একটি সাইন তরঙ্গরূপের শীর্ষ থেকে শীর্ষ মান কত, যার গড় মান 12.74 ভোল্ট?

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ALP CBT 2 Electronic Mechanic Previous Paper: Held on 21 Jan 2019 Shift 2
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  1. 40 V
  2. 30 V
  3. 20 V
  4. 10 V

Answer (Detailed Solution Below)

Option 1 : 40 V
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ধারণা:

একটি সম্পূর্ণ চক্রের সাইনোসয়েডাল তরঙ্গরূপের গড় মান শূন্য হয় কারণ দুটি অর্ধ একে অপরকে বাতিল করে দেয়, তাই গড় মানটি অর্ধ চক্রের উপর নির্ভর করে গৃহীত হয়।

 

\({V_{avg}} = \frac{1}{\pi }\mathop \smallint \nolimits_0^\pi {V_p}\sin \theta \;d\theta \)

\({V_{avg}} = \frac{{{V_p}}}{\pi }\left( { - \cos \theta } \right)_0^\pi \)

\({V_{avg}} = \frac{{2{V_p}}}{\pi } = 0.637 × {V_p}\)

অতএব, সাইনোসয়েডাল তরঙ্গের গড় মান সর্বোচ্চ মানের 0.637 গুণ হয়।

F1 U.B. Nita 11.11.2019 D 2

গণনা:

প্রদত্ত,

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

∵ আমাদের শীর্ষ থেকে শীর্ষ ভোল্টেজ নির্ণয় করতে বলা হয়েছে।

∴ Vp-p = 2 × 19.57 ≈ 40 V

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