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2.) Assume you decided to build a cabin off the electrical grid in a remote region of the United States, and your cabin would require 720 kWh per month to easily meet your needs. You decide to produce your electricity using photovoltaic cells and store it using a battery system so that it is available when you wish to use it. If every photovoltaic cell has the potential to produce 0.25 kilowatts (250 watts), and they produced electricity for 24 hours a day, how many photovoltaic cells would you need to meet your electricity needs for a month

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Answer:

4 photovoltaic cells are required to meet monthly energy consumption of the cabin.

Explanation:

Let suppose that PV generation system produces energy at constant energy, the number of photovoltaic system to meet energy consumption of the cabin is:

[tex]n = \frac{E}{\dot E \cdot t}[/tex] (1)

Where:

[tex]E[/tex] - Energy consumption of the PV system, in kilowatt-hours.

[tex]\dot E[/tex] - Power generation of the PV cell, in kilowatts.

[tex]t[/tex] - Working times, in hours.

If we know that [tex]E = 720\,kWh[/tex], [tex]\dot E = 0.25\,kW[/tex] and [tex]t = 720\,h[/tex], then the number of photovoltai cells is:

[tex]n = \frac{E}{\dot E \cdot t}[/tex]

[tex]n = 4[/tex]

4 photovoltaic cells are required to meet monthly energy consumption of the cabin.

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