Question

What will be power generated from an arrangement having 200 solar cells connected in series. Assuming operating voltage of each photo‐voltaic cell as 0.45 V and current output as 1.1A

• A. 90W
• B. 99W
• C. 0.49W
• D. 220W

Hint:

Whether cells are connected in series or parallel, the total power is always the sum of the power of all individual cells: \[ P_{\text{total}} = N \times (V_{\text{cell}} \times I_{\text{cell}}) \] Here, \(P_{\text{total}} = 200 \times (0.45 \times 1.1) = 200 \times 0.495 = 99 \text{ W}\).

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
In electrical circuits, the total voltage, current, and power of an array depend on how the individual cells are connected (either in series or in parallel).
Key Formula or Approach:
For \(N\) identical cells connected in series:
- The total voltage (\(V_{\text{total}}\)) is the sum of the individual cell voltages: \[ V_{\text{total}} = N \times V_{\text{cell}} \] - The total current (\(I_{\text{total}}\)) remains equal to the current of a single cell: \[ I_{\text{total}} = I_{\text{cell}} \] - The total power (\(P\)) generated by the array is: \[ P = V_{\text{total}} \times I_{\text{total}} \]

Step 2: Detailed Explanation:
Let's list the given parameters:
- Number of solar cells (\(N\)) = 200
- Voltage of each cell (\(V_{\text{cell}}\)) = \(0.45 \text{ V}\)
- Current output of each cell (\(I_{\text{cell}}\)) = \(1.1 \text{ A}\)
First, calculate the total operating voltage of the series-connected array: \[ V_{\text{total}} = 200 \times 0.45 \text{ V} = 90 \text{ V} \] Since the cells are connected in series, the total current remains the same as a single cell: \[ I_{\text{total}} = 1.1 \text{ A} \] Now, calculate the total power generated by the array: \[ P = V_{\text{total}} \times I_{\text{total}} \] \[ P = 90 \text{ V} \times 1.1 \text{ A} = 99 \text{ W} \]

Step 3: Final Answer:
The total power generated by the array is 99W.