Question

1) (10 marks) In this question, you will calculate the voltages, currents and powers as follows for the dc circuit in Fig. 1. a) Using the bottom node as the reference, calculate using node analysis, the other two node voltages. Label these other two node voltages in order from the top va and Vp. b) Calculate the current in each resistor. Calculate the power that is absorbed or produced by the each of the circuit elements. For each circuit element state whether this power is supplied or absorbed? Explain your answer. 593 212 3 Ω 1A(1 Uy + Fig. 1 [END of QUESTION 1]

Answer 1

0) وند i, + V = Va-o 322 52 iz 32 AMM VH Vs- Va 1A 1 Vs Vc Ve=VG=OV (Due to Shost circuit) - VG=OV Reference Apply nodal analysis at node - a Va-V6 5 Va-Vc 2 -IA 2 va-2V + Sva-o=10 d's 7a - 24=10 Apply nodal at node - 6 And V - Va V-Vc + - Vy S 3 Vc-V6 = V₂ 0-V = Vx [x = -V

3 V-3a +5V-0 =15Vx 8 V-3a = -15 V6 23 V6-3 Va=0 Va= 23 3 Nь from (1) 7(23) Yo- 2 Vb = 10 161 - 6 V6-30 155 V6 = 30 No=0.1935 v Am And Va= 22 () Va = 1.4838 vt 67 ia (Current through 52) va - VOA ia 5 iz= 0.2581 A

is (Current through 2.2) - i = Va-o 2 = 0.7419/1 And her and iz (Current through 32) ► iz = Voro 3 iz= for Power sign 0.0646 ALA Beliveriny rower represented by 2 - vesign absorbing Power represented by in all Resistor always absorbed Power. iii) for a soura if current is leavers the the terminal of voltage then tower delivering other coise Power absorbing tve terminal of us lower delivered by IA Source. = Vs. I watt - 11A = -1,4838 Wall Asur as for IA Source Current leaving 80

Vx = Vc - V or = -0.1935V means for dependent Soura direction will be reversed and Х id Vx=- Vx = 0,1935V Vx V so 80 Current entering vo voltage Dependent Source is absorbing Tower - Vai Ve st (0.1935* 0.1935) wa H Puxa =+0.0374 watt Now Power absorbed by Resistors Ise= (Na-4). in (1.2903) (0.2581) watt 95se=+0.333 Tee - (V-Vc)* is > Pan= (0-1935 * 0-0646) wat 938-+0.0125 watt Watt b
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