Electric Circuit Analysis

  Reciprocity Theorem 5.29

100

9 0 5 1000 100 0

1 1 2

2 1 2 2 1

i i i v t

i i i i i

s

+ − =

− + + + × =

( ) ( )

( ) .

Solving these two equations we get i

1

=

v t

s

( )

.9624 7

and i

2

= -0.9895 v

s

(t).

∴ =

+ × =v i i v t

oc s

0 5 1000 100 9 9

2 1

. . ( )

To find R

o

We assume that 1 V is applied across a-b after deactivating the circuit and find out the current

drawn by the circuit from this 1 V source. The value of current gives G

o

. The circuit required to solve

for R

o

is shown as circuit in Fig. 5.6-7 (b).

(b)(a)

9.9

b

a

b

a

9 kΩ

1 kΩ

1000

0.5 kΩ

5 Ω

100 kΩ

1 V

+

+

+

–

–

–

+

–

v

OC

R

O

i

v

x

v

S

(t)

v

x

Fig. 5.6-7 (a) Circuit for determining R

o

in Example 5.6-3 (b) The Thevenin’s equivalent

The ...