19. A system has a transfer function of: 8(s+3)(s+8) (s + 2)(s+4) What will be the output as a time function when it is subject to a unit step input? Hint: use partial fractions.

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Number 19. Please find only the final value of the output for a unit step input using the tibia value theorem.
A
68 Page view
oyunuan nigo apar or a venge ampu
True to the input to and function.
system has an input of a voltage of a ramp voltage which increases at 5 V/s. What is the input as an
function?
Read aloud
A system gives an output of 1/(s+5) V(s). What is the output as a function of time?
5. A system has a transfer function of 5/(s+3). What will be its output as a function of time when subject
a unit step input of 1 V and (b) a unit impulse input of 1 V?
6. A system has a transfer function of 2/(s + 1). What will be its output as a function of time when subject te
a step input of 3 V and (b) an impulse input of 3 V?
17. A system has a transfer function of 1/(s+2). What will be its output as a function of time when subject to
a step input of 4 V and (b) a ramp input unit impulse of 1 V/s?
18. Use partial fractions to simplify the following expressions:
(a)
S-6
(s-1(s-2)'
19. A system has a transfer function of:
(b)
8(s + 3)(s+8)
(s + 2)(s + 4)
What will be the output as a time function when it is subject to a unit step input? Hint: use partial
fractions.
20: A system has a transfer function of:
G(s) =
s+5
(c)
s2 + 3s +2'
What will be the output from the system when it is subject to a unit impulse input? Hint: use partial
fractions.
(b)
21. What will be the state of damping of systems having the following transfer functions and subject to a unit
step input?
(a)
1
s²+2s +1'
22. The input x and output y of a system are described by:
8(s + 1)
(s+2)²
dy
dx
d'y
d1²
1
s²+7s+12'
+ 2y = x
2s 1
(s+1)²
+3
(c)
Determine how the output will vary with time when there is an input which starts at zero time and then
increases at the constant rate of 6 units/s. The initial output is zero.
23. The input x and output y of a system are described by:
dy
dx
+2y=x
initially the input and output are zero, what will be the output when there is a unit step input
ad outputy of a systein are described by:
1
s²+s+1
Transcribed Image Text:A 68 Page view oyunuan nigo apar or a venge ampu True to the input to and function. system has an input of a voltage of a ramp voltage which increases at 5 V/s. What is the input as an function? Read aloud A system gives an output of 1/(s+5) V(s). What is the output as a function of time? 5. A system has a transfer function of 5/(s+3). What will be its output as a function of time when subject a unit step input of 1 V and (b) a unit impulse input of 1 V? 6. A system has a transfer function of 2/(s + 1). What will be its output as a function of time when subject te a step input of 3 V and (b) an impulse input of 3 V? 17. A system has a transfer function of 1/(s+2). What will be its output as a function of time when subject to a step input of 4 V and (b) a ramp input unit impulse of 1 V/s? 18. Use partial fractions to simplify the following expressions: (a) S-6 (s-1(s-2)' 19. A system has a transfer function of: (b) 8(s + 3)(s+8) (s + 2)(s + 4) What will be the output as a time function when it is subject to a unit step input? Hint: use partial fractions. 20: A system has a transfer function of: G(s) = s+5 (c) s2 + 3s +2' What will be the output from the system when it is subject to a unit impulse input? Hint: use partial fractions. (b) 21. What will be the state of damping of systems having the following transfer functions and subject to a unit step input? (a) 1 s²+2s +1' 22. The input x and output y of a system are described by: 8(s + 1) (s+2)² dy dx d'y d1² 1 s²+7s+12' + 2y = x 2s 1 (s+1)² +3 (c) Determine how the output will vary with time when there is an input which starts at zero time and then increases at the constant rate of 6 units/s. The initial output is zero. 23. The input x and output y of a system are described by: dy dx +2y=x initially the input and output are zero, what will be the output when there is a unit step input ad outputy of a systein are described by: 1 s²+s+1
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