Physics 105 Spring 2011

Numbers: k =

1

4!"0

=9.0 × 109

!

N.m2

C2

me = 9.11 × 10-31 kg mp = 1.67 × 10-27 kg

!

µ0

= 4" #10$7T% m

A c = 3.00 × 108 m/s h = 6.63 × 10-34 J⋅s

e = 1.60 × 10-19 C G= 6.67 × 10-11

!

N.m2

kg2

g = 9.80 m/s2

R = 1.097 × 107 m-1 Equations: Geometry: Acircle = πR2 Asphere=4πR2

!

Vsphere =4

3"R 3

!

Vcylinder = "R 2h Ccircle = 2πR

!

Acylinder = 2"r 2 + 2"rh Mechanics:

v = v0 + at v2 = v02 + 2a(x-x0) v =

!

v f + v0

2

x = x0 + v0t + 12(at2) a =

v2r

!

vave

=d

t

F = ma W = Fd

!

KE = 1

2mv

2

PE = mgh P = W/t or E/t Physics this semester:

F =

!

kQ1Q2

r2

F = qE E =

!

kQ

r2

PE = qV

!

"V = #Ex"x ΔV=Ed

Physics 105 Spring 2011

V =

!

kQ

r Q = CV C =

!

K"oA

d

I = ΔQ/Δt V = IR PE =

!

1

2CV

2

!

R ="L

A

!

P = IV = I2R =

V2

R

!

Req = R1

+ R2+ ...

!

1

Req

=1

R1

+1

R2

+ ...

!

Irms

=I

0

2; V

rms=V

0

2

!

Vterm

=" # Ir

!

Vterm

="R

R + r

#

$ %

&

' ( F = qvBsinθ F = IlBsinθ

B =

!

µ0I

2"r B =

!

µ0IN

l F =

!

µ0I1I2l

2"d

v = E/B

!

" = #N$%

B

$t

!

" = Blv

!

" = NB#Asin(#t)

!

VS

VP

=N

S

NP

!

IPVP

= ISVS

!

"E =qenc

#0

!

"E = Ei

i=1

N

# $Ai cos% i = Ei perp

i=1

N

# $Ai

!

"B

= 0

!

"B = Bi

i=1

N

# $Ai cos% i = Bi perp

i=1

N

# $Ai

!

Bi

"

i=1

N

# $xi

"

cos% = Bix

i=1

N

# $xi= µ

0Iencl

+ µ0&0

$'E

$t

!

Ei

"

i=1

N

# $xi

"

cos% = Eix

i=1

N

# $xi= &

$'B

$t

!

v = f"

!

c =1

µ0"0

!

u =1

2"0E2 +1

2

B2

µ0

Physics 105 Spring 2011

I = P/A

!

Iave

=1

2"0cE

0

2

!

n =c

v

!

n1sin"

1= n

2sin"

2

!

f =r

2

!

1

do+1

di=1

f

!

m =hi

ho

= "di

do

!

mang =" #

#

!

mang =N

f

!

mang =N

f+1

!

"n

="

n

!

d sin" = m#

!

D sin" = m# E = hf hf = KEmax + W0

!

" =h

p

!

Ln

= mvnrn

!

hf = Eu " El

!

Ln

=nh

2"

!

rn

=n2h2

4" 2mke

2

!

En

= "2# 2

mk2e4

n2h2

!

1

"= R

1

# n 2$1

n2

%

& '

(

) *