1. What Is Parallel Resistor Power Calculation?

Parallel resistor power calculation determines the power dissipated by each resistor and the total power in a parallel circuit using the formula P = V²/R, where P is power in watts, V is voltage in volts, and R is resistance in ohms.

2. How Does The Calculator Work?

The calculator uses the power formula:

For parallel resistors:

• Calculate equivalent parallel resistance: \( \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + ... + \frac{1}{R_n} \)
• Calculate total power: \( P_{total} = \frac{V^2}{R_{eq}} \)
• Calculate individual powers: \( P_n = \frac{V^2}{R_n} \)

Explanation: In a parallel circuit, each resistor experiences the same voltage, but current divides among them. Power dissipation is calculated individually for each resistor.

3. Importance Of Power Calculation

Details: Accurate power calculation is essential for circuit design, component selection, thermal management, and ensuring resistors operate within their power ratings to prevent overheating and failure.

4. Using The Calculator

Tips: Enter the circuit voltage and resistor values separated by commas. All values must be positive numbers. The calculator will compute total power and individual power dissipation for each resistor.

5. Frequently Asked Questions (FAQ)

Q1: Why calculate power in parallel resistors?
A: To ensure each resistor operates within its power rating and to understand total power consumption and heat generation in the circuit.

Q2: Do parallel resistors share the same power?
A: No, each resistor dissipates power independently based on its resistance value. Lower resistance resistors dissipate more power.

Q3: What happens if a resistor exceeds its power rating?
A: The resistor may overheat, change value, or fail completely, potentially damaging the circuit.

Q4: How does voltage affect power dissipation?
A: Power dissipation increases with the square of the voltage (P ∝ V²), making voltage the most significant factor in power calculation.

Q5: Can this calculator handle mixed units?
A: No, all resistance values must be in ohms (Ω) and voltage in volts (V) for accurate calculations.