How might the energy use of an appliance be expressed?
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A
Power = energy × time
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B
Time + energy = power
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C
Energy = power × time
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D
Energy/power = time
The energy use of an appliance is expressed as energy equals power multiplied by time.
Appliances consume energy based on how much power they draw and how long they operate. Power represents the rate at which energy is used, while time represents the duration of operation. When an appliance runs at a constant power level, the total energy consumed is found by multiplying its power by the time it is used. This relationship is the basis for how electrical energy consumption is measured and billed.
A) Power = energy × time
Power is defined as energy divided by time, not energy multiplied by time. Multiplying energy by time produces units such as joule·seconds, which do not correspond to power. This relationship does not correctly describe how power, energy, and time are connected.
B) Time + energy = power
Adding time and energy is not physically meaningful because they are different quantities with different units. Physical formulas require units to combine through multiplication or division, not addition, so this expression cannot represent power or energy use.
C) Energy = power × time
Power is the rate of energy use, expressed as energy per unit time. Rearranging this definition gives energy as the product of power and time. In practical terms, this is how household energy consumption is calculated: power in kilowatts multiplied by time in hours gives energy in kilowatt-hours, the unit used on electricity bills.
D) Energy / power = time
Dividing energy by power does yield time, and this relationship can be useful for determining how long an appliance runs. However, it does not directly express energy use, which is what the question asks for.
Conclusion
Energy consumption depends on both how powerful an appliance is and how long it operates. Multiplying power by time provides the correct and practical way to express an appliance’s energy use
Topic Flashcards
Click to FlipWhat is the correct mathematical relationship between energy (E), power (P), and time (t)?
E = P × t (Energy equals power multiplied by time).
Rearrange the formula E = P × t to solve for power (P).
P = E / t (Power equals energy divided by time).
In the utility unit "kilowatt-hour (kWh)", what do the kilowatts and hours represent in the formula E = P × t?
Kilowatts represent power (P) and hours represent time (t). The kWh is therefore a unit of energy.
If a 1500 W heater runs for 2 hours, how much energy does it use in kilowatt-hours (kWh)?
Energy = Power × Time = 1.5 kW × 2 h = 3 kWh.
Which single variable determines the rate at which an appliance uses energy?
Power. It is the rate (energy per unit time).