AC Voltage in Pure resistor
V=rms value of the applied voltage I=rms value of currentR=resistance in ohms.
m
m
sin sin I Sin
I ,
m mV wt Vvi wt wtr R RVmR
AC Voltage in Pure inductance
• Current lags behind the voltage by π/2 and phasor diagram is shown in fig
• I=rms value of current, • V=rms value of voltage,
XL=wL=inductive reactance in ohm.
,
sin [ sin ]
sin cos sin2
sin2
sin2L
L
div Ldt
di v Vm t v vm tdt L LVm Vm Vmi tdt t tL L LVmi tL
Vmi tXVIX
AC through Pure capacitance
• The current leads the applied voltage by (π/2) and the phasor diagram is shown above
m
( sin )
cos
sin sin1 2 2
1
Imsin2
I ,
m
m
m m
c
c
m
c
dq d di C v C V tdt dt dtV C tV Vt t
XC
XC
i t
V VIX Xc
Series RL Circuits
• Drop across pure resistance, VR=I x R• Drop across pure inductance, VL=I x XL.• XL=2
Series Parallel AC Circuits
1. Series Parallel RL Circuits2. Series Parallel RC Circuits
3. Series Parallel RLC Circuits
Power in AC Circuits
1. Series Parallel RL Circuits2. Series Parallel RC Circuits
3. Series Parallel RLC Circuits