उस विकल्प का चयन करें जो निम्न तरंगरूप का औसत मान देगा।

F1 Uday 18-9-2020 Swati D5

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PGCIL Diploma Trainee EE Official Paper held on 13 September 2018
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  1. π2απFm
  2. π+απFm
  3. Fm / π
  4. παπFm

Answer (Detailed Solution Below)

Option 4 : παπFm
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CT 1: Classification I
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Detailed Solution

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अवधारणा:

एक आवधिक तरंगरूप का औसत मान निम्न रूप में दिया जाता है

Favg=1T0Tf(t)dt

यह दिए गए तरंगरूप के क्षेत्रफल की गणना करके भी गणना की जाती है।

Favg=AT

जहां A क्षेत्रफल है

एक आवधिक तरंग का RMS मान निम्न रूप में दिया जाता है

Frms=1T0T[f(t)]2dt

जहाँ T दिए गए तरंगरूप की समय अवधि है।

गणना​:

F1 Uday 18-9-2020 Swati D5

दिए गए तरंगरूप की समय अवधि (T) = π

दिए गए तरंग का क्षेत्रफल है,

A=(12×α×Fm)+Fm(π2α)+(12×α×Fm)

= Fm (π – α)

औसत मान =παπFm
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