The current in a circuit follows the relation i = 200 sin ωt. If frequency is 50 Hz, how long will it take for the current to rise to 100 A?

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DFCCIL Executive Electrical 2016 Official Paper
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  1. 3.33 ms
  2. 5.98 ms
  3. 0.32 ms
  4. 1.66 ms

Answer (Detailed Solution Below)

Option 4 : 1.66 ms
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Detailed Solution

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Concept:

Equation of current is I = Im sin ωt

Im = Maximum current

ω = Angular frequency = 2πf

f = Frequency

Calculation:

Given, I = 100 A

f = 50 Hz

100 = 200 sin 2 × π × 50 × t

100 × π × t = 30° = π/6

t = 1/600 s   

t = 1.666 ms

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