# Shared Flashcard Set

## Details

Physics GRE - E & M
E&M
45
Physics
10/21/2012

Term
 E for an infinite charged plate:   E=
Definition
 =σ/(2ε0)
Term
 Capacitence of parallel plate capacitor:   C=
Definition
 =ε0A/d
Term
 Torque on a loop of wire in a magnetic field:     τloop=
Definition
 =IA x B
Term
 E between parallel plates:   E=
Definition
 =σ/ε0
Term
 B for infinitely long wire:   B=
Definition
 =1/(4πa) *μ0I
Term
 E for spherical distribution, r>a:   Esphere=
Definition
 =kQ/r2
Term
 Voltage induced in a coil:   V=
Definition
 =-NBAcosθ
Term
 E for infinite cylinder, r>a:   Ecylinder=
Definition
 =2kλ/r
Term
 E for a spherical distribution, r
Definition
 =kQr/a3
Term
 B for a solenoid:   B=
Definition
 =μ0nI   (n= number of loops / unit length)
Term
 E for infinite cylinder, r
Definition
 =2kλr/a2
Term
 Inductance for a solenoid:   Lsolenoid=
Definition
 =μ0n2V
Term
 B for a toroid:   Btoroid=
Definition
 =μ0NI/(2πr)   (N= total number of loops)
Term
 Electric potential energy:   ΔUe=
Definition
 =-q∫E ·ds  =qV =W
Term
 Voltage across resistor:   ΔV=
Definition
 =IR
Term
 Potential difference:   ΔV=
Definition
 =-∫E ·ds =EΔx =kq/r
Term
 Angular frequency:   ω=
Definition
 =2πf
Term
 Boundary Conditions for E field:
Definition
 Tangential component is continuous   Normal component is discontinuous iff σ≠0
Term
 Lorentz force:   F=
Definition
 =q(E+v x B)
Term
 Natural frequency for an LC circuit:   ω0=
Definition
 =1/√(LC)
Term
 Capacitence:   C=
Definition
 =Q/ΔV
Term
 Parallel circuit:   ΔVT= QT= Ceq= RT=
Definition
 ΔV1=ΔV2=... =Q1+Q2+... =C1+C2+... 1/RT=1/R1+1/R2+...
Term
 Electrical Work:   W=
Definition
 =ΔQΔV
Term
 Average Power from E and B:   Pavg=
Definition
 =SavgA
Term
 ∫B · ds = (closed integral)
Definition
 =μ0I
Term
 D Field: D=   H Field: H=
Definition
 =εE       =B/μ
Term
 Inductance Definition:   L=
Definition
 =NΦ/I   (Φ = flux)
Term
 Torque on dipole in E field:   τ=
Definition
 =p x E (p = electric dipole moment = qd)
Term
 Maxwell's Equations:
Definition
 del · D = ρf   del x E = - ∂B/∂t   del · B = 0   del x H = Jf + ∂D/∂t
Term
 Induced motional EMF:   Vmotion=     Motional E Field:   Emotion=
Definition
 =Bvl       =v x B
Term
 Current Density:   J=
Definition
 =σE =nqvd =ρv   (n= charge-carrier density)
Term
 Electrical Power:   P=
Definition
 =IΔV
Term
 Wave number:   k=
Definition
 =2π/λ
Term
 E=
Definition
 =k∫dq/r2
Term
 Series Circuit:   QT= ΔVT= Ceq= R=
Definition
 =Q1=Q2=... =ΔV1+ΔV2+... 1/Ceq=1/C1+1/C2+... =R1+R2+...
Term
 Total energy density:   u=     uavg=
Definition
 =uE+uB =B2/μ0 =ε0E2 =½ε0Emax2 =B2/(2μ0)
Term
 Average Poynting vector:     Savg=
Definition
 =I =EmaxBmax/(2μ0) =cuavg
Term
 Pressure from EM wave:   Preflect=   Pabsorb=
Definition
 =2S/c     =S/c
Term
 Magnetic Flux:   ΦB=
Definition
 =∫B · dA =(closed)∫B · dA =0
Term
 Poynting Vector:     S=
Definition
 =1/μ0 E x B =E2/(μ0c)   =cB2/μ0
Term
 self-induced EMF:   EL=
Definition
 =-L dI/dt
Term
 Energy stored in a capacitor:   U=
Definition
 =Q2/(2C) =½ QΔV =½CΔV2
Term
 ∫E·ds=
Definition
 =-dΦB/dt
Term
 c
Definition
 1/√(μ0ε0)
Term
 Comditions for reflection of TEM wave:
Definition
 Et=0   Bn=0
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