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.
Logan Land
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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
 
I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...

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