All Unit Conversions

Electrical reference

Circuit analysis workspace

Methods
3
Core law
V = IR
Circuit Analysis Info

Circuit analysis basics:

  • Method for determining voltage, current, and power
  • Based on fundamental electrical laws
  • Essential for designing and troubleshooting circuits
  • Applies to both DC and AC circuits
  • Used by electrical engineers and technicians

Key parameters:

  • Voltage (V): Electrical potential difference
  • Current (I): Flow of electric charge
  • Resistance (R): Opposition to current flow
  • Power (P): Rate of energy conversion

Ohm's Law:

Voltage: V = I × R

Current: I = V / R

Resistance: R = V / I

Power Formulas:

Power (using V and I): P = V × I

Power (using I and R): P = I² × R

Power (using V and R): P = V² / R

Circuit Combinations:

Series Resistance: R_total = R₁ + R₂ + ... + Rₙ

Parallel Resistance: 1/R_total = 1/R₁ + 1/R₂ + ... + 1/Rₙ

Electrical Engineering:

  • Circuit design and analysis
  • Power system planning
  • Component selection
  • Fault analysis

Electronics:

  • PCB design
  • Power supply design
  • Battery system calculation
  • LED circuit design

Other Applications:

  • Home wiring calculations
  • Solar panel system design
  • Educational demonstrations
  • Troubleshooting electrical systems

Circuit Analysis Calculator

Interactive electrical calculations for Ohm's law, power, and series or parallel networks.

Formula verifiedLive calculation

Analyze Electrical Circuits

Ohm's Law Calculator

Enter any two values to calculate the third

Ohm's Law Triangle

V
I
R

V = I × R

What is Circuit Analysis?

Circuit analysis is the process of studying electrical circuits to determine the electrical quantities like voltage, current, resistance, and power. It's a fundamental skill in electrical engineering that relies on principles like Ohm's Law and Kirchhoff's Laws.

Understanding circuit analysis allows engineers and technicians to design, troubleshoot, and optimize electrical systems. From simple DC circuits to complex AC networks, the same basic principles apply, though the mathematical methods may become more sophisticated.

The tools provided in this calculator cover the most common circuit analysis needs: Ohm's Law calculations for basic voltage-current-resistance relationships, power calculations, and series/parallel circuit analysis for determining equivalent resistance and current distribution.

Educational Resource

This educational video explains the fundamentals of circuit analysis, covering Ohm's Law, power calculations, and series/parallel circuits. It provides clear examples that demonstrate how these principles are applied in real electrical systems.

Frequently Asked Questions about Circuit Analysis

What is Ohm's Law and how is it used in circuit analysis?

Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage and inversely proportional to the resistance. The formula is V = I × R, where V is voltage (volts), I is current (amperes), and R is resistance (ohms). Ohm's Law is a fundamental principle in electrical engineering used to analyze circuits, troubleshoot problems, and design new electrical systems.

What are series and parallel circuits?

Series circuits have components connected end-to-end in a single path, where the same current flows through all components. In parallel circuits, components are connected across the same two points, creating multiple paths for current flow. In series circuits, total resistance increases as you add components (R_total = R₁ + R₂ + ...), while in parallel circuits, total resistance decreases (1/R_total = 1/R₁ + 1/R₂ + ...).

How is electrical power calculated?

Electrical power (P) measured in watts (W) can be calculated using several formulas depending on the known values: P = V × I (voltage × current), P = I² × R (current squared × resistance), or P = V²/R (voltage squared ÷ resistance). These formulas are derived from Ohm's Law and are essential for determining energy consumption, heat generation, and component selection in electrical systems.

What is Kirchhoff's Current Law (KCL)?

Kirchhoff's Current Law (KCL) states that the algebraic sum of all currents entering and leaving a node in an electrical circuit must equal zero. In other words, the sum of currents flowing into a junction equals the sum of currents flowing out of that junction. This law is based on the conservation of electric charge and is fundamental for analyzing complex circuits with multiple branches.

What is Kirchhoff's Voltage Law (KVL)?

Kirchhoff's Voltage Law (KVL) states that the algebraic sum of all voltage drops around any closed loop in a circuit must equal zero. This law is based on the conservation of energy principle. KVL is particularly useful when analyzing circuits with multiple voltage sources and components, as it allows you to write equations for each loop in the circuit to solve for unknown voltages and currents.

Related Resources