The direction of alternating currenting current get changed in one cycle –

Options

A. two times
B. one time
C. 50 time
D. 60 time

Answer

To solve the question regarding how many times the direction of alternating current (AC) changes in one cycle, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Alternating Current (AC):**
- Alternating current is an electric current that reverses its direction periodically. The most common form of AC can be represented mathematically as \( I(t) = A \sin(\omega t) \), where:
- \( I(t) \) is the instantaneous current,
- \( A \) is the amplitude of the current,
- \( \omega \) is the angular frequency,
- \( t \) is the time.

2. **Analyzing One Cycle of AC:**
- A complete cycle of AC is defined as the time it takes for the current to return to its original value and direction. For a sine wave, this occurs from \( t = 0 \) to \( t = T \), where \( T \) is the time period of the wave.

3. **Identifying Direction Changes:**
- In one complete cycle of the sine wave:
- The current starts at zero, increases to a maximum positive value (positive half-cycle), then decreases back to zero, and continues to a maximum negative value (negative half-cycle), before returning to zero.
- The points where the current changes direction are:
- From positive to negative (crossing zero) at \( t = \frac{T}{2} \).
- From negative to positive (crossing zero) at \( t = T \).

4. **Counting the Direction Changes:**
- From the analysis, we see that:
- The current changes direction once when it goes from positive to negative.
- The current changes direction again when it goes from negative to positive.
- Therefore, in one complete cycle, the current changes direction **twice**.

5. **Conclusion:**
- The answer to the question is that the alternating current changes its direction **2 times** in one cycle.

### Final Answer:
The direction of alternating current changes **2 times** in one cycle.

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