38. Final review today:

Review session 2: Tuesday, April 23, 6-9pm in Leacock 132 (SciCram).

Review session 1: April 19, from 2 to 5 pm at ENG MC 204.

Online final preparation tool: Mis-McLeap – a tool to address common misconceptions in E&M (very

relevant to the final). Will be online April 17-23. Does not count towards final grade.

Additional review tools:

Final Exam: Friday, April 26, 2-5pm

Final exam structure: 43 MCQ questions,

each question is out of 1 point:

For example Q1:

Correct Your answer Score

1 1 1

1 0 0

1 1 1

0 1 -1

0 0 0

------------------------------------------------

Total=1/3

Or example Q2:

Correct Your answer Score

0 0 0

1 1 1

0 0 0

0 1 -1

--------------------------------------------------

Total=0

Final exam structure: 43 MCQ questions,

each question is out of 1 point:

For example Q1:

Correct Your answer Score

1 1 1

1 0 0

1 1 1

0 0 0

0 0 0

------------------------------------------------

Total=2/3

Or example Q2:

Correct Your answer Score

0 0 0

1 1 1

0 1 -1

0 1 -1

--------------------------------------------------

Total=0

Acknowledgements:

• Ben (always present)• Dylan and Mir (pre-lecture quizzes)• Zahra and Simon (assignments)• Christina (exams)• Thomas and Vincent (tutorials)• Paul and TEAM members (Frezca)• Oulin (Sci-Cram) • Francois, Chen, Jose, Sujatha, Bill, Zoe and TEAM members (labs)

Acknowledgements:

• Ben (always present)• Dylan and Mir (pre-lecture quizzes)• Zahra and Simon (assignments)• Christina (exams)• Thomas and Vincent (tutorials)• Paul and TEAM members (Frezca)• Oulin (Sci-Cram) • Francois, Chen, Jose, Sujatha, Bill, Zoe and TEAM members (labs)

• Students in class (for staying engaged)

Weishaupt, Luca: 32/32

Kumar, Rahul: 32/32

Zhang, Yiming: 32/32

YILDIRIM, Beyza: 17/25

Post-test winners:

Weishaupt, Luca: 32/32

Kumar, Rahul: 32/32

Zhang, Yiming: 32/32

YILDIRIM, Beyza: 17/25

Post-test winners:

Class: Mean of post test: 47%

Weishaupt, Luca: 32/32

Kumar, Rahul: 32/32

Zhang, Yiming: 32/32

YILDIRIM, Beyza: 17/25

Post-test winners:

Class: Mean of post test: 47% (even before final reviews)

Who will be ?

A. Prime minister or president of a country

B. Teacher

C. Engineer

D. CEO of a big company

E. Creating a start-up

F. Obtaining a Nobel prize

G. Professor

H. Researcher

I. In Business

J. Other

How to prepare for the final:

“A lot of people want a shortcut. I find the best shortcut is the long way, which is basically two words: work hard.”― Randy Pausch, The Last Lecture

Practice

Explain

Read

Maxwell’s equations and E&M force:

Experiments:

ර𝐄 ⋅ 𝑑𝐀 =𝑞

𝜀𝑜ර𝐁 ⋅ 𝑑𝐀 = 0

ර𝐄 ⋅ 𝑑Ԧ𝐬 = −𝑑Φ𝐵

𝑑𝑡ර𝐁 ⋅ 𝑑Ԧ𝐬 = 𝜇𝑜𝜀𝑜

𝑑ϕ

𝑑𝑡

𝑭 = 𝒒𝒗 × 𝑩 + 𝒒𝑬

Formulas and concepts:

𝐼 =𝑑𝑞

𝑑𝑡

𝑍 = 𝑅2 + (𝜔𝐿 −1

𝜔𝐶)2

𝑢 =𝐵2

2𝜇+𝜀𝐸2

2

E&M and optics

What is E&M?

