Network Analysis and Synthesis, 1st Edition by Pearson

120 Network Analysis and Synthesis

Since this is a series circuit, the current fl owing through the circuit components is the same.

The circuit current can be calculated by using any of the following relations:

I

V

Z

I

V

Z

I

V

ZZ

===

+

1

1

2

21

2

or or

Accordingly,

I

V

Z

==

∠

∠

=∠−

1

1

120 30

15 40

810°A

Since the same current will fl ow through Z

2

, it can be written as follows;

Z

V

I

j

2

2

139 6254

810

17 45 15 4

17 45 15 41

==

∠−

∠−

=∠−

=−

..

..

.(cos. sin

°

°

° 554

17 45 0 964 17 45 0 2656

16 82 46

.)

.. ..

..

°

=×−×

=− =−

j

jRjXΩ

c

Example 3.10 An alternating voltage V = (160 + j170)V is connected across an L–R series

circuit. A current of

Ij=−()

12

5A

fl ows through the circuit. Calculate impedance, po