MHB Solving Resistors in a Circuit: Working Backwards

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The discussion revolves around calculating currents and voltages in a resistor circuit after determining the total current. The user initially struggles with working backwards to find the current through a specific resistor and seeks clarification on whether principles from capacitor circuits apply to resistors. They mention using a calculator's rref feature to solve systems of equations for voltage but express uncertainty about their approach. A request for a clearer problem statement or visual representation of the circuit is made to facilitate better assistance. Ultimately, the user aims to compute the ideal voltage of the battery based on the given resistances and current values.
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Problem: I have found the total current running through the entire circuit. My problem is now I am trying to work backwards to determine the current through a certain resistor. I know when dealing with basic capacitors, voltage in parallel is the same, and charge in series is the same. Does the same apply to working with a circuit that only involves resistors?

Thanks.
 
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I believe I found the correct way to do this. It would have helped if I was approaching the problem a different way.
 
Welcome to MHB, csmith23! Could you please post a picture of the problem that's not hidden behind a password? Or type up the problem statement?

Thanks!
 
I think this is the same as http://mathhelpboards.com/other-advanced-topics-20/mesh-currents-emfs-resistances-10968.html.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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