Question

Help me solve these questions, please show work.
Search 4:52 PM Wed Feb 12 78% A few sample problems from previous midterm 1 tests.pdf 1 of 4 Problem 1: (50 Points) In the following circuit, find V, by either Nodal Analysis Method or Loop Analysis Method. Clearly mark and/or identify, as needed, the nodes, the loops, the variables you assign, the constraint equations (if any), the super nodes and/or super meshes (if any), and the nodes for the KCL and the loops for the KVL equations you write (if any). 1020 Vrms 71 Problem 2: (50 Points) For the following circuit: a. Find the Thevenin's equivalent looking from A-B. b. Find the impedance Z, that would absorb maximum power when connected between A and B and the power it will absorb. 5020 Arms 1

Answer 1

a lolo Voms Alor erheesh - node 3 JA KV 1 + V - w in / + IX (1) Volts D IN FIG! : KvL in Mesh 3 : -Velo lė +21x co V = 212-10 0 KVL across the boundary of the Circuit (green colour dotted path): - Va -10 Lo +Ix= V = Ix-10 x + x + Va we get KCL at super node (see Fial): en = Vzx + Ix+va - putting ② in ① , we get . vx (5-1) = 5x +j [ Ix-10) Vox ( -1-j) = Ix (1+i) –jo putting Ix = x to from egin 6 in above egin, Vic (-1-j) = P(Vx +10 )(H+) –j10 -VA (It)) = V (1 tj) +5 (145) –jio = (1+j) (-vx*- ) = 5+5j j10 > (1+i) (-3\x) = s-js = 1x = (5-45) ( -5) = je 1,498 ving Vx = 3.33 3 498 Voms ti no