Class notes
Class notes UW PHYS122 (Phys122)
- Course
- PHYS122 (PHYS122)
- Institution
- University Of Washington
Class notes for UW PHYS122
[Show more]
Seller
Follow
Content preview
Constants Chapter 2219
Magnitude of electron charge e = 1.60 ⇥ 10 C q1 q2
Coulomb’s Law F~12
E
= k 2 r̂12
r12
Coulomb’s constant k = 8.99 ⇥ 109 N.m2 C 2
~r2 ~r1
Directional unit vector r̂12 =
1 r12
Permittivity of free space ✏0 =
4⇡k
12
✏0 = 8.85 ⇥ 10 C2 N 1
m 2
Permeability of free space µ0 = 4⇡ ⇥ 10 7
H.m 1 Chapter 23
31
Mass of electron me = 9.11 ⇥ 10 kg
Dipole moment (electric) p~ ⌘ qp~rp
Speed of light c0 = 3.0 ⇥ 10 m/s 8 P ~
Torque on electric dipole ~⌧ = p~ ⇥ E
~E
Electric field ~ ⌘ Ft
E
Mathematics qt
p
b± b2 4ac Induced dipole moment ~
p~ind = ↵E
2
Quadratic ax + bx + c = 0 x=
2a
Superposition of electric fields ~ =E
E ~1 + E
~2 + · · ·
~ =A
Adding vectors C ~+B
~ C x = Ax + B x
q
Uniform linear charge density ⌘
C y = Ay + B y `
q
~ = Ax î + Ay ĵ + Az k̂ Uniform surface charge density ⌘
Vector components A a
q
Uniform volume charge density ⇢⌘
✓ counterclockwise from x-axis Ax = A cos ✓, Ay = A sin ✓ V
~·B
~ = AB cos ✓ Electric field due to:
Scaler(Dot) product A
A point charge ~ s = k qs r̂sP
E
~·B
A ~ = Ax B x + Ay B y 2
8rsP
>
>
Vector(Cross) product ~ ⇥ B|
|A ~ = AB sin ✓ >
< 2kp if on y-axis
y3 ,
Dipole (aligned with y-axis, Ey ⇡
~⇥B
~ = ~ ⇥A
~ >
>
A B >
: kp
far from dipole) |x3 | , if on x-axis
Area sphere 4⇡r2
2k
An infinite line of charge Ex =
4 3 x
Volume sphere 3 ⇡r
s qz
A charged ring (on the axis) Ez = k
⌃ni=1 (xi xave )
2 (z 2 + R2 )3/2
Standard deviation =
n 1 1 1
A charged disk (on the axis) Ez = 2k⇡ z
|z| (z + R2 )1/2
2
Equations from 121 An infinite plane Ez = 2k⇡
8
>
>
>
<k rq2 , if r > R
Constant acceleration (x dir.) xf = xi + vx,i t + 12 ax t2
A thin spherical shell E=
>
>
vx,f = vx,i + ax t >
:0, if r < R
2 2
vx,f = vx,i + 2ax x
x = 12 (vx,i + vx,f ) t
Chapter 24
Kinetic energy K = 12 mv 2
P~ Z
F Electric flux = ~ · dA
E ~
Equation of motion ~a = E
m I
Interaction pair F12 = F~21
~ Gauss’s law E = E ~ = qenc
~ · dA
✏0
1
,Chapter 25 Chapter 14
q1 q2 1
Electric potential energy UE = `proper
4⇡✏0 r12 Z Length contraction `v =
B
Electrostatic work Wq (A ! B) = q ~ · d~`
E 1
A Lorentz factor ⌘q
v2
Potential (0 at 1) due to: 1 c20
1 X qn Time dilation tv = tproper
Point charges Vp =
4⇡✏0 rnP
1 q Lorenta trans frumation
A charged ring (on the axis) V =
tuew =
Z (t -
最 x ]
4⇡✏0 (z + R2 )1/2
2
⇣p ⌘ xew =
z ( x rt }
-
A charged disk (on the axis) V = z 2 + R2 |z|
2✏0 Chapter 28
1 q
A charged sphere (r > R) V =
