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Physics 4B Equation Sheet, Study notes of Physics

A list of equations and constants for various physics concepts covered in physics 4b, including electric and magnetic fields, capacitance, inductance, and circuits. It also includes some numerical values for reference.

Typology: Study notes

Pre 2010

Uploaded on 07/30/2009

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koofers-user-qc8 🇺🇸

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Physics 4B Equation Sheet
nqA
v
nqt
IB
BdvdEV
BANIB
ANI
BsIdFd
BLIF
BvqEqF
d
dHH
1
0
2
2
ˆ
4
2
AdB
AdB
r
I
B
r
NI
B
nIB
dt
d
IIIsdB
r
rsd
I
B
B
o
wire
o
toroid
osolenoid
E
oodo
o
)/(
/
0
/
Equations '
dtdIsdB
dtdsdE
AdB
QAdE
sMaxwell
BLv
sdE
dt
d
N
Eoo
B
o
B
loopclosedinsVnodesI
edische
RC
Q
tI
edischeQeQtq
eIeItI
eQeQtq
RRR
RRR
RCt
tRCt
t
o
RCt
o
tRCt
eq
eq
0';0'
arg)(
arg)(
)(
)1()1()(
...
111
..
/
max
/
max
/
max
//
/
max
/
max
21
21
RIRVVIP
TT
nqm
Emqv
I
V
A
L
R
E
EJ
nqvAIJ
dt
dQ
I
oo
e
d
d
22
2
/
)](1[
)/(
)/(
/
Lqp
EpUEp
EU
VQU
CQU
VCU
CCC
CCC
VQC
E
dipole
o
eq
eq
ovacuumplates
2
;
;)2/1(
)2/1(
/)2/1(
)2/1(
...
111
...
/
/
2
2
2
21
21
pf2

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Physics 4B Equation Sheet

nqA

v

nqt

IB V E d v Bd

B NIA B

NI A

dF Ids B

F IL B

F qE qv B

d

H H d

1 

   

   

 

 

  

   ^ 

 

  

  

   

 

2

B d A

B d A

r

I

B

r

NI

B

B nI

dt

d

B ds I I I

r

I ds r

B

B

o

wire

o

toroid

solenoid o

E

o d o o

o

( / )

/

0

/

' Equations

   

  

 

 

 

 

 

B ds I d dt

E ds d dt

B d A

E dA Q

Maxwell s

BLv

E d s

dt

d

N

o o E

B

o

B

 

 

 

  

 

 

 

 

I s node Vs inclosed loop

e disch e

RC

Q

I t

qt Q e Q e disch e

I t I e I e

qt Q e Q e

R R R

R R R

t RC

tRC t

t

o

t RC

o

t RC t

eq

eq

() arg

() arg

max /

/

max

/

max

/ /

/

max

/

max

1 2

1 2

P I V V R I R

T T

m nq

v q m E

I

V

A

L

R

E

J E

J I A nqv

dt

dQ

I

o o

e

d

d

2 2

2

[ 1 ( )]

  

 

p q L

p E U p E

U E

U Q V

U Q C

U C V

C C C

C C C

C Q V

E

dipole

o

eq

eq

platesvacuum o

 

 

  

2

;

( 1 / 2 ) ;

( 1 / 2 )

( 1 / 2 ) /

( 1 / 2 )

...

1 1 1

...

/

/

2

2

2

1 2

1 2

   

 

 

 

  

  

 

Physics 4B Equation Sheet

Miscellaneous

2 2

2 2

9 2 2

9

6 6

6

6

27

31

19

12 2

7

3 6 3

2

2

; ( 4 / 3 )

2 ; ; 4

  1. 9910 /

1 10. 001

1 10 ; 1 0. 001 10

2 f

constant

1 10

1 10

  1. 67 10

  2. 1110

  3. 602 10

4 10

1 10 10 10

0

2

1

V r LV r

A rL A r A r

k x Nm C

ns s s

C C A mA A

t

A A

C C

m x kg

m x kg

q x C

x C Nm

x Tm

MHz kHz Hz Ghz

U K

U q V

r

mv

F

K mv

cylinder sphere

cylinder ciccle sphere

coulomb

p

e

e

o

o

c

 

  

 

  

  

  

  

 

   

max

2 2

,

1 1

max max

2 2

2

2 2 2 2 2

sec sec

2

1

;

( )

tan cos

cos ; cos

cos

( )

1

2

rms

rms

L C

SERIES RLC L C

L C

rms

avg rms rms rms

o

o

o

o

ondary ondary

primary pr

V I

I

Z

X L X

C

Z R X X

X X R

R Z

i I t v V t

V R

P I V I R

R

f

LC

L

Q

R

V N

V N

  

  

 

 

 

 

 

  

 

  

   

 

 

 

2

sec

;

primary

eq Load

imary ondary

N

R R

N

 

 

 

 

c f ; k

F t=m v

(completereflectance,normal incidence)

(completeabsorption,normal incidence)

(completereflection,normal incidence)

(completeabsorption,normal incidence)

2 2 2 A

sin( )

cos( )

2

max

2

max

2 2

2

max

2

max max max

2 2

8

c

S

P

c

S

dt

dp

A A

F

P

c

U

p

c

U

p

c

S

c

B E I

u

u u u

u

B E

u u

Power

c

E B cB E

I S

A

Power

c

EB cB E

S E B S

E B c

E E kx t

E E kx t

c x m s

o^ avg

o

T avg

T B E

T avg

o

o

B E

avg

o o o

avg

o o o o

m

m

o o

t

LI

t

C

Q

U U U

t

LC

B

U LI u

e

R

V

e

R

V

I

e

R

V

e

R

V

I

M

I

N

M

I

N

M

dt

dI

V M

dt

dI

V M

I

N

L

dt

dI

L

dt

d

V N

L C

o

B

Rt L t

Rt L t

2

2

(^2) max

2

max

max

2

2

/ /

/ /

2

1 21

21

1

2 12

12

2

1 21

1

2 12

sin

cos

Q=Q cos( )

Circuits

 

 

2 2

2 2

2 2

2 2 2

2 2

2

2 2

2 2

2 2

2 2

x x a

x a

dx

x x a

x x a a

x a

x dx

x a

x a

xdx

x a

x a

xdx

ln

ln

ln