Two identical fuses are rated at `10A`. If they are joined

Options

A. parallel, the combination acts as a fuse of rating 20 A
B. parallel, the combination acts as a fuse a rating 5 A
C. series, the combination acts as a fuse of rating 10 A
D. series, the combination acts as a fuse of rating 20 A

Explanation

To solve the problem regarding the two identical fuses rated at 10A, we need to analyze their behavior when connected in both parallel and series configurations.

### Step-by-Step Solution:

1. **Understanding Fuse Ratings**:
Each fuse is rated at 10A, which means it can safely carry a maximum current of 10A before it blows.

2. **Parallel Connection**:
- When fuses are connected in parallel, the total current rating of the combination is the sum of the current ratings of each fuse.
- Therefore, if we connect two 10A fuses in parallel, the total current rating will be:
\[ I_{\text{total}} = I_1 + I_2 = 10A + 10A = 20A \]
- This means that in a parallel configuration, the two fuses can handle a maximum current of 20A together.

3. **Series Connection**:
- When fuses are connected in series, the current flowing through each fuse is the same, and the overall current rating is determined by the lowest rating among the fuses.
- Since both fuses are rated at 10A, the total current rating for the series connection remains:
\[ I_{\text{total}} = 10A \]
- This means that in a series configuration, the two fuses can still only handle a maximum current of 10A.

4. **Conclusion**:
- In summary:
- For parallel connection: The rating is 20A.
- For series connection: The rating is 10A.
- Therefore, the correct options based on the configurations are:
- Option A (for parallel connection) is correct.
- Option C (for series connection) is correct.