4⇡✏0 r I
~ @V @V @V ~ · d~` = µ0 Ienc
Electric field (from potential) E= î ĵ k̂ Ampere’s law B
@x @y @z
~
Potential di↵erence VAB ⌘
Wq (A ! B)
Biot-Savart law ~ s = µ0 Id` ⇥ r̂sP
dB
4⇡ 2
rsP
q
I Z
Potential di↵erence closed path ~ · d~` = 0
E ~ =
B dB~s
current path
µ0 I
Magnetic field due to long wire B=
Chapter 26 2⇡r
Magnetic field due to solenoid B = µ0 nI
q
Capacitance C⌘ µ0 N I
Vcap Magnetic field due to toroid B=
✏0 A 2⇡r
Parallel plate capacitor C=
d
2⇡✏0 l
Coaxial cylindrical capacitor C=
ln(R2 /R1 )
V0
Dielectric constant ⌘ Chapter 31
Vd
Wnonelectrostatic
Emf E⌘
q J
2 Conductivity ⌘
Capacitor potential energy U E
= 1q
= 1 2 1 E
2 C 2 CVcap = 2 qVcap
ne2 ⌧
1 Conductivity metal =
Energy density uE = ✏0 E 2 me
2 l
Resistance R=
A
Chapter 27 |I|
Current Density J⌘
A
dq ~
eE
Current I⌘ Drift velocity ~vd = ⌧
dt me
⇣ ⌘
Electromagnetic force F~PEB = q E~ + ~v ⇥ B
~
Equiv. Resistance (series) Req = R1 + R2 + R3 + · · ·
I
Gauss’s law for magnetism = ~ · dA
B ~=0 1 1 1 1
B (parallel) = + + + ···
Req R1 R2 R3
B
~ Fw, max
Magnetic field (wire ? B) B⌘ Junction rule Iin = Iout
|I|`
Z
~ · dA
~ X X
Magnetic flux B = B Loop rule E+ V =0
Magnetic force F~wB = I ~` ⇥ B
~ = q~v ⇥ B
~ V
Ohm’s law I=
R
mv V
Particle in magnetic field R= Resistance R⌘
|q|B I
V2
Hall probe voltage across w V = vwB Power dissipated by a resistor P = V I = I 2R =
R
2
, Chapter 29 1
Resonant angular frequency !0 = p
LC
2π
=
f
1 B2 Xmax
Energy density uB ⌘ Rms Xrms = p
2 µ0 2
1
Inductor potential energy U B = 12 LI 2 Average power delivered Pav = Emax I cos
2
µ0 N 2 A Average power dissipated 2
Pav = Irms R
Inductance of solenoid L=
l
d B
Faraday’s law Eind =
dt
dI
Inductance Eind = L
Z dt
Magnetic potential energy UB = uB dV
Chapter 30
d E
Displacement current Idisp ⌘ ✏0
dt
1
EM wave speed c0 = p
✏ 0 µ0
I
Maxwell’s equations E ⌘ E ~ = qenc
~ · dA
I ✏0
B ⌘ B~ · dA
~=0
I
~ · d~` = d B
E
I dt
~ · d~` = µ0 I + µ0 ✏0 d
B
E
dt
Poynting vector ~⌘ 1E
S ~ ⇥B
~
µ0
Z
Power transported by EM wave P = ~ · dA
S ~
surface
Magnitudes E0 = c 0 B 0
Chapter 32
1
Capacitive reactance XC ⌘
!C ω= 2 π f
Inductive reactance XL ⌘ !L
Voltage across capacitor VC = IXC ow
freq fc
:
: 真
2π C
filter
Voltage across inductor VL = IXL
s ✓ ◆2
1
Impedance ZRLC ⌘ R2 + !L
!C
VR R
Power factor cos = =
Emax Z
Emax
Current amplitude I=
Z
3
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller yuzuclare. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $7.99. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
72841 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now