In an AC circuit the maximum value of voltage is 423 volt, Its effective voltage is :-

Options

A. 400 volt
B. 300 volt
C. 323 volt
D. 340 volt

Answer

To find the effective voltage (RMS voltage) in an AC circuit when the maximum voltage (peak voltage) is given, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- The maximum voltage (peak voltage), \( V_0 = 423 \, \text{V} \).

2. **Understand the Relationship**:
- The effective voltage (RMS voltage) is calculated using the formula:
\[ V_{\text{rms}} = \frac{V_0}{\sqrt{2}} \]
- Here, \( V_{\text{rms}} \) is the effective voltage and \( V_0 \) is the peak voltage.

3. **Substitute the Given Value into the Formula**:
- Plugging in the value of \( V_0 \):
\[ V_{\text{rms}} = \frac{423 \, \text{V}}{\sqrt{2}} \]

4. **Calculate \( \sqrt{2} \)**:
- The value of \( \sqrt{2} \) is approximately \( 1.414 \).

5. **Perform the Division**:
- Now, calculate:
\[ V_{\text{rms}} = \frac{423 \, \text{V}}{1.414} \approx 299.7 \, \text{V} \]

6. **Round the Result**:
- Rounding \( 299.7 \, \text{V} \) gives approximately \( 300 \, \text{V} \).

7. **Conclusion**:
- Therefore, the effective voltage \( V_{\text{rms}} \) is \( 300 \, \text{V} \).

### Final Answer:
The effective voltage is **300 V**.

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