(a)
The value of
(a)
Answer to Problem 33E
The value of
Explanation of Solution
Given data:
The function is given as,
Calculation:
The function is simplified as,
Apply the partial fraction on the above expression.
The equation is written as,
Substitute
Substitute
The simplification of equation (3) is written as,
Equate the coefficient of
Substitute
Substitute
Substitute
The Laplace transform of
The Laplace transform of
The properties for Laplace transform are written as,
The inverse Laplace of the given function is written as,
Substitute
Conclusion:
Therefore, the value of
(b)
The value of
(b)
Answer to Problem 33E
The value of
Explanation of Solution
Given data:
The function is given as,
Calculation:
The function is simplified as,
Apply the partial fraction on the above expression.
The equation is written as,
Substitute
Substitute
The simplification of equation (8) is written as,
Equate the coefficient of
Substitute
Substitute
Substitute
The Laplace transform of
Substitute
Conclusion:
Therefore, the value of
(c)
The value of
(c)
Answer to Problem 33E
The value of
Explanation of Solution
Given data:
The function is given as,
Calculation:
The function is simplified as,
The Laplace transform of
Substitute
Conclusion:
Therefore, the value of
(d)
The value of
(d)
Answer to Problem 33E
The value of
Explanation of Solution
Given data:
The function is given as,
Calculation:
Substitute
Conclusion:
Therefore, the value of
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Chapter 14 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
- A system is described by the differential equation (see attached). a)What is the order of the system. How many poles does the system's transfer function have. How many states are needed to describe the system completely.b) Determine the system's transfer function, Y(s)/U(s) (the poles of the system are at ―1, ― 2, and ―4);c) Determine matrices A, B, C, and D to describe the system in state-space form x' = Ax + Bu, y = Cx + Du.arrow_forwardGiven the system, give the difference equation and the impulse response of the system, y(-1) = 2 y(-2)=1arrow_forwardFind the response Y(s) of the system described below: Note: Note that the initial conditions of the system are non-zero (i.e. ‡ 0).arrow_forward
- A system has a closed-loop transfer function T(s) = 1/s^3 + 5s^2 + 20s + 6 (a)Determine whether the system is stable.(b)Determine the roots of the characteristic equation.(c)Plot the response of the system to a unit step input.arrow_forwardGiven the system, obtain the overall system function and the difference equation.arrow_forwardThe block diagram of a time-invariant, linear, continuous-time system is given below. X1(s) and X2(s) are the state variables of the system. U(s) is the input signal of the system, Y(s) is the output signal of the system. What is the value of parameter E?arrow_forward
- 40 - When the unit step function is applied to the system input given the block diagram below, the output response takes the value c (infinity) = 3 for t = infinity. So which of the following can be the constants K, a?A) K = 0.05, a = 0.25B) K = 3, a = 1C) K = 0.35, a = 0.55D) K = 1, a = 3E) K = 0.45, a = 0.65arrow_forwardGiven a system impulse response h(n)=(2 1 2) 1)Determine the energy of the system output when the input is x(n)=( 1 1 )arrow_forward1. Derive the transfer function, G(s) of the system using V(s) as the input and Vc(s) as the output. See electrical circuit attached.arrow_forward
- The mathematical models of some continuous time systems are given above. x(t) is the input signal of the system, and y(t) is the output signal of the system. Which of the following systems has fixed parameters and which has variable parameters?arrow_forwardFor a continuous time LTI system, the output is given as Y(s)=10(2s+3)/(s2+4s+5). Find out the final value of y(t) using final value theorem.arrow_forwardIf G(s) = 1 / (s + 2), find the response c(t) if the input r(t) = u(t), a unit step, assuming zero initial condition.arrow_forward
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