Q2. The charge on Q3 is +65 C located at 30 cm above Q2. Calculate the net electrostatic force on charge Q3 due to charges Q1 and Q2. How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Applying Coulomb’s Law How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Relationship between force and distance How would the force change IF the distance were doubled? How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Summary Future assignments: After comparing the force constants for electrostatics and gravity, identify which Force is stronger. HW (Place in your agenda): “Foundational Mathematics’ Skills of Physics” Packet (Page 15) Web Assign Problems #3 Future assignments: Electrostatics Lab #1 Packet and Conclusion Questions (Due in 3 classes) Electrostatics Lab #2: Lab Report (Due in 3 classes) How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Monday (Day 8)

Warm-Up Mon, Feb 2 How many total moles of electrons would have to be removed from the earth and the moon to cancel out the attractive gravitational force between them? Place your homework on my desk: “Foundational Mathematics’ Skills of Physics” Packet (Page 12 & 15) Graphic Organizers for Sections 21-1 to 21-4 Have you complete WebAssign Problems 21.1 - 21.3? Future assignments: Electrostatics Lab #1 Packet and Conclusion Questions (Due in 2 classes) Electrostatics Lab #2: Lab Report (Due in 2 classes)

Essential Question(s) WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II? HOW DO WE DESCRIBE THE NATURE OF ELECTROSTATICS AND APPLY IT TO VARIOUS SITUATIONS? How do we describe and apply the concept of electric field? How do we describe and apply Coulomb’s Law and the Principle of Superposition?

Vocabulary Static Electricity Electric Charge Positive / Negative Attraction / Repulsion Charging / Discharging Friction Induction Conduction Law of Conservation of Electric Charge Non-polar Molecules Polar Molecules Ion Ionic Compounds Force Test Charge Electric Field Field Lines Electric Dipole Dipole Moment

Foundational Mathematics Skills in Physics Timeline Day Pg(s) 1 2 6 3 11 16 21 13 14 7 4 12 17 8 22 23 5 18 9 24 †12 19 10 15 20 WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II?

Agenda Review “Foundational Mathematics’ Skills of Physics” Packet (Page 12 & 15) with answer guide. Butter Gun Applications of Coulomb’s Law Coulomb’s Law Lab

Section 21.5 How do we describe and apply Coulomb’s Law and the Principle of Superposition? How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation? How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Reviewing the warm-up: Just a thought . . . How many total moles of electrons would have to be removed from the earth and the moon to cancel out the attractive gravitational force between them? 592 615 508 moles of electrons each 1 185 231 015 moles of electrons total How do we compare and contrast Coulomb’s Law and the Universal Law of Gravitation?

The Butter Gun

The Butter Gun

The Butter Gun

Applying Coulomb’s Law Application #2 (III) Three charge are placed are a fixed distance apart shown on the following slide. The charge on Q2 is +50 C located at the origin. The charge on Q1 is -86 C located at 52 cm to the right of Q2. The charge on Q3 is +65 C located at 30 cm above Q2. Qualitatively identify the possible locations of a POSITIVE 4th charge, Q4, of +1 C so it does not feel a force due charges Q1, Q2, and Q3 using force diagrams. Where do you think it would be if the 4th charge were NEGATIVE? How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Applying Coulomb’s Law How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Applying Coulomb’s Law How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Applying Coulomb’s Law How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Applying Coulomb’s Law Application #3 (III) IF two of the three charge are placed are a fixed distance apart shown on the following slide. The charge on Q2 is +50 C located at the origin. The charge on Q1 is -86 C located at 52 cm to the right of Q2. The charge on Q3 is +65 C located at 30 cm above Q2. Identify the locations from the origin of a POSITIVE 4th charge, Q4, of +1 C so it does not feel a force due to charges Q1, and Q2. Q2 and Q3. How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Applying Coulomb’s Law How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Summary Coulomb’s Law Application #3: Determine the location(s) along the x-axis and y-axis for a positive particle to feel a Fnet = 0 N. HW (Place in your agenda): “Foundational Mathematics’ Skills of Physics” Packet (Page 3) Coulomb’s Law Application #3 Future assignments: Electrostatics Lab #1 Packet and Conclusion Questions (Due in 2 classes) Electrostatics Lab #2: Lab Report (Due in 2 classes) How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Tuesday (Day 9)

Warm-Up Tues, Feb 3 Continue Graphic Organizer for Section 21-5 Place your homework on my desk: “Foundational Mathematics’ Skills of Physics” Packet (Page 3) Graphic Organizers? Have you complete WebAssign Problems: 21.1 - 21.4? Future assignments: Electrostatics Lab #1 Packet and Conclusion Questions (Due in 1 class) Electrostatics Lab #2: Lab Report (Due in 1 class)

Essential Question(s) WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II? HOW DO WE DESCRIBE THE NATURE OF ELECTROSTATICS AND APPLY IT TO VARIOUS SITUATIONS? How do we describe and apply the concept of electric field? How do we describe and apply Coulomb’s Law and the Principle of Superposition?

