Electronic – How to solve a circuit of resistances with both a voltage and a current-source in between them

circuit analysis

If I have a circuit that consists out of multiple non-parallel/serial resistances with current/voltage sources in between them like the one below

How can I solve a system like that (in this case for \$I_{10V}\$ and \$V_0\$)?. Would I have to do on a Thévenin equivalent or is there a simpler way?

Best Answer

  1. Treat the current source as an open circut and solve for Vo.
  2. Treat the voltage source as a short circuit and solve for Vo.
  3. Add the Vo from 1 and 2. This is summing the contribution from the current source and the voltage source and is the output voltage of the circuit.