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

Options

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

Explanation

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

### Step-by-step Solution:

1. **Identify the Given Value**:
The maximum voltage (V_max) is given as 423 volts.

2. **Understand the Relationship**:
The effective voltage (V_rms) for a sine wave is calculated using the formula:
\[ V_{rms} = \frac{V_{max}}{\sqrt{2}} \]

3. **Substitute the Given Value**:
We substitute the value of V_max into the formula:
\[ V_{rms} = \frac{423 \, \text{volts}}{\sqrt{2}} \]

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

5. **Perform the Calculation**:
Now, we calculate V_rms:
\[ V_{rms} = \frac{423}{1.414} \approx 299.106 \, \text{volts} \]

6. **Round the Result**:
We can round this value to the nearest whole number, which gives us approximately 300 volts.

7. **Select the Correct Option**:
Among the options provided (323 volts, 340 volts, 400 volts, and 300 volts), the closest value to our calculated effective voltage is 300 volts.

### Final Answer:
The effective voltage (RMS voltage) is approximately **300 volts**.

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