EMJ12103 – Electric Circuit I
TUTORIAL
NODAL ANALYSIS
Question 1
a) Write the nodal equations for the networks of Figure 1.
b) Using determinants, solve for the nodal voltages.
c) Determine the magnitude and polarity of the voltage across each resistor.
Figure 1
(ANS: b) V1 = -14.86V, V2 = -12.57V c) VR1 = VR4 = V1 = -14.86V , VR2 = V2 = 12.57V, VR3 = 9.71V)
Question 2
d) Write the nodal equations for the networks of Figure 2.
e) Using determinants, solve for the nodal voltages.
f) Determine the magnitude and polarity of the voltage across each resistor.
Figure 2
(ANS: V1 = -2.556V, V2 = 4.03V c) VR1 = V1 = -2.556V, VR2 = VR5 = V2 = 4.03V, VR4 =
VR3 = V2 – V1 = 6.586V)
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EMJ12103 – Electric Circuit I
Question 3
For the networks of Figure 3, write the nodal equations and solve for the nodal voltages.
Figure 3
(ANS: V1 = 7.238V, V2 = -2.453V, V3 = 1.405V)
Question 4
For the networks of Figure 4, write the nodal equations and solve for the nodal voltages.
Figure 4
(ANS: V1 = -6.64V, V2 = 1.288V, V3 = 10.676V)
Question 5
Evaluate I of Figure 5 by nodal analysis.
Figure 5
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EMJ12103 – Electric Circuit I
(ANS:-1.68A)
Question 6
Solve for I1 and I2 of the network of Figure 6 by nodal analysis.
Figure 6
(ANS:0.37A, -1.85A)
Question 7
By nodal analysis, obtain the current in the 2Ω resistor of the network of Figure 7.
Figure 7
(ANS: 2.98A)
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EMJ12103 – Electric Circuit I
Question 8
Apply nodal analysis to the network of Figure 8 and solve for the currents I1 and I2.
Figure 8
(ANS: 5A, 10A)
Question 9
Find the value R of Figure 9 such that the power supplied by 100V source to the network
is the same as the power supplied by the 5A source.
Figure 9
(ANS: 20Ω)
Question 10
Find the current in the 10Ω resistor of the circuit shown in Figure 10 using nodal
analysis.
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EMJ12103 – Electric Circuit I
Figure 10
(ANS: -1A)
Question 11
Find the power dissipated in 20Ω resistor of the circuit of Figure 11 by using nodal
analysis.
Figure 11
(ANS: 7.466W)
Question 12
A network excited only by current sources is shown in Figure 12. Determine the current
through the 2Ω resistor using nodal analysis.
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EMJ12103 – Electric Circuit I
Figure 12
(ANS: -0.588A)
Question 13
Determine the power supplied (or absorbed) by the controlled voltage source in the
network of Figure 13.
Figure 13
(ANS: 1008W)
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EMJ12103 – Electric Circuit I
Question 14
Find the current I2 of the circuit shown in Figure 14 using nodal analysis.
Figure 14
(ANS: 6/7A)
Question 15
Using nodal analysis, find the voltage across the 10A current source in the circuit of
Figure 15
Figure 15
(ANS: -204/7V)
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EMJ12103 – Electric Circuit I
Question 16
Find the current in each resistors of the circuit shown in Figure 16.
Figure 16
(ANS: 10A, -6A, 5A, 3A)
Question 17
In the circuit of Figure 17, transform the 10V source to a current source and the wye
connected 10Ω resistors to an equivalent delta. Thus calculate the voltage across the 10A
source.
Figure 17
(ANS: -200/7V)
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EMJ12103 – Electric Circuit I
Question 18
In the circuit of Figure 18, determine the node V1, V2 and V3.
Figure 18
(ANS: 50V, 60V, 94V)
Question 19
Calculate the current in each resistor of the network of Figure 19.
Figure 19
(ANS: I10Ω = 2A, I1Ω = 1A, I20Ω = -2A, I5Ω = 2A, I2Ω = 5A)
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EMJ12103 – Electric Circuit I
Question 20
Evaluate the currents through the resistors of the circuit shown in Figure 20.
Figure 20
(ANS: 1.06A, 3.94A, -1.364A)
Question 21
Determine the node voltages V1, V2, V3 and V4 shown in the circuit of Figure 21.
Figure 21
(ANS: 10V, -20V, 20V, 15V)
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EMJ12103 – Electric Circuit I
Question 22
Solve for I n the circuit of Figure 22. Also determine the current in 3Ω resistor.
Figure 22
(ANS: 0.6A, 3.2A)
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