kWh Calculator by Power Integration

Energy Formula:

\[ kWh = \frac{\int P \, dt}{3600000} \]

Energy (kWh):

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1. What is a kWh Calculator by Power Integration?

Definition: This calculator estimates the energy consumption in kilowatt-hours (kWh) based on power in watts and time in seconds.

Purpose: It helps electrical engineers, energy auditors, and homeowners determine energy usage for devices or systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ kWh = \frac{P \times dt}{3600000} \]

Where:

\( kWh \) — Energy in kilowatt-hours
\( P \) — Power in watts
\( dt \) — Time duration in seconds

Explanation: The power multiplied by time gives energy in watt-seconds (joules), which is converted to kWh by dividing by 3,600,000 (1000 watts × 3600 seconds).

3. Importance of Energy Calculation

Details: Accurate kWh calculations help in energy monitoring, cost estimation, and electrical system design.

4. Using the Calculator

Tips: Enter the power in watts and time in seconds. For variable power, calculate for each constant-power segment and sum the results.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 3,600,000?
A: 1 kWh = 1000 watts × 3600 seconds = 3,600,000 joules. The division converts joules to kWh.

Q2: Can I use minutes or hours instead of seconds?
A: Yes, but you'll need different conversion factors (divide by 60,000 for minutes or 1000 for hours).

Q3: What if power varies over time?
A: For variable power, use the integral form (∫P dt) by breaking into constant-power intervals.

Q4: How accurate is this for real-world devices?
A: Perfect for constant-power devices. For variable devices, use energy meters for better accuracy.

Q5: What's a typical power value for household devices?
A: LED bulb: 10W, Laptop: 50W, Refrigerator: 150W, Microwave: 1000W.