Vocabulary Static Electricity Electric Charge Positive / Negative Attraction / Repulsion Charging / Discharging Friction Induction Conduction Law of Conservation of Electric Charge Non-polar Molecules Polar Molecules Ion Ionic Compounds Force Test Charge Electric Field Field Lines Electric Dipole Dipole Moment

Foundational Mathematics Skills in Physics Timeline Day Pg(s) 1 2 6 3 11 16 21 13 14 7 4 12 17 8 22 23 5 18 9 24 †12 19 10 15 20 WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II?

Agenda †Review “Foundational Mathematics’ Skills of Physics” Packet (Page 3) with answer guide. Complete Coulomb’s Law Lab Complete Web Assign Problem #4

Summary Write down the answer to question 7 on Electrostatics Lab #3 (What happens just before the balls touch?). HW (Place in your agenda): “Foundational Mathematics’ Skills of Physics” Packet (Page 4) Web Assign Problems #4 Future assignments: Electrostatics Lab #1 Packet and Conclusion Questions (Due tomorrow) Electrostatics Lab #2: Lab Report (Postponed Due 1 class) Electrostatics Lab #3: Lab Report (Due in 5 classes) How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Wednesday (Day 10)

Warm-Up Wed, Feb 4 Finish Graphic Organizer for Section 21-5 Place your homework on my desk: “Foundational Mathematics’ Skills of Physics” Packet (Page 4) Electrostatics Lab #1 Packet and Conclusion Questions Have you complete WebAssign Problems: 21.1 - 21.4? Future assignments: Electrostatics Lab #2: Lab Report (POSTPONED - Due in 1 class) Electrostatics Lab #3: Lab Report (Due in 4 classes)

Essential Question(s) WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II? HOW DO WE DESCRIBE THE NATURE OF ELECTROSTATICS AND APPLY IT TO VARIOUS SITUATIONS? How do we describe and apply the concept of electric field? How do we describe and apply Coulomb’s Law and the Principle of Superposition?

Vocabulary Static Electricity Electric Charge Positive / Negative Attraction / Repulsion Charging / Discharging Friction Induction Conduction Law of Conservation of Electric Charge Non-polar Molecules Polar Molecules Ion Ionic Compounds Force Test Charge Electric Field Field Lines Electric Dipole Dipole Moment

Foundational Mathematics Skills in Physics Timeline Day Pg(s) 1 2 6 3 11 16 21 13 14 7 4 12 17 8 22 23 5 18 9 24 †12 19 10 15 20 WHAT PRIOR FOUNDATIONAL MATHEMATICS’ SKILLS ARE NECESSARY IN PHYSICS II?

Agenda †Review “Foundational Mathematics’ Skills of Physics” Packet (Page 4) with answer guide. From “Foundational Mathematics’ Skills of Physics” (Page 24): 3D Angles, Trigonometry, and xyz-Components Complete Coulomb’s Law Lab Begin The Four Circles Graphic Organizer Complete Web Assign Problem #4

Applying Coulomb’s Law Application #3 (III) IF two of the three charge are placed are a fixed distance apart shown on the following slide. The charge on Q2 is +50 C located at the origin. The charge on Q1 is -86 C located at 52 cm to the right of Q2. The charge on Q3 is +65 C located at 30 cm above Q2. Identify the locations from the origin of a POSITIVE 4th charge, Q4, of +1 C so it does not feel a force due to charges Q1, and Q2. Q2 and Q3. How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

Applying Coulomb’s Law How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?

3D Angles, Trigonometry, and xyz-Components

Summary (Assignment from 2 classes ago) write down the locations for Coulomb’s Law Application Question #3 HW (Place in your agenda): “Foundational Mathematics’ Skills of Physics” Packet (Page 5) Web Assign Problems #4 Future assignments: Electrostatics Lab #2: Lab Report (Due tomorrow) Electrostatics Lab #3: Lab Report (Due in 4 classes) How do we use Coulomb’s Law and the principle of superposition to determine the force that acts between point charges?