Question
Download Solution PDF12.74 వోల్ట్ల సగటు విలువ కలిగిన సైన్ వేవ్ఫారమ్ యొక్క పీక్ టు పీక్ విలువ కనుగొనండి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFభావన:
రెండు భాగాలు ఒకదానికొకటి రద్దు చేయడం వలన ఒక పూర్తి సైకిల్లో సైనూసోయిడల్ తరంగ రూపం యొక్క సగటు విలువ సున్నా అవుతుంది, కాబట్టి సగటు విలువ సగం సైకిల్లో తీసుకోబడుతుంది.
\({V_{avg}} = \frac{1}{\pi }\mathop \smallint \nolimits_0^\pi {V_p}\sin \theta \;d\theta \)
\({V_{avg}} = \frac{{{V_p}}}{\pi }\left( { - \cos \theta } \right)_0^\pi \)
\({V_{avg}} = \frac{{2{V_p}}}{\pi } = 0.637 × {V_p}\)
కాబట్టి, సైనూసోయిడల్ వేవ్ యొక్క సగటు విలువ గరిష్ట విలువ కంటే 0.637 రెట్లు ఉంటుంది.
గణన:
ఇచ్చినది,
Vసగటు = 12.74 V
\({V_{avg}} = \frac{{2{V_p}}}{\pi } = 0.637 × {V_p}\)
\(V_p=\frac{12.47}{0.637}~ V\)
= 19.57 వి
∵ పీక్ టు పీక్ వోల్టేజ్ని కనుగొనమని మమ్మల్ని అడిగారు.
∴ Vpp = 2 × 19.57 ≈ 40 V
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