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## Physics 2326 ElectroMagnetics Cheatsheet

by: Hasini Notetaker

587

9

2

# Physics 2326 ElectroMagnetics Cheatsheet Phys 2326

Marketplace > University of Texas at Dallas > Physics 2 > Phys 2326 > Physics 2326 ElectroMagnetics Cheatsheet
Hasini Notetaker
UTD

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This is a CHANGED cheatsheet for the upcoming exam which has all the equations and several diagrams to help understand the equations better. This can be used ON THE TEST :D i hope you find it usefu...
COURSE
Electromagnetics
PROF.
Dr. Lindsay King
TYPE
Study Guide
PAGES
2
WORDS
CONCEPTS
Electromagnetics, Test 2, cheatsheet, Physics 2326
KARMA
50 ?

## Popular in Physics 2

This 2 page Study Guide was uploaded by Hasini Notetaker on Saturday March 19, 2016. The Study Guide belongs to Phys 2326 at University of Texas at Dallas taught by Dr. Lindsay King in Winter 2016. Since its upload, it has received 587 views. For similar materials see Electromagnetics in Physics 2 at University of Texas at Dallas.

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Date Created: 03/19/16
CAPACITORS: Q Capacitors Capacitors Dielectirc C= V (Series) (Parallel) Original Capacitance: C0C=C k0 Q - same Q – different ϵ0 A V – different V – same C diel C= (parallel 1 1 1 C =C +C (die. Constant) k= d = + eq 1 2 C 0 C eq C 1 C 2 plate) Increase cap. Prop. To Cdiel = Qd vabEd= ϵ ϵ diel 0 A ϵ0 C = Charge (Farads) Energy stored in an Q = Current electric field: V = Voltage RESISTOR 1 U elec.QV Resistance: Resistors (paralleResistors Current – units = Amperes (A) ρL V – same (Series) dQ R= I – Same I= =AnV qd A I=I 1I 2I 3 dt V=I R(+1 =2)R T Resistivity: I= V + V + V charge A – area, n – num/vol, V-drift velocity, q – Ε R R R R TR +1 +2 3 ρ= 1 2 3 ∫ Idt=∫ dQIt=Q J EMF 1 = 1 + 1 I Ohm’s Law: R T R1 R2 Jε=Aenerdy current density V=IR charge (ideal energy/unit charge) V=ε−Ir Terminal Voltage: MAGNETIC E=Ir+IR FIELDS: Ideal emf: : Mag. Force on a moving Mag. Force in Circle Helical motion 2 charge (N) m v Component of velocity is ∥ to field | Bqv BF =c R | Bq (V ×B = q|||Bsinθ in addition to comp. ⊥ to field 2 ❑ qvB= mv =¿R= mv Pitch: how far along particle moves Particle is parallel to B: R qB in 1 rotation Cyclotron frequency: # of rev./unit | B0 ≠ of time Work = 0 b/c speed - Time for 1 orbit Particle is at angle to B: <use Electric Power: 2πm Kirchfrom x-axis>ommon sense): rate at which Time for 1 rev: t= qB d=vt when one branch splits into 2: energy is delivered Iintii1lI 2 to or extracted from a circuit element. (Watts) 2 P=V I=I = 2 V ab R ▯ ▯▯▯ ???? =  ????  ???? =  (parallel   Capacitors  (Series)    acitors  (Parallel)     Dielectirc  (usually  with  parallel?capacitance   :   ▯ ▯ Q  -­‐  same   Q  –  different   ▯▯▯▯▯ plate)         Original  Capacitance: ▯  ????   ▯     ▯ ▯              ???? =   ???? = ???????? =  ▯▯ (potential    )  –  different   V  –  same   ▯▯▯▯▯ ▯▯ ▯▯▯ 1 1 1 Increase  cap.  Prop. ▯▯▯▯   ▯▯   =   v  =  work/charge  =  J/c  =  =olt +     ????▯▯ = ???? ▯ ???? ▯ K  =2  à  2x  increase  in  capacitance   S  d   ???? ???? ???? ▯ ▯ ▯ A ???? =   = ???? = ????      ???? = ????????   ▯ ▯ ????▯=        ???? =   ▯     (when  constant  Q)  ???? = C ???? ???? ???? ???? Energy  stored  in  cap.   ▯▯ ▯ ▯ ▯ ▯ ???? ▯ 1 1 ???? ???? cylindrical  Capacitor:   ???????? = = ???????? = ????????   ???? = ???????? =▯???????? ▯ = ????   ???? ???????? 2???????? ▯ 2???? 2 2 ???? ▯ ???? ▯ ???? = = ???? ???? = ▯   ▯ ▯ Electric  Energy  Density:  ???? =▯   ???????? ???? = ????????   ???? ???????? ▯ ???????? ???????? ▯▯▯▯▯▯▯ = ▯  ▯ ????                         ▯ 2???????? ▯ ????