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Key Equations

AC voltage v=V0sinωtv=V0sinωt
AC current i=I0sinωti=I0sinωt
capacitive reactance V0I0=1ωC=XCV0I0=1ωC=XC
rms voltage Vrms=V02Vrms=V02
rms current Irms=I02Irms=I02
inductive reactance V0I0=ωL=XLV0I0=ωL=XL
Phase angle of an RLC series circuit ϕ=tan−1XLXCRϕ=tan−1XLXCR
AC version of Ohm’s law I0=V0ZI0=V0Z
Impedance of an RLC series circuit Z=R2+(XLXC)2Z=R2+(XLXC)2
Average power associated with a circuit element Pave=12I0V0cosϕPave=12I0V0cosϕ
Average power dissipated by a resistor Pave=12I0V0=IrmsVrms=Irms2RPave=12I0V0=IrmsVrms=Irms2R
Resonant angular frequency of a circuit ω0=1LCω0=1LC
Quality factor of a circuit Q=ω0ΔωQ=ω0Δω
Quality factor of a circuit in terms of the circuit parameters Q=ω0LRQ=ω0LR
Transformer equation with voltage VSVP=NSNPVSVP=NSNP
Transformer equation with current IS=NPNSIPIS=NPNSIP
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