एक विलंबित पूर्ण-तरंग दिष्टकारी ज्यावक्रीय धारा का औसत मान इसके अधिकतम मान एक तिहाई के बराबर होता है विलंब कोण ज्ञात कीजिए।

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SSC JE EE Previous Paper 8 (Held on: 28 Oct 2020 Morning)
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  1. cos-10.047
  2. cos-10.678
  3. cos-10.866
  4. cos-10.386

Answer (Detailed Solution Below)

Option 1 : cos-10.047
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Detailed Solution

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अवधारणा:

माना Vm परिवर्तक के AC इनपुट वोल्टेज का अधिकतम मान है और V0 परिवर्तक की औसत आउटपुट वोल्टेज है और α विलंब कोण है।

एकल-फेज अर्ध परिवर्तक या विलंबित पूर्ण-तरंग दिष्टकारी के लिए,

\({V_0} = \frac{{{V_m}}}{π }\left( {1 + cosα } \right) \)

गणना:

दिया गया है कि,

\({V_0} = \frac{{{V_m}}}{3} \)

इसलिए, समीकरण बनती है,

\(\frac{{{V_m}}}{3} = \frac{{{V_m}}}{π }\left( {1 + cosα } \right)\)

or,

\(\frac{π }{3} = \left( {1 + cosα } \right) \)

cos α = 0.047
α = cos-1(0.047)

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