Find Current Through Voltage Source Using Kirchoff's Law

AI Thread Summary
To find the current through the 3V voltage source using Kirchhoff's Law, the user has derived three equations but faces five unknowns in their circuit analysis. The discussion emphasizes the need to clarify the existing equations and identify any missing relationships. It is noted that the circuit contains four loops, with two having known currents, leaving two loops and a controlled voltage source to analyze. Participants encourage sharing the current equations to pinpoint any gaps in the analysis. The conversation highlights the importance of systematically applying Kirchhoff's principles to resolve the unknowns effectively.
mikehsiao789
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Homework Statement



I need to find the current through the 3V voltage source:
picture of the circuit and the equations there:
vantraveller.blogspot.ca


The Attempt at a Solution


I was about to get 3 equations, however, I find myself having 5 unknowns, what other equations can I write? Thank you!
 
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mikehsiao789 said:

Homework Statement



I need to find the current through the 3V voltage source:
picture of the circuit and the equations there:
vantraveller.blogspot.ca


The Attempt at a Solution


I was about to get 3 equations, however, I find myself having 5 unknowns, what other equations can I write? Thank you!

You'll have to show us what you've found before we can tell what you're missing :smile:

I see that your circuit has four loops as drawn, but I can also see that two of those loops have currents that are trivially known. That leaves two loops to deal with, plus the controlled voltage source. So, what equations have you written so far?
 
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