AC Voltage in Pure resistor, Pure inductor and Pure capacitor

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 AC Circuits

1. Series RL Circuits2. Series RC Circuits

3. Series RLC Circuits

Series RL Circuits

• Drop across pure resistance, VR=I x R• Drop across pure inductance, VL=I x XL.• XL=2

Parallel AC Circuits

1. Parallel RL Circuits2. Parallel RC Circuits

3. Parallel RLC Circuits

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