Electrical Energy with E = P × t

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Solve energy use with E = P × t.

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Prince Jomari Torate Pangantihon

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Electrical Energy with E = P × tVersión en línea Solve energy use with E = P × t. por Prince Jomari Torate Pangantihon 1 Introduction to E = P × t The energy consumed by an electrical device is given by E = P × t, linking energy (kWh), power (kW), and time (h). 2 Power Power is the rate of energy use. Measured in kilowatts (kW); it shows how much energy the device uses per hour at full operation. 3 Time Time is how long the device runs. Measured in hours (h); longer use increases total energy proportionally. 4 Example Setup Example: A 2 kW heater runs for 3 hours. Calculate the energy consumed using E = P × t. 5 Example Calculation E = 2 kW × 3 h = 6 kWh. The heater uses 6 kilowatt-hours of energy. 6 Problem 1 Problem 1: A 0.75 kW lamp stays on for 5 hours. Find E in kWh. 7 Problem 2 Problem 2: A device draws 4.5 kW and runs for 2.5 hours. What is E? 8 Problem 3 Problem 3: If energy consumption is 9 kWh and time is 3 hours, what is the power in kW? 9 Unit Tips Tip: Always match units: E in kWh, P in kW, t in h. E = P × t, so convert minutes to hours if needed. 10 Key Takeaway Remember: Doubling time or doubling power doubles energy. Use E = P × t to compare devices quickly. 11 Welcome to the Energy Challenge In this game, you solve problems using E = P × t to estimate energy use and costs. Each correct answer earns 20 points. 12 Question 1 Question 1: A 150 W lamp runs for 2 hours. Find energy in kWh. A) 0.15 B) 0.30 C) 0.75 D) 1.50 13 Question 2 Question 2: A fridge is 60 W and runs 24 hours daily. Energy used in a day is: A) 1.44 kWh B) 0.96 C) 2.00 D) 3.00 14 Question 3 Question 3: If electricity costs $0.15 per kWh and energy is 2 kWh, what is the cost? A) $0.20 B) $0.30 C) $0.15 D) $0.25 15 Question 4 Question 4: A 100 W TV runs for 5 hours. Energy used is: A) 0.40 kWh B) 0.50 kWh C) 0.60 D) 0.30 16 Question 5 Question 5: A computer uses 250 W for 7 hours. Energy is: A) 1.25 kWh B) 1.50 C) 1.75 kWh D) 2.00 17 Scoring Overview Scoring: Each correct answer = 20 points. Perfect score = 100 points. No penalties for wrong answers. 18 Tips to Lower Energy Use efficient devices, unplug idle appliances, and use smart thermostats. Small changes reduce cost over time without sacrificing comfort. 19 Calculating Cost Quickly Cost = Energy (kWh) × Price per kWh. Remember to convert watts to kilowatts and hours to hours for t. 20 Keep Practicing Review each example, compare your answers, and learn how small changes in P or t impact energy cost.

Electrical Energy with E = P × tVersión en línea

Solve energy use with E = P × t.

por Prince Jomari Torate Pangantihon

Introduction to E = P × t

The energy consumed by an electrical device is given by E = P × t, linking energy (kWh), power (kW), and time (h).

Power

Power is the rate of energy use. Measured in kilowatts (kW); it shows how much energy the device uses per hour at full operation.

Time

Time is how long the device runs. Measured in hours (h); longer use increases total energy proportionally.

Example Setup

Example: A 2 kW heater runs for 3 hours. Calculate the energy consumed using E = P × t.

Example Calculation

E = 2 kW × 3 h = 6 kWh. The heater uses 6 kilowatt-hours of energy.

Problem 1

Problem 1: A 0.75 kW lamp stays on for 5 hours. Find E in kWh.

Problem 2

Problem 2: A device draws 4.5 kW and runs for 2.5 hours. What is E?

Problem 3

Problem 3: If energy consumption is 9 kWh and time is 3 hours, what is the power in kW?

Unit Tips

Tip: Always match units: E in kWh, P in kW, t in h. E = P × t, so convert minutes to hours if needed.

Key Takeaway

Remember: Doubling time or doubling power doubles energy. Use E = P × t to compare devices quickly.

Welcome to the Energy Challenge

In this game, you solve problems using E = P × t to estimate energy use and costs. Each correct answer earns 20 points.

Question 1

Question 1: A 150 W lamp runs for 2 hours. Find energy in kWh.
A) 0.15 B) 0.30 C) 0.75 D) 1.50

Question 2

Question 2: A fridge is 60 W and runs 24 hours daily. Energy used in a day is:
A) 1.44 kWh B) 0.96 C) 2.00 D) 3.00

Question 3

Question 3: If electricity costs $0.15 per kWh and energy is 2 kWh, what is the cost?
A) $0.20 B) $0.30 C) $0.15 D) $0.25

Question 4

Question 4: A 100 W TV runs for 5 hours. Energy used is:
A) 0.40 kWh B) 0.50 kWh C) 0.60 D) 0.30

Question 5

Question 5: A computer uses 250 W for 7 hours. Energy is:
A) 1.25 kWh B) 1.50 C) 1.75 kWh D) 2.00

Scoring Overview

Scoring: Each correct answer = 20 points. Perfect score = 100 points. No penalties for wrong answers.

Tips to Lower Energy

Use efficient devices, unplug idle appliances, and use smart thermostats. Small changes reduce cost over time without sacrificing comfort.

Calculating Cost Quickly

Cost = Energy (kWh) × Price per kWh. Remember to convert watts to kilowatts and hours to hours for t.

Keep Practicing

Review each example, compare your answers, and learn how small changes in P or t impact energy cost.

Puedes integrar el juego en un LMS compatible con LTI 1.1 o LTI 1.3 como Canvas, Moodle, o Blackboard. De esta manera podrás guardar las puntuaciones automáticamente en el libro de calificaciones de esa plataforma.