एक विलंबित पूर्ण-तरंग दिष्टकृत ज्यावक्रीय धारा का औसत मूल्य इसके अधिकतम मूल्य के आधे के बराबर होता है। विलंब कोण θ ज्ञात कीजिए।

F1 U.B 18.9.20 Pallavi D14

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  1. \(\theta = {\cos ^{ - 1}}\left( {\frac{\pi }{2} - \frac{1}{2}} \right)\;\;\)
  2. \(\theta = {\cos ^{ - 1}}\left( {\frac{\pi }{2} + 1} \right)\)
  3. \(\theta = {\cos ^{ - 1}}\left( {\frac{\pi }{2} - 1} \right)\)
  4. \(\theta = {\cos ^{ - 1}}\left( {\frac{\pi }{2}} \right)\)

Answer (Detailed Solution Below)

Option 3 : \(\theta = {\cos ^{ - 1}}\left( {\frac{\pi }{2} - 1} \right)\)
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अवधारणा:

R भार के साथ एक पूर्ण-तरंग नियंत्रित दिष्टकारी की औसत निर्गत वोल्टता निम्न द्वारा दी जाती है:

\({V_0} = \frac{{{V_m}}}{\pi }\left( {1 + \cos \alpha } \right)\)

जहां Vm आपूर्ति वोल्टेज का अधिकतम मूल्य है

α प्रसर्जन कोण या विलंब कोण है

औसत भार धारा:

\({I_0} = \frac{{{V_m}}}{{\pi R}}\left( {1 + \cos \alpha } \right) = \frac{{{I_m}}}{\pi }\left( {1 + \cos \alpha } \right)\)

गणना:

दिया गया है कि औसत भार धारा का औसत मूल्य इसके अधिकतम मूल्य के आधे के बराबर है।

\(\frac{{{I_m}}}{2} = \frac{{{I_m}}}{\pi }\left( {1 + \cos \theta } \right)\)

\(\theta = {\cos ^{ - 1}}\left( {\frac{\pi }{2} - 1} \right)\)
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