physics 105 spring 2011 - hamilton college exam formulas.pdf · physics 105 spring 2011 numbers: k...
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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
%
& '
(
) *
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