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UTD / Physics / PHYS 2326 / What is formula of gauss’s law?

What is formula of gauss’s law?

What is formula of gauss’s law?

Description

School: University of Texas at Dallas
Department: Physics
Course: Electromagnetics
Professor: Lindsay king
Term: Winter 2016
Tags: Physics 2326, Electromagnetics, cheat sheet, exam3, and final
Cost: 50
Name: Exam 3 Cheatsheet
Description: Here is a compilation of all of my notes and the stuff we have covered over in class. It was really hard to find pictures for these so, if you would like pictures, you may draw them in :). I believe a lot of the stuff is in this so if you have any questions, let me know!
Uploaded: 04/28/2016
1 Pages 25 Views 8 Unlocks
Reviews


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

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