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Formulas of the electric and magnetism, Study notes of Electromagnetism and Electromagnetic Fields Theory

Isik University Electromagnetism and Electromagnetic Fields Theory

That PDF covers the all formulas for electric and magnetism lecture

Typology: Study notes

2022/2023

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Formula Sheet (PHYS 1112 Physics – Electricity and Magnetism)

Electric field and Force

2

0

1ˆˆ

,1

4

q

E r r

r





F qE

0

line 2r

E







sheet 0

/2E





para.plates 0

/E





 

dipole momentp qd

dipole dipole

, sinp E pE

  

  

cosU p E pE



   

cos

EE A EA



   

EE dA  



 

encl

0

Gauss's law

q

E dA







Electric Potential

2

1

U W F dr     



0

qq

Uk

r



0

q

U

Vk

qr



2

1

V E dr   



ˆ

ˆˆ

, E V i j k

x y z

  

      

  

Capacitance

0

AQ

CdV





00

Q

EA







0

Qd

V Ed A





22

11

2 2 2

Q

U CV QV

C

  

 

2

10

2 energy density in vacuum

E

uE





0

C KC

0

K





 

12 parallel

eq

C C C  

 

12

1 1 1 series

eq

C C C

  

Circuits and Ohm’s law

d

dq

I nq A

dt





I

JA



1E

J





   

00

1T T T

  

  





V IR

terminals

V Ir





2

2V

P IV I R R

  

 

12 series

eq

R R R  

 

12

1 1 1 parallel

eq

R R R

  

 

0 loopV



 

0 junctionI



RC





 

/

01 charging

t

Q t Q e



-

-

   

/

0 charging

t

I t I e



-

   

/

0 discharging

t

Q t Q e



-

   

/

0 discharging

t

I t I e



-

0

Q

I





Magnetism

B

F q B





B

F I B

cos

BBA





B

d B dA  

 

Gauss's law0 B dA



 

02Biot-Savart Law

ˆ

4

Id r

dB r









mag.dipole B





IA





cosU B B

  

    

0

wire 2

I

Br







solenoid 0

B nI





 

0 encl Ampere's law B d I







Induction

 

Faraday’s law

B

d

dt





-

BL





B

d

E dr dt





-

 

d0 Displacement current

E

d

Idt







 

0 encl Ampere's law()

d

B d I I



  



2 21

1

N

MI





B

N

LI





dI

Ldt



-

2

1

2

U LI

 

2

0

in vacuum

2

B

u





 

2

in dielectric

2

B

u





L

R





 

/increasing current1

t

Ie

R





-

-

 

/

0decaying current

t

I t I e







1

LC





Electromagnetic Waves

00

1

c





Ec

Bk





   

0ˆ

, cosE z t E kz t x





   

0ˆ

, cosB z t B kz t y





 

0

Poynting vector

1 S E B





22

0 0 0

0

22

c E cB

IS





  

1S

dp

PA dt c



Often downloaded together

Physics 2 UF formula sheet

Electric field formula sheet

(1)

Physics I & II formulas sheet

Lab 2 - Geometrical Optics - Experiment Physics III | PHYS 375

Geometrical Optics - General Physics II – Experiment 4 | PHYS 212

Partial preview of the text

Download Formulas of the electric and magnetism and more Study notes Electromagnetism and Electromagnetic Fields Theory in PDF only on Docsity!

Formula Sheet (PHYS 1 112 Physics – Electricity and Magnetism)

Electric field and Force

2 0

q E r r

 r

F  qE

line (^2 0) r

E

 

E sheet   / 2 0

E para.plates   / 0

p  qd  dipole moment

dipole  p  E , dipole pE sin

U   p E   pE cos 

 (^) E  E A   EA cos 

E   E dA 

encl

0

Gauss's law

q E dA

Electric Potential

2

1

 U   W   F dr 

q q 0 U k r

U q 0 V k q r

2

1

 V   E dr 

E V , i j k x y z

Capacitance

0

A Q

C

d V

0 0

Q

E

A



 

