Current Driven RLC Series AC Current Table

Current: I

Frequency (Hz)
f
Period(sec)
T
= 1/ f
Angular Frequency (rad/s)
w = 2p f

Resistance: R

VR(t) is in phase with I(t)
VR(t) peaks when the current peaks.

Inductance: L

VL(t) peaks 1/4 cycle ahead of the current peaks.
VL(t) leads I(t) by +p/2
XL = w L


Capacitance: C

VC(t) peaks 1/4 cycle after the current peaks.
VC(t) lags I(t) by p/2
XC = 1/w C

EMF Voltage of the Oscillator : e
(This is also the voltage across all the components)

Ve(t) = e(t)
Ve(t) leads/lags I(t) by f
Ve(t) peaks ahead I(t)
if f > 0
XL > XC
Ve(t) peaks after I(t)
if f < 0
XL < XC
Ve(t) peaks with I(t)
if f = 0

Voltages peak at different times:


Average Power:


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