Question

a) Find the voltage and current in each bipole and resistor shown in the circuit by using Maxwell's method.

b) Verify the results by applying Kirchhoff's Laws.

R₁ = R₃ = R₅ = R₇ = R₉ = 100 Ω

R₂ = R₄ = R₆ = R₈ = R₁₀ = 200  Ω

E₁ = E₃ = E₅ = 9 V

E₂ = E₄ = 6 V

Ri www R2 www www R9 R7 www R3 Es R: www Ει EA E2 E3 R6 Rio www RS R4

Answer 1

aj Ri R2 D Ra E5 R3 R8 Ey ay 1 2769 R6 ? Rio Maxwell's current analynis R5 Ry In men-1 Lets assume 3 cas clocy wese curements I, Iz II ₃ a cocy wise Est (R7+R1) It Rq (I 1-I2) tel + R8 (I 1 - I3) = 0 9 + 2001,+ 10041,-12) + 9 + 200(I) -Is) zo 7.4001, -10017 -2001g --18 In mes-2 -+ Rq CI? -I.) + Cat REDT z tez-ez + Rio (I2 I 3) = 0 -9 + 100 (Iz - II) + 500 Izt a -6 I 7200012-13) = 0 - поврзее1 - 100 I, tooI7-20013 = 6

In mess-3 - Es + R&L I3-II) + Ez + RIO CI3 - I 2) + (R5+R6) I, - Ey = 0 ) - 9+ 200(Is-1) + 6 + 200013-12) + 3001 - 6v=0 - - 2001, 8-200 I₂ + 700J3 = 9 - ③ from ea , & uh 1 19 - yoo - 100 - 200 -100 80 o -200 - 200 - 200 700 Iz q Iz Ig -0.043 0.002 000009 I. IR = I RT I, 0-043 A IR= [R3 = I Ry = Iz = 0.002A IRE=R6 = I3 = 0.00q A I 3 - I z = 0 0 0 439 A IR = I z-Ij = 0.045A TRIO IR - I3-000011 A Tee .