Calculate voltage, current, resistance, and electrical power with comprehensive circuit analysis, step-by-step solutions, and interactive circuit diagrams. Perfect for students, engineers, and electronics enthusiasts.
Ohm's Law: V = I × R • Power Formula: P = V × I
            These fundamental relationships govern all DC circuit analysis and design.
Circuit Analysis:
            V = I × R • P = V × I • P = I² × R • P = V² ÷ R
            All calculations assume ideal DC circuit conditions.
Circuit analysis details will appear here...
Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the constant of proportionality being the resistance (R).
Ohm's Law: V = I × R
          Power Formulas: P = V × I = I² × R = V² ÷ R
          These relationships form the foundation of electrical circuit analysis.
Ohm's Law is used in:
          • Circuit design and analysis
          • Component selection and sizing
          • Electrical safety calculations
          • Power supply design
          • Troubleshooting electrical systems
• Applies to resistive DC circuits
          • Assumes constant temperature
          • For AC circuits, consider impedance
          • Real components may have non-linear behavior
          • Always observe electrical safety protocols
This calculator provides theoretical electrical calculations based on ideal Ohm's Law principles. Real-world circuits may be affected by factors like temperature, component tolerances, AC effects, and non-linear behavior. Always verify critical calculations with appropriate measurement tools and follow electrical safety standards. Consult qualified professionals for high-voltage or complex circuit designs.
This advanced Ohm's Law calculator implements comprehensive electrical circuit analysis using precise mathematical relationships from fundamental physics. Each calculation follows established electrical engineering principles that remain consistent across all DC circuit applications.
Formula: V = I × R
Voltage represents electrical potential difference, measured in Volts (V). It's the driving force that pushes current through resistance.
Formula: I = V ÷ R
Current represents electron flow rate, measured in Amperes (A). It's directly proportional to voltage and inversely proportional to resistance.
Formula: R = V ÷ I
Resistance opposes current flow, measured in Ohms (Ω). It's a fundamental property of conductors and components.
Formulas: P = V × I = I² × R = V² ÷ R
Power represents energy conversion rate, measured in Watts (W). It indicates how much work electricity can perform.
Ohm's Law states that voltage (V) equals current (I) multiplied by resistance (R): V = I × R. This fundamental relationship describes how electrical circuits behave. For example, with 2A current through 100Ω resistance, voltage is 2 × 100 = 200V. Our calculator demonstrates this with step-by-step solutions and circuit diagrams.
Electrical power (P) can be calculated three ways using Ohm's Law: P = V × I, P = I² × R, or P = V² ÷ R. For example, with 200V and 2A, power is 200 × 2 = 400W. With 2A and 100Ω, power is 2² × 100 = 400W. All methods yield identical results when proper values are used.
Standard SI units are Volts (V) for voltage, Amperes (A) for current, Ohms (Ω) for resistance, and Watts (W) for power. Our calculator maintains proper unit consistency and provides results in these standard units. For very large or small values, appropriate metric prefixes may be used (mA, kΩ, MW, etc.).
Ohm's Law applies directly to resistive AC circuits using RMS values. However, for circuits with capacitors or inductors, impedance (Z) replaces resistance, and phase angles must be considered. Our calculator focuses on DC circuit fundamentals, which provide the essential understanding needed for more complex AC analysis.
Calculations use precise mathematical algorithms with results accurate to 6 decimal places, suitable for academic and professional electrical engineering applications. However, real-world components have tolerances (typically 1-10%), temperature effects, and other factors that may cause deviations from theoretical values.
Ohm's Law has countless practical applications including circuit design, component selection, electrical troubleshooting, power supply design, safety calculations, energy efficiency analysis, and educational demonstrations. It's fundamental to all electrical engineering and electronics work, from simple LED circuits to complex power systems.