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