Power Dissipation Formula:
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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.
The calculator uses the power dissipation formula:
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.
Details: Calculating power dissipation is crucial for electrical system design, wire sizing, thermal management, and ensuring system efficiency and safety.
Tips: Enter current in amperes, resistance per unit length in ohms per meter, and wire length in meters. All values must be positive numbers.
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.