Question
Download Solution PDFसाइन तरंगरूप का शिखर से शिखर मान क्या हैं जिसका औसत मान 12.74 वोल्ट है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
एक पूर्ण चक्र पर ज्यावक्रीय तरंगरूप का औसत मान शून्य होता है क्योंकि दो अर्ध चक्र एक-दूसरे को रद्द कर देते हैं, इसलिए औसत मान को एक अर्ध चक्र पर लिया जाता है।
\({V_{avg}} = \frac{1}{\pi }\mathop \smallint \nolimits_0^\pi {V_p}\sin \theta \;d\theta \)
\({V_{avg}} = \frac{{{V_p}}}{\pi }\left( { - \cos \theta } \right)_0^\pi \)
\({V_{avg}} = \frac{{2{V_p}}}{\pi } = 0.637 × {V_p}\)
इसलिए, एक ज्यावक्रीय तरंग का औसत मान अधिकतम मान का 0.637 गुना है।
गणना:
दिया हुआ है,
Vavg = 12.74 V
\({V_{avg}} = \frac{{2{V_p}}}{\pi } = 0.637 × {V_p}\)
\(V_p=\frac{12.47}{0.637}~ V\)
= 19.57 V
∵ हमें शिखर से शिखर तक वोल्टेज प्राप्त करने के लिए कहा जाता है।
∴ Vp-p = 2 × 19.57 ≈ 40 V
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