3.8.1 Power and Power Triangle of R–C Series Circuit
The expression for the voltage and the current is as follows:
vVt
iItIV
=
=+
m
m
asleads
sin
sin()
w
wf
The power is the product of the voltage and the current. The instantaneous power is given in the
following:
Pvi
VtIt
VItt
VI
=×
=×+
=+
=
mm
mm
mm
sinsin()
[sinsin()]
[c
wwf
wwf
1
2
2
1
2
oos()cos()]
coscos
()
−−+
=−+
fwf
fw
f
2
1
22
2
t
VI
VI
t
mm
mm
The second term is a cosine term whose average value over a complete cycle is zero. Hence, the
average power is consumed by the circuit is given as follows:
P
VIVI
PV
IV
I
av
mmmm
avrmsrms
W
==
==
2
22
co
sc
os
co
sc
os
ff
ff
The power triangle has been shown in ...
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