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1. TUTORIAL 2
1. For the network graph shown in the diagram, find the number of nodes, branches, and
independent loops.
(a) (b)
2. Find i1 , i 2 , and i3 in the diagram.
(a) (b)
3. Using KVL, determine v1, v2 and v3.
(a) (b)
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2. 4. Using KVL, determine V1, V2, V3 and V4.
5. Calculate vx
6. Calculate the voltage across 20 k resistor.
7. Calculate all the missing currents.
(a) (b)
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3. 8. Calculate i and Vo.
9. Calculate Req and I.
(a)
(b)
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4. 10. Calculate Req between a-b.
(a)
(b)
(c)
(d)
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5. 11. Convert from star to delta
12. Convert from delta to star
13. Calculate Req between a-b.
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6. 14. Calculate Io
15. Calculate V
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7. Answer
Q1 (a) n = 9 ; l = 7; b = n + l – 1 = 9 + 7 – 1 = 15
(b) n = 12; l = 8; b = n + l –1 = 12 + 8 – 1 = 19
Q2 (a) i1 = 14 A ; i2 = -2 A ; i 3 = 10 A
(b) i1 = 7 A ; i 2 = -5 A
Q3 (a) v1 = 35 V ; v2 = 5 V ; v3 = 30 V
Q4 V1 = -8 V ; V2 = 6 V ; V3 = -11V ; V4 = 7 V
Q5 vx = 2 V
Q6 V20 = 2 kV
Q7 (a) i1 = 11.2 A ; i2 = 1.6 A ; i3 = 9.6 A; i4 = 6.4 A ; i 5 = 3.2 A
(b) i1 = 3.2 A ; i2 = 4.8 A ; i 3 = 2.4 A; i4 = 9.6 A
Q8 vo = 1.5 V
Q9 (a) Req = 12.5 ; io = 3.2 A
(b) Req = 5 ; io = 2 A
Q10 (a) Rab = 5.818
(b) Rab = 4
(c) Rab = 32.5
(d) Rab = 24
Q11 (a) Ra = Rb = Rc = 30 Ω
(b) Ra = 103.3 Ω, Rb = 155 Ω, Rc = 62 Ω
Q12 (a) R1 = R 2 = R3 = 4 Ω
(b) R1 = 18Ω, R2 = 6Ω, R3 = 3Ω
Q13 (a) Rab = 9.231
(b) Rab = 36.25
(c) Rab = 142.32
(d) Rab = 130
Q14 Io = 997.4 mA
Q15 V = 42.18 V
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