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Wire Power Dissipation Calculator

Power Dissipation Formula:

\[ P = I² × R × L \]

A
Ω/m
m

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1. What is Wire Power Dissipation?

Wire power dissipation refers to the power lost as heat in an electrical conductor due to its resistance. This phenomenon occurs when current flows through a wire, converting electrical energy into thermal energy.

2. How Does the Calculator Work?

The calculator uses the power dissipation formula:

\[ P = I² × R × L \]

Where:

Explanation: The formula calculates the total power lost as heat along the entire length of the wire, proportional to the square of current and the wire's resistance.

3. Importance of Power Dissipation Calculation

Details: Calculating power dissipation is crucial for electrical system design, wire sizing, thermal management, and ensuring system efficiency and safety.

4. Using the Calculator

Tips: Enter current in amperes, resistance per unit length in ohms per meter, and wire length in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why does power dissipation increase with current squared?
A: Because both voltage drop across the resistance (V = I×R) and power (P = V×I) are proportional to current, resulting in P ∝ I².

Q2: How does wire gauge affect power dissipation?
A: Thicker wires (lower gauge numbers) have lower resistance per unit length, resulting in less power dissipation for the same current.

Q3: What are typical resistance values for common wires?
A: Copper wire resistance ranges from approximately 0.0005 Ω/m for 10 AWG to 0.0033 Ω/m for 20 AWG.

Q4: When is power dissipation problematic?
A: High power dissipation can cause overheating, insulation damage, voltage drops, and reduced system efficiency.

Q5: How can power dissipation be reduced?
A: Use thicker wires, shorter lengths, higher conductivity materials, or reduce current flow through the wire.

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