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Question: Let us assume that a 100W electric bulb is lighted for 2hr daily and four \(40W\) are lighted for \(...

Let us assume that a 100W electric bulb is lighted for 2hr daily and four 40W40W are lighted for 4hr4hr every day. Find out the energy consumed in kWhkWh in 30days30days.

Explanation

Solution

Energy required can be found by taking the product of the power consumed and the time taken. First of all find the energy consumed by a 100W100W bulb. In the same way, find the energy consumed by 40W40W bulb. Calculate the total energy consumed per day and calculate the same for 30days30days. This will help you in answering this question.

Complete step by step solution:
The energy consumed can be found by taking the product of the power consumed and the time taken. This can be expressed as,
E=PtE=P\cdot t
Where PP be the power consumed and tt be the time taken.
The energy consumed by 100W100Wbulb for a day can be shown as,
E=2×100Wh=0.2kWhE=2\times 100Wh=0.2kWh
The energy consumed by the 40W40Wbulb per day can be represented as,
E=4×4×40Wh=0.64kWhE=4\times 4\times 40Wh=0.64kWh
The total energy consumed per day will be the sum of the energy consumed by the 100W100Wbulb for a day and energy consumed by the 40W40Wbulb per day. That is,
ET=0.2+0.64kWh=0.84kWh{{E}_{T}}=0.2+0.64kWh=0.84kWh
Therefore the energy consumed in thirty days will be the product of the total energy consumed per day and the number of days. This can be written as,
ET=30×0.84=25.2kWh{{E}_{T}}^{\prime }=30\times 0.84=25.2kWh

The total energy consumed by the bulbs for thirty days will be 25.2kWh25.2kWh.

Note:
Power is defined as the amount of energy that has been converted or transferred per unit time. The unit of the power is watt which is equivalent to one joule per second in the International System of Units. In ancient times, the power is often known as activity. Power is a scalar quantity which is having only magnitude.