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ElectricalBasic Electrical
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Kilowatt-hour (kWh) is a unit of?

A

Current

B

Power

C

Energy

D

Resistance

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalBasic Electrical
Option C

Energy

Quick Summary:

The Kilowatt-hour (kWh) is a unit of electrical energy, representing the amount of energy consumed by a device with a power rating of one kilowatt operating continuously for one hour. It is a commercial unit of energy, often referred to as a 'Board of Trade' (BOT) unit.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The Kilowatt-hour (kWh) is a unit of electrical energy, representing the amount of energy consumed by a device with a power rating of one kilowatt operating continuously for one hour. It is a commercial unit of energy, often referred to as a 'Board of Trade' (BOT) unit.

ЁЯФв Key Formulas

E=P├ЧtE = P \times tE=P├Чt тАФ Energy equals power multiplied by time

1┬аkWh=1000┬аW├Ч3600┬аs=3.6├Ч10┬░6┬аJ1 \text{ kWh} = 1000 \text{ W} \times 3600 \text{ s} = 3.6 \times 10┬░6 \text{ J}1┬аkWh=1000┬аW├Ч3600┬аs=3.6├Ч10┬░6┬аJ тАФ Conversion to SI base units

тЪЩя╕П Working Principle

Energy is defined as the integral of power over time, expressed as E=тИлP(t)dtE = \int P(t) dtE=тИлP(t)dt. For a constant power source, this simplifies to E=P├ЧtE = P \times tE=P├Чt. Since power PPP is in kilowatts (kWkWkW) and time ttt is in hours (hhh), the resulting unit is kWhkWhkWh, which is equivalent to 3.6├Ч10┬░63.6 \times 10┬░63.6├Ч10┬░6 Joules (Watt-seconds).

ЁЯУМ Key Points
  • тЦ╕

    kWh measures the total amount of work done or energy consumed.

  • тЦ╕

    It is the standard unit for domestic and industrial electricity billing.

  • тЦ╕

    It is NOT a unit of power; power is measured in Watts (W) or Kilowatts (kW).

  • тЦ╕

    Energy is a scalar quantity.

тЬЕ Advantages
  • тЦ╕

    Provides a practical, human-readable scale for electrical consumption.

  • тЦ╕

    Easily convertible to SI units (Joules) for scientific calculations.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Often confused by laypersons with power, leading to errors in load calculation.

  • тЦ╕

    Represents a large magnitude of energy, not suitable for atomic or subatomic physics.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Electrical utility billing (electricity meters).

  • тЦ╕

    Rating of battery capacities in electric vehicles (EVs).

  • тЦ╕

    Estimation of home appliance energy consumption.

ЁЯУД Additional Information
  • тЦ╕

    The kilowatt-hour is a non-SI unit but is widely accepted for use with the SI.

  • тЦ╕

    Option A (Current) is measured in Amperes (A).

  • тЦ╕

    Option B (Power) is measured in Watts (W) or kW.

  • тЦ╕

    Option D (Resistance) is measured in Ohms (╬й).\Omega).╬й).

ЁЯУК Diagram / Illustration
Energy FormulaEnergy (kWh) = Power (kW) ├Ч Time (h)1 kWh = 3.6 ├Ч 10┬░6 J
тЬЕ

C is correct тАФ Kilowatt-hour (kWh) is a unit of energy derived from the product of power (kilowatts) and time (hours).

Core Concepts Used
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Electrical Energy Power-Time Relationship Units of Measurement
ЁЯТб EXAM TIP

Always differentiate between rate-based units (Power, W) and cumulative-based units (Energy, Wh/kWh). If the unit has 'time' as a factor in the numerator, it is likely Energy.

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