Direct-Current Circuits

Kirchhoff's junction and loop rules for systematic direct-current network analysis.

General idea of the topic

This block organizes the systematic analysis of direct-current networks, from the reduction of series and parallel configurations to the general node and mesh equations derived from Kirchhoff's laws.

The objective is for the student to master a structured method for solving any DC network while verifying charge conservation at every node and energy conservation in every closed loop.

What you will truly understand

  • How to collapse series and parallel networks without losing physical interpretation.
  • How to apply KCL and KVL with a consistent sign convention.
  • How to distribute current, voltage and power by branch.

Recommended learning route

  1. Resistors in series.
  2. Resistors in parallel.
  3. Kirchhoff's laws.

Physical criterion you must acquire

Always verify that node and mesh balances close before accepting the numerical result.

Connection with real problems

Models everything from dividers and sensors to distribution panels and fault diagnosis.

Final goal of the topic

Solve direct-current networks systematically, verifying conservation of charge and energy.

Topics in this section

  • Resistors in Series

    Circuit analysis of series resistors, common current, potential division, and equivalent resistance.

  • Resistors in Parallel

    Studies current sharing and equivalent resistance in resistive parallel networks.

  • Kirchhoff's Laws

    Uses charge and energy conservation to solve nodes and meshes in direct-current circuits.