C
VC VR
R
I
I
VT VT
VR
FIGURE 10. The phasor addition these two voltages gives the mag-
nitude and direction VT, which leads the current some angle φ.
In circuit containing resistor and capacitor connected series as
shown Fig.6 show the voltage phasors, but we
know that IR, IXL, IXC and IZ, and therefore the pha-
sor diagrams (a) and (b) Fig. The voltage will phase with
the current and will lag the current 90°. circuit.7(b), by
the theorem Pythagoras, have:
( )
IZ IX
2 X
2
If now divide throughout I2
we have:
Z X
Z X
2 2
2 2
or
Ω
The phasor diagram can simplified the impedance triangle given in
Fig. 10.
The impedance triangle
We have now established the general shape the phasor diagram for a
series a. Figures 10. 10.6, is
lagging the current some angle φ.5 and 10.7(c). 10.6, the current will flow through the resistor and capaci-
tor causing voltage drops and VC. 10.Alternating current theory and electrical machines
199
scale and phase with the current and drawn scale and leading the
current 90°. The phasor addition these
voltages equal the total voltage which, can seen Fig.6
A series circuit and phasor diagram. 10.5
A series circuit and phasor diagram.
L
VL VR
R
I
VT
I
VL VT
VR
FIGURE 10.c.7 must equal.
. From Fig
