Page 132 - Basic Electrical Engineering

Thus, we equate ∆ to zero.
1

or,

(24 − V) [66 − 18] + 2 [0 − (− 3V)] − 3[0 − 6 V] = 0

or, (24 − V) 48 + 6 V + 18 V = 0

or, 24 × 48 − 48 V + 24 V = 0

or, 24 V = 24 × 48

or, V = 48 Volts

2.7 NODAL VOLTAGE METHOD (NODAL ANALYSIS)

In the nodal analysis method a reference node in the network is chosen. Then
the unknown voltages at the other nodes are determined with respect to the

reference node. After determining the node voltages, currents in all branches
can be calculated. This method of circuit analysis is suitable where a network

has a number of loops, and hence a large number of simultaneous equations
are to be solved. The procedure for the node voltage method is explained

through an example.

Example 2.10 For the circuit shown in Fig. 2.29 determine the voltages at
nodes B and C and calculate the current through the 8 Ω resistor.