The AC mains domestic supply current in India changes direction in every 

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NDA-II 2024 (GAT) Official Paper (Held On: 01 Sept, 2024)
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  1. 50 s
  2. \(\frac{1}{50}\) s
  3. 100 s
  4. \(\frac{1}{100}\) s

Answer (Detailed Solution Below)

Option 4 : \(\frac{1}{100}\) s
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NDA 01/2025: English Subject Test
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Detailed Solution

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CONCEPT:

AC Mains Supply Frequency

  • Alternating Current (AC) in domestic power supply means the current changes direction periodically.
  • The frequency of the AC mains supply in India is 50 Hz.
  • One complete cycle of AC means it goes from positive to negative and back to positive.
  • The time period (T) of one complete cycle is the reciprocal of the frequency (f).

EXPLANATION:

  • Given the frequency (f) of AC mains supply in India is 50 Hz:
    • Time period (T) = 1 / f
    • = 1 / 50 seconds
    • = 0.02 seconds
  • Since the current changes direction twice in each cycle (once every half cycle):
    • The direction changes every T/2 seconds
    • = 0.02 / 2 seconds
    • = 0.01 seconds
    • = 1/100 seconds

Therefore, the AC mains domestic supply current in India changes direction in every 1/100 seconds.

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