Linear Circuits 1 - 07 - Multiple Sources

Explore circuits with multiple sources, restitching Ohm's Law, analyze Delta V equals IR, distinguish power absorbed from generated, and apply Kirchhoff's laws to ensure consistent voltage and current.

Combine voltage sources in series to produce a single voltage source, since the same current flows through them; voltages oriented the same add, while opposite orientation subtract.

Solve a circuit with four voltage sources and two resistors by applying Ohm's law and Kirchhoff's voltage law. Combine series sources, determine node voltages, compute clockwise current, and verify results.

Learn how series voltage sources yield a single equivalent voltage by adding or subtracting voltages by direction, then solve the circuit using Ohm's law to find the current.

Combine three current sources in parallel to form a single equivalent source, with value i1 minus i2 plus i3, by applying Kirchhoff's current law at the top and bottom nodes.

Replace parallel current sources with an equivalent source, then use Ohm's law and Kirchhoff's current law to find V = -7.5 V across the left 5 ohm resistor.

Combine series voltage sources into an equivalent voltage source, and parallel current sources into an equivalent current source, after confirming the sources are in series or parallel.