Energy and Power Signals MCQ Quiz in বাংলা - Objective Question with Answer for Energy and Power Signals - বিনামূল্যে ডাউনলোড করুন [PDF]

Last updated on Apr 7, 2025

পাওয়া Energy and Power Signals उत्तरे आणि तपशीलवार उपायांसह एकाधिक निवड प्रश्न (MCQ क्विझ). এই বিনামূল্যে ডাউনলোড করুন Energy and Power Signals MCQ কুইজ পিডিএফ এবং আপনার আসন্ন পরীক্ষার জন্য প্রস্তুত করুন যেমন ব্যাঙ্কিং, এসএসসি, রেলওয়ে, ইউপিএসসি, রাজ্য পিএসসি।

Latest Energy and Power Signals MCQ Objective Questions

Top Energy and Power Signals MCQ Objective Questions

Energy and Power Signals Question 1:

The power of the signal

\(\rm{x\left( t \right) = {e^{ - 2t}}u\left( t \right)}\)

  1. \(\rm{0 \ W}\)

  2. \(\rm{\frac{1}{2} \ W}\)

  3. \(\rm{\frac{1}{4} \ W}\)

  4. \(\rm{\frac{1}{8} \ W}\)

Answer (Detailed Solution Below)

Option 1 :

\(\rm{0 \ W}\)

Energy and Power Signals Question 1 Detailed Solution

\(\rm{\begin{array}{l} P = \begin{array}{*{20}{c}} {lim}\\ {T \to \infty } \end{array}\frac{1}{{2T}}\mathop \smallint \limits_{ - T}^T |x\left( t \right){|^2}dt = \begin{array}{*{20}{c}} {lim}\\ {T \to \infty } \end{array}\frac{1}{{2T}}\mathop \smallint \limits_0^T |{e^{ - 2t}}{|^2}dt = \begin{array}{*{20}{c}} {lim}\\ {T \to \infty } \end{array}\frac{1}{{2T}}\mathop \smallint \limits_0^T {e^{ - 4t}}dt\\ \Rightarrow P = \left. {\begin{array}{*{20}{c}} {lim}\\ {T \to \infty } \end{array}\frac{1}{{2T}}.\frac{{{e^{ - 4t}}}}{{\left( { - 4} \right)}}} \right|_o^T = \begin{array}{*{20}{c}} {lim}\\ {T \to \infty } \end{array}\frac{1}{{2T}}.\frac{1}{4}\left[ {1 - {e^{ - 4T}}} \right]\\ \Rightarrow P = \begin{array}{*{20}{c}} {lim}\\ {T \to \infty } \end{array}\frac{1}{{8T}}\left[ {1 - {e^{ - 4T}}} \right] = 0 \end{array}}\)

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