Chapter 19, Problem 80GP

To determine

The number of cells required to create panel and the area of the big panel. The way to optimize the output of the solar panel.

Answer to Problem 80GP

The number of cells required to create panel is 450 and the area of the big panel is $0.4050{\text{m}}^2$ .

Explanation of Solution

Given info:

Area of a solar cell, $A=3{\text{cm}}^2$

Current delivered by a cell, $I=350\text{mA}$

Formula Used:

Write the expression to calculate the number of cells required to create the panel.

  $n=\frac{\text{Total}\text{required}\text{voltage}}{\text{Voltage}\text{acquired}\text{by}\text{a}\text{cell}}$......... (1)

Calculation:

Substitute the values in equation (1).

  $\begin{array}{c}n=\frac{\text{120}}{\text{0}\text{.80}}\\ =150\end{array}$

Since, a cell can deliver $350\text{mA}$ and a solar panel can deliver $1\text{A}$ current at 120 V. So, calculate the number of solar panels required to deliver 1 A current.

  $I_r=NI$......... (2)

Where,

• $I_r$is the required current.
• $N$is the number of solar panels.

Substitute the values in equation (2).

  $\begin{array}{c}1=N\times 350\times {10}^{-3}\\ N=\frac{1}{350\times {10}^{-3}}\\ =2.85\\ \approx 3\end{array}$

So, the total numbers of panels required is 3. Calculate the total cells required to create the panel.

  $\begin{array}{c}\text{Cell}\text{required}=3\times 150\\ =450\end{array}$

Therefore, the total 450 cells are required to create the panel.

Calculate the area acquired by the panel.

  $\begin{array}{c}\text{Area}=450\times {\left(3\times {10}^{-2}\right)}^2{\text{m}}^2\\ =0.4050{\text{m}}^2\end{array}$

From the above, it is clear that the maximum power can be optimize when the series of panels are connected in parallel.

Conclusion:

Therefore, the number of cells required to create panel is 450 and the area of the big panel is $0.4050{\text{m}}^2$ .