Solar Cell Array Configuration

The problem describes a solar cell array made up of individual solar cells. These cells are arranged in both series and parallel connections to achieve a desired output voltage and current.

• Total number of solar cells = 400
• Number of cells connected in series within each string = 40
• Number of strings connected in parallel = 10
• Voltage produced by each individual cell ($V_o$) = 0.45 V
• Current produced by each individual cell ($I_o$) = 57 mA

Calculating Solar Array Voltage

The total voltage output of a solar array is determined by the number of cells connected in series. When cells are connected in series, their individual voltages add up.

In this setup, there are 40 cells connected in series in each parallel string. The voltage of one such series string is calculated as follows:

Voltage per string = (Number of cells in series) $\times$ (Voltage per cell)

Voltage per string = $40 \times V_o$

Voltage per string = $40 \times 0.45 \text{ V}$

Voltage per string = $18 \text{ V}$

Understanding Series vs. Parallel Connections

The 10 parallel connections determine the total current output of the array. When multiple strings are connected in parallel, their currents add up. However, the overall voltage of the array remains the same as the voltage of a single series string.

Therefore, the maximum charging voltage required for the system is the voltage generated by one series string.

Maximum Charging Voltage = Voltage per string = $18 \text{ V}$

This voltage is sufficient for charging a battery or powering a device that requires up to 18V.