0195136047.pdf

2.2 NODE-VOLTAGE AND MESH-CURRENT ANALYSES 73

EXAMPLE 2.2.1

By means of nodal analysis, find the current delivered by the 10-V source and the voltage across
the 10-resistance in the circuit shown in Figure E2.2.1(a).

20 Ω 25 Ω

5 Ω

8 Ω

4 Ω

10 Ω

(a)

10 V

20 V

+

− +

−

Figure E2.2.1

= 0.2S

O Reference

(b)

A

B

C

1

5

(^18) = 0.125 S
= 0.25 S
20/4 = 5 A
1
4
(^105) = 2 A 201 = 0.05 S 251 = 0.04 S
20 Ω 25 Ω
5 Ω
A
B
O
C
8 Ω
4 Ω
10 Ω
(c)
10 V
20 V

• − +
  −
  Solution
  STEP 1: Replace all voltage sources with series resistances by their corresponding Norton
  equivalents consisting of current sources with shunt conductances. The given circuit is redrawn
  in Figure E2.2.1(b) by replacing all resistors by their equivalent conductances.