The frequency of an alternating current is 50Hz, then the time to complete one cycle for current vector will be–

Options

A. 20 ms
B. 50 ms
C. 100 ms
D. 1 s

Answer

To solve the problem of finding the time to complete one cycle of an alternating current with a frequency of 50 Hz, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship Between Frequency and Time Period**:
The frequency (f) of an alternating current is defined as the number of cycles per second. The time period (T), which is the time taken to complete one cycle, is the reciprocal of the frequency.
\[ T = \frac{1}{f} \]

2. **Substitute the Given Frequency**:
In this case, the frequency \( f \) is given as 50 Hz. We can substitute this value into the formula for the time period.
\[ T = \frac{1}{50} \]

3. **Calculate the Time Period**:
Now, we perform the calculation:
\[ T = \frac{1}{50} = 0.02 \text{ seconds} \]

4. **Convert to Milliseconds**:
Since the question might require the answer in milliseconds, we convert seconds to milliseconds. We know that:
\[ 1 \text{ second} = 1000 \text{ milliseconds} \]
Therefore:
\[ T = 0.02 \text{ seconds} \times 1000 = 20 \text{ milliseconds} \]

5. **Final Answer**:
The time to complete one cycle for the current vector is:
\[ T = 20 \text{ milliseconds} \]

### Summary:
The time to complete one cycle for an alternating current with a frequency of 50 Hz is 20 milliseconds.

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