AY 2013-2014 S1
1. Consider the linear resistive network as in Figure 1.
(b) Using symbolic expressions, write the minimum set of equations using the nodevoltage method (without actually solving the circuit).
(c) Using symbolic expressions, write the minimum set of equations using the meshcurrent method (without actually solving the circuit).
(d) Based on the numerical values provided in Figure 1, determine the voltage at each
node. (Hint: you might want to make good use of the equations derived so far).
(f) Based on the numerical values provided in Figure 1, determine the power generated or
dissipated by each element of the network. For the sources, you should clearly denote
when power is generated or dissipated.
I3
Va
V0
I1
Va  V 0 Va  Vb

 I 0  R 2  R3
(b) 
Va  Vb Vb Vb  V 0



R4
R1
 R3
( I1  I 3) R 2  Va  V 0


( I 2  I 3) R3  I 2 R 4  Va

(c) 
 I 3R1  ( I 3  I 2) R3  ( I 3  I1) R 2  0

I 2  I1  I 0
 2Va  Vb  110 Va  68V

(d) 
Va  3Vb  10 Vb  26V
100( I1  I 3)  Va  10
 I1  0.74 A
 200 I 2  100 I 3  Va


  I 2  0.26 A

 3I 3  I 2  I 1  0
 I 3  0.16 A


I 2  I1  1
(f) P(V0)=-V0*I1=0.74*10=7.4W,
Vb
I2
P(I0)=-I0*Va=-1*68=-68W,
P(R1)=(V0-Vb)*I3=2.56W,
P(R2)=(V0-Va)*(I1-I3)=33.64W,
P(R3)=(Va-Vb)*(I2-I3)=17.64W,
P(R4)=Vb*I2=6.76W
P(V0)+P(R1)+P(R2)+P(R3)+P(R4)=68W
I0 is to generate power, V0, R1, R2, R3, R4 are dissipating power.
Try this similar question in AY 2013-2014 S2by yourself
(b) Using symbolic expressions, write the minimum set of equations using the nodevoltage method (without actually solving the circuit).
(c) Using symbolic expressions, write the minimum set of equations using the meshcurrent method (without actually solving the circuit).
(d) Based on the numerical values provided in Figure 1, determine the voltage at each
node. (Hint: you might want to make good use of the equations derived so far).
(f) Based on the numerical values provided in Figure 1, determine the power generated or
dissipated by each element of the network. For the sources, you should clearly denote
when power is generated or dissipated.