Question

What is the value of Z?
${\text{1kWh = }}\dfrac{{{{1volt \times 1ampere \times Z}}}}{{{\text{1000}}}}$

Answer 1

Hint: The kilowatt-hour is a unit of energy equal to 3600 kilojoules (SI symbol: kW h) (3.6 megajoules). Electric utilities frequently utilise the kilowatt-hour as a billing unit for energy provided to customers. The kilowatt-hour notation "kW/h" is erroneous, as it refers to kilowatt per hour.

Complete step by step answer:
The kilowatt-hour is a composite energy unit equivalent to one kilowatt (kW) of continuous power for one hour. It is equivalent to 3600 kilojoules when expressed in the International System of Units' (SI) standard unit of energy, the joule (symbol J) (3.6 MJ). The hour is one of the non-SI units that the International Bureau of Weights and Measures has approved for use alongside the SI. As a result, its use in conjunction with the kilowatt, a conventional SI unit, is authorised.
Consumers are generally charged in kilowatt-hours for electrical energy. The cost of running an electrical device is determined by multiplying the equipment's power consumption in kilowatts by the operating time in hours, and then multiplying that by the price per kilowatt-hour. Utility providers may charge a different unit price for energy depending on the customer's usage pattern over time. The cost of living varies a lot depending on where you live. In the United States, prices can vary by a factor of three between states.
\[{\text{1 kWh = 1 kilo x 1 watt x 1 hour}}\]
Watt can be described as voltage x ampere.
Hence,
\[{\text{1 kWh = 1 kilo x 1 volt x 1 ampere x 1 hour}}\]
Now in the question
${\text{1kWh = }}\dfrac{{{{1volt \times 1ampere \times Z}}}}{{{\text{1000}}}}$
So equating both R H S
\[{\text{ }}\dfrac{{{{1volt \times 1ampere \times Z}}}}{{{\text{1000}}}}{\text{ = 1 kilo x 1 volt x 1 ampere x 1 hour}}\]
Upon simplifying
${\text{Z = 1}}{{\text{0}}^{\text{6}}}{\text{hour}}$

Note:
When cross multiplying, avoid making mistakes and attempt to remember a fact. Energy is the product of power multiplied by time. Energy is the amount of work done, and power is the rate at which that energy is delivered. The unit of energy is joules, or watt-seconds. Watts, or joules per second, are the units of measurement for power.