MHB How to find currents and voltages with 2 batteries connected?

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To analyze a circuit with two connected batteries, it's essential to redraw the schematic and label all currents and voltages across components. The current flows from the negative terminal to the positive terminal of the batteries. Participants suggest using mesh analysis for a systematic approach to determine the values. Alternatively, simplifying the circuit with equivalent components can help clarify the analysis. Ultimately, both methods can be effective depending on the complexity of the circuit.
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Assume that this circuit has been connected as shown for a very long time. Re-draw the schematic and label the currents and voltages in and across all components including the View attachment 4024batteries. All components are “ideal.”
 

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The current runs from the negative side of the battery to the postive correct? So first should I try and replace what I can with equivalent components to clean up the circuit?
or should try try and go ahead and use mesh analysis
 

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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