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If the step response to the input step amplitude of 1 V is given by Vo(t) = (1 - e-t / RC), the network can be represented by:
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the step response to the input step amplitude of 1 V is given by Vo...
Concept:
A transfer function is defined as the ratio of the Laplace transform of output to the Laplace transform of input when initial conditions are zero.
Where, Vo = Output voltage
Vi = input voltage
Calculation:
Vo(t) = (1 - e-t / RC) ---(1)
Vi(t) = 1 V ---(2)
Applying Laplace transform to the (1) equation:
Now taking Laplace transform of equation (2):
Vi(s) = 1 / s
Now dividing V0(s) by Vi(s) we get:
Now consider the diagram given in option(a):
Finding V0 by using voltage division rule:
Hence it gives the same transfer function as calculated in equation (4)
Hence option (a) is the correct answer.
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Community Answer
If the step response to the input step amplitude of 1 V is given by Vo...
Concept:
A transfer function is defined as the ratio of the Laplace transform of output to the Laplace transform of input when initial conditions are zero.
Where, Vo = Output voltage
Vi = input voltage
Calculation:
Vo(t) = (1 - e-t / RC) ---(1)
Vi(t) = 1 V ---(2)
Applying Laplace transform to the (1) equation:
Now taking Laplace transform of equation (2):
Vi(s) = 1 / s
Now dividing V0(s) by Vi(s) we get:
Now consider the diagram given in option(a):
Finding V0 by using voltage division rule:
Hence it gives the same transfer function as calculated in equation (4)
Hence option (a) is the correct answer.
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