The frequency of A.C. is 50 Hz. How many times the current becomes zero in one second?

Options

A. 50 times
B. 100 times
C. 200 times
D. 25 times

Explanation

To solve the problem, we need to determine how many times the current becomes zero in one second when the frequency of the alternating current (A.C.) is given as 50 Hz.

### Step-by-Step Solution:

1. **Understanding Frequency**:
- The frequency of A.C. is given as 50 Hz. This means that the A.C. completes 50 cycles in one second.

2. **Identifying Zero Crossings**:
- In one complete cycle of an alternating current, the current goes from positive to negative and back to positive. This means that the current becomes zero twice in one complete cycle (once when it crosses from positive to negative and once when it crosses back from negative to positive).

3. **Calculating Zero Crossings per Cycle**:
- Since the current becomes zero twice in one cycle, we can say that for each cycle, there are 2 zero crossings.

4. **Calculating Total Zero Crossings in One Second**:
- Since there are 50 cycles in one second, and each cycle has 2 zero crossings, we can calculate the total number of times the current becomes zero in one second as follows:
\[ \text{Total Zero Crossings} = \text{Number of Cycles} \times \text{Zero Crossings per Cycle} \]
\[ \text{Total Zero Crossings} = 50 \text{ cycles} \times 2 \text{ zero crossings/cycle} = 100 \text{ zero crossings} \]

5. **Final Answer**:
- Therefore, the current becomes zero **100 times** in one second.