How many cells each marked `(6V-12A)` should be connected in mixed grouping so that it may be marked `(24V-24A)`

Options

A. 4
B. 8
C. 12
D. 6

Answer

To solve the problem of how many cells each marked `(6V-12A)` should be connected in a mixed grouping to achieve `(24V-24A)`, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Required Output:**
- We need a total output of 24 volts and 24 amperes.

2. **Determine the Current Requirement:**
- Each cell provides a current of 12 amperes.
- To find the number of rows (m) needed to achieve 24 amperes, we use the formula:
\[ m = \frac{\text{Required Current}}{\text{Current per Cell}} = \frac{24 \text{ A}}{12 \text{ A}} = 2 \]
- Thus, we need **2 rows** of cells.

3. **Determine the Voltage Requirement:**
- Each cell provides a voltage of 6 volts.
- To find the number of cells in series (n) needed to achieve 24 volts, we use the formula:
\[ n = \frac{\text{Required Voltage}}{\text{Voltage per Cell}} = \frac{24 \text{ V}}{6 \text{ V}} = 4 \]
- Thus, we need **4 cells in series**.

4. **Calculate the Total Number of Cells:**
- The total number of cells required is the product of the number of rows and the number of cells in each row:
\[ \text{Total Cells} = m \times n = 2 \times 4 = 8 \]

5. **Final Answer:**
- Therefore, the total number of cells required is **8**.