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Power Dissipated In Circuit Calculator

Joule's Law Formula:

\[ P = I² \times R \]

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Ohms

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1. What is Power Dissipation?

Power dissipation refers to the process where electrical energy is converted to heat energy in a resistor or circuit component. This phenomenon is described by Joule's Law, which states that the power dissipated in a resistor is proportional to the square of the current flowing through it and its resistance.

2. How Does the Calculator Work?

The calculator uses Joule's Law formula:

\[ P = I² \times R \]

Where:

Explanation: The formula shows that power dissipation increases with the square of current, meaning small increases in current can lead to significant increases in heat generation.

3. Importance of Power Calculation

Details: Calculating power dissipation is crucial for circuit design to prevent component overheating, ensure proper heat sinking, select appropriate resistor wattage ratings, and maintain circuit reliability and safety.

4. Using the Calculator

Tips: Enter current in amperes and resistance in ohms. Both values must be positive numbers. The calculator will compute the power dissipation in watts.

5. Frequently Asked Questions (FAQ)

Q1: Why does power increase with the square of current?
A: Because both voltage drop across the resistor (V = I × R) and current contribute to power (P = V × I), resulting in P = I² × R.

Q2: What happens if power dissipation exceeds rating?
A: Components may overheat, leading to failure, reduced lifespan, or in extreme cases, fire hazard. Always use components rated for expected power dissipation.

Q3: Can this formula be used for AC circuits?
A: Yes, for resistive loads in AC circuits, use RMS values for current to calculate average power dissipation.

Q4: How does temperature affect resistance?
A: For most resistors, resistance increases with temperature, which can affect power calculations in real-world applications.

Q5: What are typical power ratings for resistors?
A: Common ratings include 1/8W, 1/4W, 1/2W, 1W, 2W, 5W, and higher for power applications.

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