The document contains 15 questions related to circuit analysis including calculating number of nodes, branches and loops in network graphs, determining currents and voltages using Kirchhoff's laws, calculating equivalent resistances in series, parallel and star-delta configurations, and performing conversions between star and delta circuits. The questions cover a range of core circuit analysis concepts and calculations.

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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