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
receives a surface radiation of
![1kW / m ^ 2](https://img.qammunity.org/2020/formulas/physics/college/vr3lww8j2jlgfxqht07nmeill7xrmo2n5q.png)
Therefore the power is subject to
![P_u = 1*1.66*(18\%)](https://img.qammunity.org/2020/formulas/physics/college/x8oaatwugf4q8ba1buucdky5bqoopn48pj.png)
![P_u = 0.2988kW](https://img.qammunity.org/2020/formulas/physics/college/q1635ymmseloyyu84ok7rvcjoaepggykat.png)
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
![P_T = \#Panels * P_u](https://img.qammunity.org/2020/formulas/physics/college/zyk80vwf3asweqq67i17xsusyp3guvcw9j.png)
![\#Panels = (P_T)/(P_u)](https://img.qammunity.org/2020/formulas/physics/college/s7kz5dlrxh4y1yi3bw27wgwdut1ixyl6zm.png)
![\#Panels = (2kW)/(0.2988kW)](https://img.qammunity.org/2020/formulas/physics/college/rxkpvenvk45p6lv8ndxfm9xwn8v41iyi3r.png)
![\#Panels = 6.69 \approx 7](https://img.qammunity.org/2020/formulas/physics/college/rscge42u4ix7mer0bw7nhse9vvpm62rkm2.png)
Therefore the number of panels required are 7