This is similar to problem 3.27 in "Circuit Analysis and Design" by Ulaby, Maharbiz, and Furse. This is a free/open educational textbook on basic circuit design found here: https://cad.eecs.umich.edu/
We will use mesh current method to solve for currents in a simple circuit. Then we will find the power supplied by a voltage source in the circuit. We also verify that power is supplied, rather than consumed by the voltage source.
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Mesh Current Circuit Solution Example Problem | NatokHD