Answer to Question #241063 in Electric Circuits for Ian

Question

In a household during a particular week three 2kW fires are used on average 25h each and eight 100W light bulbs are used on average 35h each.Determine the cost of electricity for the week if 1 unit of electricity costs 15p.

Answer 1

First, we have to calculate the energy consumed in total and it has to be expressed in kWh, thus the consumption of the light bulb will be 100 W=0.100 kW, then we find:

$\text{Power consumed}=(3\,fires)(2\frac{kW}{fire})(25\,h)+(8\,bulbs)(0.100\frac{kW}{bulb})(35\,h) \\ \text{Power consumed}={(6\times25+7\times4)}\,kWh={(150+28)}\,kWh=178\,kWh$

After that, we can calculate the total cost by just multiplying two factors:

$\\ \text{Cost of electricity}=(178\,\cancel{kWh})\Large{(\frac{15p}{\cancel{kWh}})}=2670\,p$

In conclusion, the total cost of electricity will be 2670 p.
Reference:

• Sears, F. W., & Zemansky, M. W. (1973). University physics.