# Shared Flashcard Set

## Details

UP3 Equations
Equations for my university physics class
58
Physics
11/12/2012

Term
 Coulombs Law   Force between two charges
Definition
 F=1/(4piϵ0)*|q1q2|/(r2)
Term
 Electric Field
Definition
 E=F0/q0   E=1/(ϵ0pi4)*q/(r^2)ȓ (note: E is directional)
Term
 Electric Dipole Moment and Torque
Definition
 p=q*d   Ƭ=pEsin(ɸ)   Ƭ=p x E U=-p . E
Term
 Electric Field from Ring of Charge
Definition
 1/(4piϵ0)*qx/(x2+a2)3/2   When a ring charge is taken to its infinite limit, it resembles a point charge.
Term
 Electric Field Above One End of a Charged Line Segment
Definition
 E=1/(4piϵ0)*q/(x√[x2+a2])   when infinite    E=ƛ/(2piϵ0r)
Term
 Electric Field of Uniformly Charged Disk
Definition
 E=σ/(2ϵ0)*(1-1/(√[r2-x2]+1))   if disk is very large, or point is very close,   Acts as an infinite sheet of charge E=σ/(2ϵ0)
Term
 Electric Flux
Definition
 Electric Flux=∫Ecos(ɸ)dA =∫E⟂dA = ∫E . dA
Term
 Guass's Law
Definition
 Electric Flux=∮Ecos(ɸ)dA =∮E⟂dA = ∮E . dA = qenc/ϵ0
Term
 Electric Field from Conducting Sphere
Definition
 Outside sphere = point charge Inside = 0
Term
 Infinite Wire, Charge per unit Length ƛ
Definition
 E=1/(2piϵ0)*ƛ/r
Term
 Infinite Conducting Cylinder
Definition
 outside cylinder = infinite wire inside cylinder = 0
Term
 Two oppositely charged conducting plates with surface charge densities -σ and +σ   or    Charged Conductor
Definition
 E=σ/ϵ0
Term
 Electric Potentional Energy
Definition
 U=qq0/(4piϵ0r)    U=q0/(4piϵ0)(q1/r1+q2/r2+q3/r3+q4/r4....)
Term
 Electric Potential
Definition
 V=U/q0 =q/(4piϵ0r)    V=1/(4piϵ0)(q1/r1+q2/r2+q3/r3+q4/r4....) V=1/(4pi)∫dq/r Va-Vb=∫(from a to b)E . dl =∫(from a to b)Ecos(ɸ)dl
Term
 Relationship between Electric Field and Electric Potential
Definition
 E=-∇V
Term
 Capacitance
Definition
 C=Q/Vab=ϵ0A/d
Term
 Capacitors in Series
Definition
 (1/C1+1/C2)-1
Term
 Capacitors in Parallel
Definition
 C1+C2
Term
 Resistors in Series
Definition
 R1+R2
Term
 Resistors in Parallel
Definition
 (1/R1+1/R2)-1
Term
 Energy in a Capacitor
Definition
 U=Q2/(2C)=CV2/(2)=QV/2
Term
 Energy Density (in capacitor)
Definition
 u=ϵ0E2/2
Term
 Dielectrics
Definition
 C=KC0 C0 being the original capacitance Kϵ0=ϵ (permittivity)    KC0=Kϵ0A/d ∮KE . dA = Qencl-free/ϵ0
Term
 Current
Definition
 I=dQ/dt=n|q|vdA
Term
 Current Density
Definition
 J=nqvd (note: J and v are directional)
Term
 Resistivity
Definition
 ρ=E/J ρ(T)=ρ0[1+ɑ(T-T0)]
Term
 Ohm's Law    (and resistors)
Definition
 V=IR R=ρL/A
Term
 Energy from imperfect battery
Definition
 Vab=ℇ-Ir
Term
 Energy and Power in Circuits
Definition
 P=VabI=I2R=Vab2/R
Term
 Charging Capacitor
Definition
 q=Cℇ(1-e-t/RC)
Term
 Ƭ in RC Circuits
Definition
 Ƭ=RC
Term
 current in RC circuits
Definition
 i=dq/dt=ℇ/R*e-t/RC =I0e-t/RC
Term
 Magnetic Forces
Definition
 F=qv x B (Note: F v and B are directional)
Term
 Magnetic Flux
Definition
 Magnetic Flux =∫B⟂dA =∫Bcos(ɸ)dA =∫B . dA   ∮B . dA=0
Term
 Motion in a Magnetic Field
Definition
 R=mv/(|q|B)
Term
 Magnetic Force on a conductor
Definition
 F=Il x B   dF=I dl x B (Note: F, l, and B are directional)
Term
 Magnetic Torque
Definition
 Ƭ=IBAsin(ɸ)   µ=IA (A is directional in this instance)   Ƭ=µ x B
Term
 Potential energy of a magnetic moment in a magnetic field
Definition
 U= -µ . B = -µBcosɸ µ=IA
Term
 Hall effect
Definition
 nq=-JxBy/Ez
Term
 Magnetic Field of a Moving Charge
Definition
 B=(µ0qv x ȓ)/(pi4r2)
Term
 Magnetic Field of Current Carrying Conductor Biot Savart
Definition
 dB=(µ0Idl x ȓ)/(pi4r2)
Term
 BS of Finite wire of length L at distance R
Definition
 B=(µ0iL)*(R2+L2)-1/2/(4piR)
Term
 BS of semi infinite wire
Definition
 B=µ0i/(4piR)
Term
 BS of infinite wire
Definition
 B=µ0i/(2piR)
Term
 BS of Arc
Definition
 B=µ0iɸ/(4piR)
Term
 BS of current loop at distance X perpendicularly from center point
Definition
 a is radius Bx=(µ0Ia2)/(2(x2+a2)3/2)   when x is 0 but there are N multiple loops: Bx=µ0NI/(2a)
Term
 Magnetic force between Current Carrying Conductors
Definition
 F/L=µ0Il'/(r2pi)
Term
 Amperes Law
Definition
 ∮B . dl = µ0Iencl
Term
Definition
 ℇ=-d(magnetic flux)/dt
Term
 Motional emf
Definition
 ℇ=vBL =∮(v x b) . dl
Term
 Induced Electric Fields
Definition
 ∮E . dl= -d(electric flux)/dt
Term
 Mutual Inductance
Definition
 ℇ2=-Mdi1/dt  and  ℇ1=-Mdi2/dt    M=N2(electric flux 2)/i1=N1(electric flux 1)/i2
Term
 Self Inducatance
Definition
 ℇ=-Ldi/dt L=N(magnetic flux)/i
Term
 Magnetic Field Energy
Definition
 U=LI2/2
Term
 magnetic energy density
Definition
 u=B2/2µ0
Term
 Unit of Capacitance
Definition