Question

Solve for vo(t) using the Laplace methods.

6. Solve for vo(t) using Laplace methods. 4e-fu(t) A 1F (1 610) A 122 1 H - 312 103 0.00 2u(1) A

Answer 1

mesh mesh Gueurs TIF & buch) In laplace IH domain volts de In auch i curs ents. consider four mesh Iz = super me we can apply There is a current source between the mesh ③ and mesh 4 so in apply super mesh analysis for mesh and mesh 4. So we consider mesh ® and mesh 4 combinedly as one mesh. []z + 14 = 38 to Apply kul to rupamesh - 13 (1) - Iz -2.)(1) + (9412)(s) + 14 = 0 - Iz - Iz + I + SI4 - SI₂ + I4 =0 -2 Iz + 4 + (5+1) I4 - 5 0 =0 flom o -2 ( '-14) + + (S#1) I4 - 650 Ig = 2/3 - In 12-2-

- S ) +224 + 4 + (5+1) -6=0 (5+3) I4 = 4 - 4 + 6 14 SC63 - SHC573) + 3 ] + sti 2 St3 74 = CBS 2-[5 Tu - 40 + 4674246 Iu = (4/3) + (20/37 - 23 st sti Vo(s) = -14 (1) S +3 sti sti Vo(9) - Fast Boatings V.CS -4/2) Copy By taking in verse laplace transfem Voct) = 2 étuce) -40CH) ze tuch) [ Vo(t) = [ 4 / 2 + 2 et 20 e 3t] ult)