nodal exercise electrical technology, Exercises of Electrical Engineering

exercise of nodal circuit for electrical technology in chemical industry

Typology: Exercises

2020/2021

Uploaded on 01/21/2021

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1. Figure 1 shows a circuit network consists of three resistors and one current source.
Determine the voltage at each labelled node and the current through each resistor.
(Answer: V1=3.333 V, V2=2.333 V, I5ΩΩ=0.667 A, I7ΩΩ=0.333 A, I3ΩΩ=0.333 A)
3 Ω
5 Ω
V
2
V
1
1 A
pf3
pf4
pf5

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1. Figure 1 shows a circuit network consists of three resistors and one current source. Determine the voltage at each labelled node and the current through each resistor. (Answer: V 1 =3.333 V, V 2 =2.333 V, I5ΩΩ =0.667 A, I7ΩΩ =0.333 A, I3ΩΩ =0.333 A) 3 Ω 5 Ω 7 Ω

V 1 V 2

1 A

  1. Calculate the current ( I ) that flows through the 12 Ω resistor in the circuit as shown in the Figure 2 using nodal analysis (node voltage method). (Answer: V 1 =23.403 V, V 2 =3.940 V, V3Ω =-4.478 V, I12Ω =0.328 A). 6 Ω 5 Ω 8 Ω 12 Ω 4 Ω 8 V 10 V V 1 V (^2) V 3 I 5 A Figure 2
  1. Figure 4 shows a circuit consists of one current source, one voltage source and six resistors. Analyse the circuit in Figure 4 using nodal analysis (node voltage analysis) and determine the voltage of V 1 , V 2 , V 3 and the current of Io1 and Io2. (Answer: V 1 =11.36 V, V 2 =4.73 V, V3Ω =10.36 V, I o1 =0.5 A, I o2 =0.704 A). 12 V 4 Ω 8 Ω 2 Ω 8 Ω 2 Ω Io 5 A (^4) Ω V 1 V (^2) V 3 Figure 4 Io Io
  1. Using node analysis, obtain the voltages at nodes A, B and C for the circuit of Figure 5. (Answer: V 1 =32.212 V, V 2 =26.637 V, V3Ω =17.609 V) R 6  1  5 A 40 V R 4  8  R 1  1  R 3  4  R 2  2  R 5  5  20 V A B^ C Figure 5

7. Figure 7 shows a circuit consists of two voltage sources and six resistors. Calculate the amount of current flow through the 5Ω resistor using Nodal Analysis. (Answer: V 1 =2.834, V 2 =4.42, V 3 =0.204, I 5 =1.041 A) 8 Ω

10 V

5 V

Figure 7: Circuit network 1.