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Electric Power Formula - Definition, Equation, Examples

Electric Power Formula: Electric power is a fundamental concept in our modern world. It drives our homes, industries, and technology, making it essential to understand.
authorImageMurtaza Mushtaq25 Oct, 2023
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Electric Power Formula

What is Electric Power?

Electric Power Formula: Electric power is the rate at which electric energy is transferred or converted in an electrical circuit. It is measured in watts (W) and is calculated using the formula P = VI, where P is power in watts, V is voltage in volts, and I is current in amperes. Electric power is essential for understanding energy usage, designing electrical systems, and powering various devices and appliances in our daily lives. Electric power is the rate at which electric energy is transferred or converted. It's the product of voltage (V) and current (I), commonly measured in watts (W). The formula for electric power is: P = VI Where: - P is the electric power in watts (W) - V is the voltage in volts (V) - I is the current in amperes (A) Understanding this formula is crucial for various applications, from designing electrical circuits to managing energy consumption in your home. Common Applications of Electric Power
  1. Household Electricity: In your home, electric power is what keeps the lights on, powers your devices, and runs your appliances. Understanding power consumption is vital for optimizing energy usage.n
  2. Industrial Applications: Industries rely on electric power for various processes, from manufacturing to transportation. Efficient power usage is key to reducing operational costs.
  3. Renewable Energy: Electric power plays a significant role in renewable energy sources like solar and wind. Converting natural energy into electric power is essential for sustainability.

Formula of Electric Power

  1. Ohm's Law: Ohm's Law connects voltage (V), current (I), and resistance (R) and can be used to derive the power formula:
V = IR P = I 2 R

P = V 2 /R

  1. Power in AC Circuits: In alternating current (AC) circuits, power can be expressed as:
P = VI * cos(θ) P = VI For θ =90 Where θ is the phase angle between the voltage and current waveforms.

Solved Examples Of Electric Power Formula

Numerical Problem 1: A circuit has a voltage of 240 volts (V) and a current of 5 amperes (A). Calculate the electric power in the circuit. Solution : P = 240 V * 5 A = 1200 watts (W) Numerical Problem 2: An electronic device operates at 12 volts (V) with a current of 2 amperes (A). Determine the power consumption. Solution : P = 12 V * 2 A = 24 watts (W) Numerical Problem 3: A factory machine uses 480 volts (V) and a current of 20 amperes (A). Find the electric power it consumes. Solution : P = 480 V * 20 A = 9600 watts (W) Numerical Problem 4: A wind turbine generates 150 volts (V) and produces a current of 10 amperes (A). Determine the electrical power generated. Solution : P = 150 V * 10 A = 1500 watts (W) Numerical Problem 5: A car's battery produces 14 volts (V) and powers a device drawing 1.5 amperes (A) of current. Calculate the power output of the battery. Solution : P = 14 V * 1.5 A = 21 watts (W) Numerical Problem 6: In a classroom, a set of fluorescent lights operates at 220 volts (V) with a current of 0.8 amperes (A). Calculate the power they use. Solution : P = 220 V * 0.8 A = 176 watts (W) Numerical Problem 7: A microwave oven has a voltage of 120 volts (V) and a current of 10 amperes (A). Calculate its power consumption. Solution : P = 120 V * 10 A = 1200 watts (W) Numerical Problem 8: A computer monitor operates at 100 volts (V) and draws 1.5 amperes (A) of current. Determine the power it uses. Solution : P = 100 V * 1.5 A = 150 watts (W) Numerical Problem 9: A generator produces 400 volts (V) and a current of 30 amperes (A). Calculate the electrical power generated. Solution : P = 400 V * 30 A = 12000 watts (W) Numerical Problem 10: A blender has a voltage of 220 volts (V) and a current of 7 amperes (A). Determine its power consumption. Solution : P = 220 V * 7 A = 1540 watts (W)

Electric Power Formula FAQs

What is the difference between electric power and energy?

Electric power is the rate at which energy is transferred or converted, while energy is the total amount of work done. In simple terms, power is the flow of energy.

How do I calculate electric power in a circuit?

To calculate electric power, use the formula P = VI, where P is power in watts (W), V is voltage in volts (V), and I is current in amperes (A).

What are the common units for electric power?

Electric power is commonly measured in watts (W). Larger units, such as kilowatts (kW) and megawatts (MW), are used for more significant power values.

Why is it important to understand electric power in everyday life?

Understanding electric power helps individuals and industries manage energy consumption, reduce costs, and optimize electrical systems for efficiency.
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