the equivalent impedance of the circuit, Z and then fi nd I
V
Z
=
Z
ZZ
ZZ
=
+
=
∠×∠−
∠+∠−
=
12
12
15 625015 6240
15 625015 6240
243 9
..
..
.
°°
°°
8810
15 625015 625015 624015 6240
24
∠
++−
=
°
°°
°°
.cos.sin.cos.sin
jj
339810
15 62064156207615 62076156215620
.
........
∠
×+×+×−
−×
°
jj
j..64
or
/
Z
j
=
∠
−
=
∠
∠−
−
243 9810
21 86188
243 9810
21 941882186
1
.
..
.
.tan
..
°°
==
∠
∠−
=∠
243 9810
21 945
11 1215
.
.
.
°
°Ω
Total line current
I
V
Z
==
∠
∠
=∠−
2300
11 1215
20 6815
°
°
°
.
.A
Current I lags voltage V by 15°.
Power factor = cos f= cos 15°= 0.96 lagging
Magnitude ...
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