220 V AC means rms voltage and voltage amplitude have the values

Options

A. 220 V, 311 V
B. 220 V, 110 V
C. 220 V, 420 V
D. 240 V, `(220)/(l)`

Explanation

To solve the problem of finding the voltage amplitude from the given RMS voltage of 220 V AC, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between RMS voltage and amplitude**:
- The RMS (Root Mean Square) voltage \( V_{RMS} \) is related to the maximum voltage amplitude \( V_0 \) by the formula:
\[ V_{RMS} = \frac{V_0}{\sqrt{2}} \]

2. **Rearrange the formula to find the amplitude**:
- To find the maximum voltage amplitude \( V_0 \), we can rearrange the formula:
\[ V_0 = V_{RMS} \times \sqrt{2} \]

3. **Substitute the given RMS voltage**:
- We are given \( V_{RMS} = 220 \, V \). Now substitute this value into the rearranged formula:
\[ V_0 = 220 \, V \times \sqrt{2} \]

4. **Calculate the value of \( V_0 \)**:
- We know that \( \sqrt{2} \approx 1.414 \). Therefore:
\[ V_0 \approx 220 \, V \times 1.414 \approx 311.08 \, V \]

5. **Round the result**:
- We can round this value to \( 311 \, V \) for simplicity.

### Final Answer:
The voltage amplitude \( V_0 \) is approximately **311 V**.

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