Question

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Question 1 (25 points) Determine V in the circuit in Fig. Pl using nodal analysis. { im Zim Figure P1 ( 2 m Question 2 (25 points): Use mesh analysis to find I in the circuit in Fig. P2 1k 1 0 0 + ax in Figure P2 Question 3 (25 points): Use superposition to find it in the circuit in Fig. P3 *** 23 Fique P3 Question 4 (25 points): Apply Thevenin's theorem to find Join the circuit of Fig. 3

Answer 1

--Kirchhoff's voltage law i.e. the sum of voltages in the loop/mesh is always '0'

--The superposition theorem states that for any linear bilateral circuit with more than 1 independent source the voltage or current of the element can find out with the sum of current or voltage due to individual element

--Thevenin's Theorem states that “Any linear circuit containing several voltages and resistances can be replaced by just one single voltage in series with a single resistance connected across the load“

I for the given circuit using nodal analysis Luhmo Š olmu 0 The for given node circuit voltage is contain we tuo nodes. can corite KCL as. ule hu = 14 + 34 -0, for node voltage no. we can write kol as a M: +22+6) + y-v-4 = 0 . 1 substituting in (1. we get 4N = 14ts 14 3 2 + 1 Sy = 151. [~= 6v). Scanned with CamScanner

1,- ( 2 mA 12 ) 1-2 no 4+2 MO 4 . ALMA (h omma I-2 mesh considering Mi we can have Kve equation as. & Hifat I 12- Pixs - (11-29x1 + (1^2 - 10*1 = 12 - 31, I O !1 1, = 12 + I 3. considewing mesh Ma we can have kul equation as. + 2x1 + I 2 = (1 -2 -110*1 0 ( -2) X1 + ! Le AI - Il = 2 - substituting from (1) we get Haf - 12+2 = 2,! .31=6 ! 1. = 2mA Scanned with CamScanner

& 4kr considering be Inaesne the . 12 v the supply to be active and other sources current could be conside as open circuit. considering Loop L. 1 तसं 12 + 4 to, t 2 10,=0, (70,-4 mA), source to be active and other sowees to be Considering ama in acine. Lis t using current division rell. weget. 902 = 2X alta - 28% PO2 = 4 mA and otuus to be inachine active Considering A Sowee to be resistan here the 2kR & 4ku parallel with or desistance herce а саме – ишћа fteno Вот очало - Yetike - hence logo or Pos Doi +102 + Deoz - 2 tý +0, 2A. os opposite direction of cs Scanned withegative direction shows opport! CamScanner Assum prion

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