Final Value Theorem MCQ Quiz in मराठी - Objective Question with Answer for Final Value Theorem - मोफत PDF डाउनलोड करा
Last updated on Apr 11, 2025
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Final Value Theorem Question 1:
Given that \({L^{ - 1}}\left( {{{5{S^2} + 3S} \over {{S^4} + 7{S^3} + \left( {K + 9} \right){S^2}}}} \right) = f\left( t \right)\)
And steady state value of signal is 2 then k is:
Answer (Detailed Solution Below)
- 7.5
Final Value Theorem Question 1 Detailed Solution
\(\eqalign{ & \mathop {\lim }\limits_{t \to \infty } f\left( t \right) = \mathop {\lim }\limits_{s \to 0} sf\left( s \right) = 2 \cr & = \mathop {\lim }\limits_{s \to 0} S\left( {{{5{S^2} + 3S} \over {{S^4} + 7{S^3} + \left( {K + 9} \right){S^2}}}} \right) = 2 \cr & = {3 \over {K + 9}} = 2 \cr & \therefore K = - 9 + 1.5 = - 7.5 \cr}\)
Final Value Theorem Question 2:
If F(s) \(=\frac{{2\left( {s + 1} \right)}}{{{s^2} + 2s + 5}}\)then f(0) and f(∞) are
Answer (Detailed Solution Below)
2, 0
Final Value Theorem Question 2 Detailed Solution
\(f(0^+)=\lim_{s \to \infty}sF(s)=2\)
\(f(\infty)=\lim_{s \to 0}sF(s)=0\)