0

Qd V Ed

 A

2 1 2 1

Q

U CV QV

C

1 2 2 0 energy density in vacuum E

u   E

C  KC 0

  K  0

Ceq  C 1  C 2   parallel

1 2

series C eq C C

Circuits and Ohm’s law

d

dq I nq A dt

I J A



E 1

J

 

  T    0  1   T  T 0 

V  IR

V terminals   Ir

2 2 V P IV I R R

Req  R 1  R 2   series

1 2

1 1 1 parallel R eq R R

  

 V^ ^0 ^ loop

 I^ ^0 ^ junction

 RC

/ 0 1 charging

t Q t Q e

 

/ 0 charging

t I t I e

 

/ 0 discharging

t Q t Q e

 

/ 0 discharging

t I t I e

 

0 0

Q I 



Magnetism

FB  q   B

FB  I  B

 B  BA cos 

d  (^) B  B dA 

B dA   0  Gauss's law

0 2 Biot-Savart Law

Id r dB r

mag.dipole

   B

 IA

U     B   B cos

0 wire 2

I B r



B solenoid   0 nI

B d    0 I encl  Ampere's law

Induction

 Faraday’s law

d B

dt

 -

  BL 

d B E dr dt

  

d 0 ^ Displacement current

d E I dt

 

B d    0  I encl  Id (Ampere's law )

2 21

1

N

M

I

N B L I

 

dI L dt

(^12)

2

U  LI

2

0

in vacuum 2

B

u 

2

in dielectric 2

B

u 

L

R

 ^ ^ 

/ 1 increasing current

t I e R



/ 0 decaying current

t I t I e

  

LC

Electromagnetic Waves

0 0

c

E c B k

 

E  z t ,   E 0 cos kz   t  x ˆ

B z t  ,   B 0 cos kz   t  y ˆ

0

Poynting vector

S E B

2 2 0 0 0

(^2 )

c E cB I S





1 dp S P A dt c

 

Fundamental Constants

Quantity Symbol Approximate Value

Gravitational acceleration (Earth’s surface) g 9.81 m/s^2

Elementary charge e 1.60  10 ^19 C

Electron rest mass me 31 9.110 10 kg

 

Proton rest mass mp

27 1.673 10 kg

 

Neutron rest mass mn

27 1.675 10 kg

 

Atomic mass unit u 1.661 10  ^27 kg

Speed of light in vacuum c 3.00  108 m/s

Coulomb constant

k 1/(4  0 )

9 2 2 8.99  10 N m / C

Permittivity of free space

12 2 2 8.85 10 C / N m

  

Permeability of free space

7 4   10 T m/ A

Electron-volt 1 eV 1.60  10 ^19 J

Metric (SI) Multipliers

Prefix Abbreviation Value

peta P 10 15

tera T 10 12

giga G 10 9

mega M 10 6

kilo k 10 3

hecto h 10 2

deca da 10 1

deci d 10

1

centi c 10

2

milli m 10

3

micro μ 10

6

nano n 10

9

pico p 10

12

femto f 10

15

Formulas of the electric and magnetism, Study notes of Electromagnetism and Electromagnetic Fields Theory

Often downloaded together

Related documents

Partial preview of the text

Download Formulas of the electric and magnetism and more Study notes Electromagnetism and Electromagnetic Fields Theory in PDF only on Docsity!

Formula Sheet (PHYS 1 112 Physics – Electricity and Magnetism)

 r

E

E para.plates   / 0

p  qd  dipole moment

U   p E   pE cos 

A Q

C

Q

E

A

 A

Q

U CV QV

C

u   E

C  KC 0

  K  0

Ceq  C 1  C 2   parallel

  T    0  1   T  T 0 

V  IR

V terminals   Ir

Req  R 1  R 2   series

 V^ ^0 ^ loop

 I^ ^0 ^ junction

 RC

 B  BA cos 

B dA   0  Gauss's law

   B

 IA

B solenoid   0 nI

B d    0 I encl  Ampere's law

 Faraday’s law

  BL 

d 0 ^ Displacement current

B d    0  I encl  Id (Ampere's law )

N

M

I

B

B

 ^ ^ 

LC

E  z t ,   E 0 cos kz   t  x ˆ

B z t  ,   B 0 cos kz   t  y ˆ

S E B

k 1/(4  0 )