In A.C. circuit the ratio of virtual current and the r.m.s. current is –

Options

A. 0
B. 0.5
C. 1
D. `sqrt(2)`

Answer

To solve the question regarding the ratio of virtual current and the root mean square (RMS) current in an AC circuit, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Virtual Current**:
- In the context of AC circuits, the term "virtual current" often refers to the RMS current. The RMS current is a way of expressing the effective value of an alternating current.

2. **Definition of RMS Current**:
- The RMS current (I_rms) is defined as the square root of the average of the squares of all instantaneous current values over one complete cycle. It is a measure of the effective value of an AC current.

3. **Identifying the Ratio**:
- The question asks for the ratio of virtual current to RMS current. Since virtual current is defined as RMS current in this context, we can denote both as I_v = I_rms.

4. **Calculating the Ratio**:
- The ratio of virtual current (I_v) to RMS current (I_rms) can be expressed mathematically as:
\[ \text{Ratio} = \frac{I_v}{I_{rms}} = \frac{I_{rms}}{I_{rms}} = 1 \]

5. **Conclusion**:
- Therefore, the ratio of virtual current to RMS current in an AC circuit is 1:1.

### Final Answer:
The ratio of virtual current to RMS current in an AC circuit is 1:1.

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