For a case of architectural integration, determine the installed power in a 20x30 roof (in m2) when using a-Si modules that have an efficiency of 5.8% at 1000 W / m2.

To determine the installed power in a 20x30 roof that uses a-Si modules with an efficiency of 5.8% at 1000 W/m2, we need to follow these steps:

Step 1: Calculate the area of the roof.
The area of a rectangle is calculated by multiplying the length and width of the rectangle. In this case, the length of the roof is 30 meters and the width is 20 meters.

Area = Length x Width
Area = 30 m x 20 m
Area = 600 m²

So, the area of the roof is 600 square meters (m²).

Step 2: Calculate the power generated by the a-Si modules.
The efficiency of the a-Si modules is given as 5.8%. To calculate the power generated, we need to multiply the area of the roof by the power density of 1000 W/m² and then multiply it by the module efficiency.

Power generated = Area x Power density x Efficiency

Power generated = 600 m² x 1000 W/m² x 0.058

Power generated = 34,800 Watts

Therefore, the installed power in the 20x30 roof, when using a-Si modules with an efficiency of 5.8% at 1000 W/m², is 34,800 Watts.