Linear Circuits 1 - 05 - KCL and KVL

Review Kirkos Current Law and Kirkos Voltage Law alongside Ohm's Law, power definitions, and the behavior of voltage and current sources in circuits.

Define Kirchhoff's current law and Kirchhoff's voltage law, explaining that what goes in must come out and what goes up must come down, plus a new vocabulary word.

Identify all circuit nodes with a simple three-step method: dot unmarked wires, remove duplicate connections, then repeat for remaining wires. Each node maintains the same voltage potential across its region.

Explore how to count nodes in circuits through guided examples, counting two or four nodes, and verify that at least one component separates nodes, regardless of wire orientation.

Explore Kirchhoff's current law through a water analogy, showing that the current entering a node equals the current leaving it, and apply this balance to simple circuit examples.

Apply Kirchhoff's current law to a node with nine amps in and three amps out, solving for the unknown current I as six amps.

Apply Kirchhoff's current law to a node, equating inflows and outflows to solve for the unknown current I. Find that I equals 2 A.

Apply Kirchhoff's current law to node analyses, solving step by step to show the middle resistor carries five amps and the rightmost branch has zero amps, teaching patient problem solving.

Apply KCL to a node by equating currents in and out, solve for the unknown current I, which may be negative, and verify with another KCL check.

Apply Kirchhoff's current law at the top node to balance currents in and out. The currents in are -5 amps, i, and 12 amps, leading to i = -5 amps.

We apply Kirchhoff's current law to a node, balancing in and out currents. We solve for the unknown current, interpret negative amps, and note zero amps mean no flow.

Explore Kirchhoff's voltage law through a water analogy, showing how voltage rises from ground to supply and returns to zero as current flows through resistors.

An example applies Kirchhoff's voltage law to a circuit, identifying node voltages from sources, computing delta V across a resistor, and showing how total rises equal total drops.

Kirchhoff's voltage law works regardless of ground location, as the loop analysis shows a nine-volt drop across the resistor and that what goes up must come down.

Explore Kirchhoff's voltage law (KVL) by tracing voltages across a circuit, from ground through multiple sources to twelve volts, using both partial and outer-loop perspectives.

Identify all circuit nodes with a simple three-step process, then apply current law and voltage law to ensure currents flow into and out of nodes and voltages return to baseline.