The peak voltage of an ac supply is 440 V, then its rms voltage is

Options

A. `31.11 V`
B. `311.1 V`
C. `41.11 V`
D. `411.1V`

Explanation

To find the RMS (Root Mean Square) voltage from the peak voltage of an AC supply, we can follow these steps:

### Step 1: Identify the given values
We are given the peak voltage (V₀) of the AC supply, which is 440 V.

### Step 2: Recall the formula for RMS voltage
The formula to convert peak voltage to RMS voltage is:
\[ V_{rms} = \frac{V_0}{\sqrt{2}} \]

### Step 3: Substitute the given value into the formula
Now, we will substitute the peak voltage into the formula:
\[ V_{rms} = \frac{440 \, \text{V}}{\sqrt{2}} \]

### Step 4: Calculate the value of RMS voltage
To calculate this, we first need to find the value of \(\sqrt{2}\):
\[ \sqrt{2} \approx 1.414 \]
Now, substituting this value into the equation:
\[ V_{rms} = \frac{440 \, \text{V}}{1.414} \]

### Step 5: Perform the division
Now, we perform the division:
\[ V_{rms} \approx 311.17 \, \text{V} \]

### Conclusion
Thus, the RMS voltage is approximately 311.17 V.

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