circuits are inseparable combination.c.
.c.
Z X
Z
Z
Z
Z
2
C
2
2 2
( )
55
2304 3025
5329
73
Ω
Ω
∴ 48
Resistance, inductance and capacitance a. phasor straight line,
having definite length and direction, which represents scale the magni-
tude and direction quantity such current, voltage impedance.c. circuit the current and voltage
waveforms remain together, starting and finishing the same time. circuit the current lags behind
the voltage waveform angle 90°. 10. say
that the waveforms are phase. say that the current lags
the voltage 90°.
To find the combined effect two quantities combine their phasors by
adding the beginning the second phasor the end the first.2.
Z X
Z
Z
Z
Z
2
L
2 2
( )
5 12
25 144
169
13
2 Ω
∴
Ω
Example 2
Calculate the impedance when 48Ω resistor connected series with 55Ω capacitive
reactance.
Definition
A phasor straight line, having defi-
nite length and direction, which rep-
resents scale the magnitude and
direction quantity such cur-
rent, voltage impedance.
When pure inductor connected a.c.Alternating current theory and electrical machines
197
Example 1
Calculate the impedance when resistor connected series with 12Ω inductive
reactance. The com-
bined effect the two quantities shown the resultant phasor, which
is measured from the original zero position the end the last phasor.c. circuit the
current leads the voltage angle 90°. Phasor
diagrams allow produce model picture the circuit under consid-
eration which helps understand the circuit. circuit
When resistor only connected a. When pure capacitor connected a.
PHASOR DIAGRAMS
Phasor diagrams and a. These various effects can be
observed oscilloscope, but the circuit diagram, waveform diagram
and phasor diagram for each circuit are shown Fig
