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Advanced Ohm's Law Calculator

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.

Find Voltage (V)
Find Current (I)
Find Resistance (R)
Find Power (P)
💡 LED Circuit (20mA, 220Ω)
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🔧 Custom Circuit

Electrical Principles

Ohm's Law: V = I × R • Power Formula: P = V × I
These fundamental relationships govern all DC circuit analysis and design.

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Circuit Diagram

Circuit Analysis:
V = I × R • P = V × I • P = I² × R • P = V² ÷ R
All calculations assume ideal DC circuit conditions.

Ohm's Law Calculation Results

Step-by-Step Calculations:

Electrical Interpretation

Circuit analysis details will appear here...

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Understanding Ohm's Law

⚡ What is Ohm's Law?

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).

🔌 Fundamental Formulas

Ohm's Law: V = I × R
Power Formulas: P = V × I = I² × R = V² ÷ R
These relationships form the foundation of electrical circuit analysis.

💡 Practical Applications

Ohm's Law is used in:
• Circuit design and analysis
• Component selection and sizing
• Electrical safety calculations
• Power supply design
• Troubleshooting electrical systems

⚠️ Important Considerations

• 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

Electrical Calculation Disclaimer

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.

Ohm's Law Principles & Formulas

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.

⚡ Voltage Calculation

Formula: V = I × R

Voltage represents electrical potential difference, measured in Volts (V). It's the driving force that pushes current through resistance.

🔌 Current Calculation

Formula: I = V ÷ R

Current represents electron flow rate, measured in Amperes (A). It's directly proportional to voltage and inversely proportional to resistance.

💡 Resistance Calculation

Formula: R = V ÷ I

Resistance opposes current flow, measured in Ohms (Ω). It's a fundamental property of conductors and components.

🔋 Power Calculation

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 Calculator FAQ

What is Ohm's Law and how does it work?

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.

How do you calculate electrical power using Ohm's Law?

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.

What units are used in Ohm's Law calculations?

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.).

Can Ohm's Law be used for AC circuits?

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.

How accurate are Ohm's Law calculations?

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.

What are the practical applications of Ohm's Law?

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.

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