Question

Write the impedance matrix of the network shown in Fig.and find the value of current I₃.

Answer 1

Different items of the mesh-resistance matrix [R_m] are as under : 

R₁₁ = 1 + 3 + 2 = 6Ω ; R₂₂ = 2 + 1 + 4 = 7 Ω ; R₃₃ = 3 + 2 + 1 = 6 Ω ; 

R₁₂ = R₂₁ = − 2 Ω ; R₂₃ = R₃₂ = − 1 Ω ; R₁₃ = R₃₁ = − 3Ω ; E₁ = + 5V ; E₂ = 0 ; E₃ = 0. 

The mesh equations in the matrix form are