I am working on this sample circuit problem, which knowledge of KCL, KVL, and how resistors in series or parallel add up in terms of resistance. However, in this circuit there is a voltage controlled current source that supplies 29 times greater current than the current I somewhere else in the circuit. I am supposed to find the voltage drop across this VCCS, labeled Vy. I think it's this element that is throwing me off. I am not sure how to go about analyzing this. Here is my work so far, hopefully the picture is clear enough.
I have these equations written down from KVL. I know that there should only be two loops, I am just not sure whether which loop to analyze would be better. Although either one should give me the same result, I believe, if I do it right. But I am stuck on finding Vy, as well as the voltage drops across the other resistors, because of that VCCS in the circuit.
How should I go about analyzing this circuit?
Best Answer
It's a CCCS, not a VCCS.
\$I_B\$ is not equal to \$V_T/R_T\$, since the current through \$R_2\$ is not \$I_B\$.
So what is the current through \$R_2\$? You can get this simply by inspection.
When you've got the expression for that current, do KVL on the left mesh and you have \$I_B\$ (1 mA). And the rest is plain sailing.