I have no idea how to do this problem:

Design an array of individual solar cells that woulproduce 120 volts DC. About how large an area of solar cells would be needed to produce 2 kWe of/ output power at noon on a clear day

http://www.grc.nasa.gov/WWW/K-12/Numbers/Math/Mathematical_Thinking/sun12.htm

Is a start.

The actual connections, and voltage regulators, are a little complex.

To solve this problem, you need to know the specifications of the individual solar cells and the power output they can provide. Here's a step-by-step approach to finding the solution:

1. Determine the power output of an individual solar cell: Look for the datasheet or technical specifications of the solar cell you are using. It should provide information about the maximum power output of a single cell. Let's call this value Psolar.

2. Calculate the number of solar cells required to produce 2 kilowatts of power (2 kW): Since the power output is given in kilowatts, you need to convert it to watts. 1 kilowatt (kW) is equal to 1000 watts (W). So, the total power required would be 2000 W (2 kW = 2000 W).

The number of solar cells required can be calculated by dividing the total power required by the power output of a single solar cell:
Number of solar cells = Total power required (W) / Psolar

3. Determine the voltage output of a single solar cell: Check the specifications of the solar cell to find its voltage output. Let's call this value Vsolar.

4. Calculate the total voltage required: The problem states that the solar cells must produce a voltage of 120 volts DC. Divide the total voltage required by the voltage output of a single solar cell to get the number of solar cells needed in series:
Number of solar cells in series = Total voltage required / Vsolar

5. Calculate the total area needed: The surface area required for the array depends on the efficiency of the solar cells, which determines how much power is produced per unit area. Solar cell efficiency is typically given in percentage form (%). Let's call this value Esolar.

Calculate the total area needed using the following formula:
Total area = Total power required (W) / (Esolar/100)

Please note that the values for Psolar, Vsolar, and Esolar will depend on the specific solar cell technology and specifications you are using. Make sure to refer to the datasheet or technical specifications of your solar cells to obtain accurate values for these variables.