In a sunny location, sunlight has a power density of about 1kW/m 2 . Photovoltai

Question

In a sunny location, sunlight has a power density of about 1kW/m2. Photovoltaic solar cells can convert this powerinto electricity with 14% efficiency. If a typical home uses 390 kWh of electricity per month,how many square meters of solar cells would be required to meet itsenergy requirements? Assume that electricity can be generated fromthe sunlight for 8 hours per day. In a sunny location, sunlight has a power density of about 1kW/m2. Photovoltaic solar cells can convert this powerinto electricity with 14% efficiency. If a typical home uses 390 kWh of electricity per month,how many square meters of solar cells would be required to meet itsenergy requirements? Assume that electricity can be generated fromthe sunlight for 8 hours per day.

Explanation / Answer

According to given data, in 8 hours one square meter of solarplate can produce (with 14% efficiency)     = (1kW/ m2 ) * 14%     = (1kW/ m2 ) * (14/100)     = 0.14kW/ m2 Let us suppose that "x " square meters of solar cellswould require to meet the energy requirements. So 390kW = 0.14kW/ m2* x        x = 390kW / (0.14kW/ m2)               = 2785.7 m2 Hence, 2785.7 m2 of solar plate canproduce an energy 390kW.

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