▯ ▯ Keep  battery  connected,  insert  Diel:    Q  increases,   C  =  Charge  (Farads)   V  same    = ????????  =   ???????? ????         Energy  stored  in  an  electric  field:   ▯▯▯▯. ▯ ▯ ▯ Q  =  Current  (coulombs)   ▯ ▯ Disconnect  battery,  insert  diel:    Q  same   V  =  Voltage  (volts)   ???? ▯▯▯▯.=   ????????   ▯▯▯▯▯▯▯ =   ▯ ????   ▯ ▯ ▯ ▯ ???????? = ???? = ????   ▯▯▯▯. 2???? 2???????? ▯ ▯ If  the  electric  field  is  strong  enough,  dielectric   Resistivity:  ???? =    (Ω*m)  istors  (Series) I  –      istors  (parallel)   Current –  units  =  Amper    (A) ▯ ▯▯        Conductivity:    ???? ???? + ▯ ▯ ) = ???????? ▯   V  –  same   ???? =   = ???????????? ???? ▯       ▯ ???? ▯ ???? + ????▯+ ???? ▯    ▯ ???? = ???? ▯ ???? + ▯  ▯                A  –  area,  n  –  num/vol(density),  V-­‐drift  velocity,  q  –  charge    Dependent  on  material (effective  resi  ce) ???? ???? ???? S ▯▯ ???? =   + +   R Resistance:  ???? = ▯    (Ω,ohms)   ???? ???? ???? ▯ ???????????? = ▯ ????????                                ???????? = ????            More  material  =  ↑  resis.   ▯ ▯ ▯ ▯ 1 1 1 ???? = = ???????????? ▯    current  de  y Ohm’s  Law (potentia:  ???? = ????????   ???? = ???? + ????   ▯ (I  =  current)   ▯ ▯ ▯          series:  Potential  drops  can   be  different  but  Current  =   Electromotive  Force:  (EMF)  units:  V   same   ???? = ▯▯▯▯▯▯ (ideal  energy/unit  of  charge)          parallel:    V  =  same   ▯▯▯▯▯▯ real  sources  contain  internal  res  nce  r Voltmeter  (measures  potential  difference  btwn  its  terminals)     Kircheff’s  Law  (common   ???? = ????????  o▯▯ =  ℰ − ????????   Terminal  Voltage: ▯▯???? =  ℰ − ????????   sense):  when  one  branch Ammeter(measures  current  through  it)     ▯ ???? Ideal  emf: :  ℰ = ???????? + ????????     ▯▯▯    ???? =   splits  int▯▯▯▯▯▯▯ ????▯+ ???? ▯   ???? =     ???? + ???? Voltage  =  change,  current   ≠change     Electric  Power:  rate  at  which  energy  is   delivered  to  or  extracted  from  a  circuit   element.  (Watts)     ▯ ???? = ???? ???? = ???? =   ▯                  E=  Pt          W  =  Pt   ▯▯ ▯ Mag.  Force  on  a  moving  charge  (N)Mag.  Force  in  Circle   ???? = ℰ???? − ???? ????   (ideal-­‐rate  of  dis.  Inside  battery ,  pwr  output)   |????▯ | = ???? ????×???? = ???? ???? ????????????????????   ???????? ▯ |????▯ | = ????????????     ▯               ???? =                        Particle  is  parallel  ▯o = 0    ???? ???? Common  Unit  conv.     : Particle  is  at  angle  to  B:  <use  ????  fro????????  x-­‐ ???????? Mega            M              10   C   ???????????? =    => ???? =             3 A axis>   ???? ???????? Kilo       2            k                10   M Particle  is  ⊥: =   ???? ???? ????   Hecto            h                10   ▯ Work  =  0  b/c  speed  ≠  change.   Deca                da            10 Right  hand  rulhand  points  at  V,  fKE  =  constant   -­‐1   curl  in  direction  of  B  and  point  thumb  out   Deci                  d                10   Motion  of  charged  particles   Centi                c                10 à  direction  of  F   Charged  particle  always  moves     -­‐3          Magnetic  field  lines     “Lines  of  force”  B Milli                    m            10 with  const.  speed.     Micro                µ            10     -­‐9   Helical  motion   Nano     -­‐12           n            10 ????▯  =  8.85 F/m  0 Component  of  velocity  is  ∥  and  ⊥  to  field   Pitch:  how  far  along  particle  moves  in  1  rotation   Cyclotron  frequency:    #  of  rev./unit  of  time                                                                                Time  for  1  orbit   ▯▯▯ Time  for  1  re▯▯                ???? = ????????

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