Question

Problem #4 - Consider the circuit shown below. A. How many trivial nodes are there? B. How many non-trivial nodes are there? C. How many trivial meshes are there?_ D. l'low inany non-trivial meshes are there? E. Find the complete system of first-order differential cquations (include Kirchhoff's laws for trivial nodes and meshes). Clearly indicate the KCL equations, KVL equations, and terminal relationships used in the process. Let vi be the voltage that is paired with inclc. iz 22 4sin(t) A fi- vat ist is ja i cos(t) V {3H 5F7613 7

Answer 1

Solution is 2524.sinta 0 MM A) There are 4 trivial rodes (0,0,0,0) By There are 1, non-trivial nodus (0,0,0,0) c) There are 3 trivial meshes (A-B, B-e, A-B-C) There are 3 non-trinal meshes (A,B, EY KVL equatione : cost - Qiz -:- 3 disco - fisat +zdt + 3 disco - -616+ 5 fischt eo — J du KCL equations : iz = 4 sint tiz CS Scanned sink = istil - - CamScanner