AP® Physics C: Electricity and Magnetism · Unit 11 · Topic 11.6

Solving a Two-Loop Circuit

Watch it explained

  1. How it worksHow do you pick independent loops so you never write the same equation twice?
  2. Worked exampleFind all three currents in a two-loop circuit with 10 V and 4 V sources and 2, 3, and 6 ohms.
  3. Going furtherWhat does a negative answer for one of the currents actually tell you about its direction?
  4. Ties togetherHow do the loop and junction rules together hand you exactly as many equations as unknowns?

Check yourself

Your turn1 of 2
Two branches, one with a 15 V source in series with 9 ohms and the other with a 10 V source in series with 4 ohms, both connect the same two nodes as a third resistor of 3 ohms. Using Millman's theorem, find the current through the 3 ohm resistor.

End of topic.