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Answer :
To solve the problem it is necessary to find the total power generated by each of the panels and then through a proportional relationship find the number of total panels.
There is an efficiency of 18% of which the area of [tex]1.66m ^ 2[/tex] receives a surface radiation of [tex]1kW / m ^ 2[/tex]
Therefore the power is subject to
[tex]P_u = 1*1.66*(18\%)[/tex]
[tex]P_u = 0.2988kW[/tex]
Each panel will have the capacity to produce 0.2998kW
The number of panels required is determined by the total power given by each of the panels, that is
[tex]P_T = \#Panels * P_u[/tex]
[tex]\#Panels = \frac{P_T}{P_u}[/tex]
[tex]\#Panels = \frac{2kW}{0.2988kW}[/tex]
[tex]\#Panels = 6.69 \approx 7[/tex]
Therefore the number of panels required are 7
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