एक परिपथ में धारा i = 200 sin ωt के संबंध का अनुसरण करती है। यदि आवृत्ति 50 Hz है तो धारा को 100 A तक बढ़ने में कितना समय लगेगा?

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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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अवधारणा:

धारा का समीकरण I = Im sin ωt है

Im = अधिकतम धारा

ω = कोणीय आवृत्ति = 2πf

f =आवृत्ति

गणना:

दिया गया है, 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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