Most important concepts (all of you should know):

• Right hand rules

• E&M Force

• E-field

• Emf sources

• Circuit components

• Constants

• E&M Energy

• Refraction/reflection

• Image-object

Most important concepts:

• Right hand rules

A. A

B. B

C. C

D. D

E. E

Right hand rules

Ԧ𝑆 =1

𝜇0𝐸 × 𝐵

→ points in the directionof propagation

(4) wave propagation:

A. A

B. B

C. C

D. D

E. E

A. A

B. B

C. C

D. D

E. E

Most important concepts:

• Right hand rules

• E&M Force

A. A

B. B

C. C

D. D

E. E

Ԧ𝐹 = 𝑞 Ԧ𝑣 × 𝐵 + 𝑞𝐸

E&M Force:

A. A

B. B

C. C

D. D

E. E

Most important concepts:

• Right hand rules

• E&M Force

• E-field

A. A

B. B

C. C

D. D

E. E

Electric field:

Gauss’s law (electric):Mostly used to determine the electric

field in high symmetry problems (like

capacitors and spheres) or when the

charge distribution is not known

(dieletrics).

Coulomb’s law: When the

charges are known

Potential difference: 𝐸 = −Δ𝑉/𝑑

A. A

B. B

C. C

D. D

E. E

A. A

B. B

C. C

D. D

E. E

Most important concepts:

• Right hand rules

• E&M Force

• E-field

• Emf sources

Batteries=emf + internal resistance

Faraday’s law

AC source

Most important concepts:

• Right hand rules

• E&M Force

• E-field

• Emf sources

• Circuit components

R

L

C

A. A

B. B

C. C

D. D

E. E

Most important concepts:

• Right hand rules

• E&M Force

• E-field

• Emf sources

• Circuit components

R (V=RI) in phase with current

L (V=L𝑑𝐼

𝑑𝑡) precedes current

C (V=1

𝐶 𝐼𝑑𝑡) lags current

Most important concepts:

• Right hand rules

• E&M Force

• E-field

• Emf sources

• Circuit components

• Constants

c (big)

𝜀𝑜(very small)

𝜇0(small)

Most important concepts:

• Right hand rules

• E&M Force

• E-field

• Emf sources

• Circuit components

• Constants

• E&M Energy

𝑢 =𝐵2

2𝜇+𝜀𝐸2

2

Most important concepts:

• Right hand rules

• E&M Force

• E-field

• Emf sources

• Circuit components

• Constants

• E&M Energy

• Refraction/reflection

Snel’s lawsin(θt)

sin(θi)=𝑛𝑖𝑛𝑡

Refraction:

Brewster angle: tan(q𝐵) =𝑛𝑡𝑛𝑖

Critical angle: sin(q𝐶) =𝑛𝑡𝑛𝑖

Most important concepts:

• Right hand rules

• E&M Force

• E-field

• Emf sources

• Circuit components

• Constants

• E&M Energy

• Refraction/reflection

• Image-object

Magnification:

𝑚 =𝑦′

𝑦= −

𝑠′

𝑠

Object-image relationship:1

𝑠+1

𝑠′=1

𝑓

The lensmaker’s equation: 1

𝑓=

𝑛

𝑛0− 1

1

𝑅1−

1

𝑅2

Geometric optics:

Most important concepts:

• Right hand rules

• E&M Force

• E-field

• Emf sources

• Circuit components

• Constants

• E&M Energy

• Refraction/reflection

• Image-object

Team Scores

Points Team Points Team

3.94 Professor

3.73 Obtaining a Nobel

prize

3.4 Other

3 Researcher

3 Teacher

Participant Leaders

Points Participant Points Participant

6 Harms, Simon

6 Nguyen, Khoi

6 Sabot, Joel

6 Spilfogel, Toni

6 Viatteau, Jan

6 Weishaupt, Luca

6 Xu, Maosen

6 Zhang, Yian

5 Benoit, Luc

5 Brock, Gregory

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