Gauss’s law:  �6 = ������ E.F In closed surface: (Nm2/c) �6 = ∬ ��� = 0

What is formula of gauss’s law?

Maxwell’s equations:

�E = ∫ � ⋅ �� = ��J 

Moving charge:           �6 = �(������)

On individual charge: �6 = ��;�

On section of wire: �6 = �ℓ� sinϕ

�6 = �ℓ ×� = �|ℓ||�|����         �6 = �ℓ�     ????external

What is maxwell’s equations?

Need to use 2 RHR to find F

1. Find which way B, I = thumb, B = way fingers wrap around 2. Regular Right Hand Rule   v=fingers, B = way fingers curl, FB = thumb

Lorentz Force- Particles  moving in an electric field �" = �%� + (�×�)-  (N) If you want to learn more check out What is aspirin?

�� = ��� � = ��     012 

3 = ���         � = 01 

What is lorentz force?

Thomson’s Experiment-measure of  particle (electron) speed If you want to learn more check out What is the meaning of personalized?

In an electron field: ���� = 51; 0<1=2

Coulomb’s Law-electric force  between 2 protons

�6 = ��;� If you want to learn more check out Adult to adult liver transplants began in the u.s. in what year?

charge has drift velocity: �; = ST �6 = ��������

�6 = 5T������   ???? �� ����� � = 56     �V = �� �����

56

  ������ = � × � = ������ Magnetic moment � = ��

�E = 1

4��J 

B = de 

�c`

�` 

fg ∙5h1 We also discuss several other topics like Who is herbert hoover?

Magnetic Force on Proton 1 �6 = �(��)

Magnetic field:

� = �J 

4� ∙��×�̂

�` = �J 

fg ∙51×3̂ 

32 = de 

���

32 

�6 = �c� �J If you want to learn more check out What happens to the market for gas when the price of steel falls?

4� ∙�c�

�` = �J 

4�

ij 

��� �` 

ik= 12 

�` 

� = 1

�

ik= �J�`�J �J�J = lm2ij 

m Wires goes between A and  2 –A:

4�

� = �J�

4��J 

�` 

�E= �` 

2��

Fields due to I2, FB on 1 If you want to learn more check out What is dipole ­induced dipole ?

3D Loop thing: �� = de 

o;ℓ×3̂

32   ???? �p = qdeo

�J�J = 1�`�6 

�` 

�6 = �l��` = �l��J� 2��

(loops for binding)

fg

`r

�� = de fg

o;ℓ×3̂

32           

Between North and South Poles: (with wire) ��

Ampere’s Law: field of current carrying wire (closed  loop)

`g

�� = ���� �� ����� �� �/�

��6 

�� = ���(�)(�) = ���

�� = (��`)(0.02)

∫ � ∙ �ℓ = ∫ �� �� = s �J 2�

J

s � ∙ �� = ����������� ∫ � ∙ �ℓ `g 

�

���� = �J�

��� = è;êj 

;T = � (resistance)

;êj 

;T = ����� ;6 

;TCommon Unit conv.  

J = �J�                     � = deo

`g3

Amorphous blob thing: enclosed Amps = sum of + and -.    ��������� = sum of all Amps

Circle: ∫ � ∙ �ℓ = �J�ÄÅÇÉ ???? � 2��

Hollow Cylinder: ∫ � ∙ �ℓ = �J� g32 

gÑ2   � = deo3

`gÑ2    (r <R)

∫ � ∙ �ℓ = �(2��l) = �J�            � = deo `g3Ö      (r > R)    

Gauss’s Law of Electric Fields: �E = ∬ � ∙ �� = �ÄÅÇÉ 

�J 

Gauss’s Law for B fields: �E = ∬ � ∙ �� = 0

Ampere’s Law:

∫ � ∙ �ℓ = �J�ÄÅÇÉ + maxwell  term

Faraday’s Law:

��� = − ;êj 

;T      (rate at which  

magnetic flux changes)

Mega      M      106 Kilo          k       103 Hecto      h        102 Deca        da    101 Deci         d       10-1 Centi        c      10-2 

Milli          m     10-3 Micro        µ     10-6 Nano         n      10-9 �J = 8.85 x 10-12  F/m