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Consider a system shown in the given figure
U(s) → 2 → C(s) s
If the system is disturbed so that C(0) = 1, then C (t) for a unit step input will be
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- 1 + t
- 1 – t
- 1 + 2t
- 1 – 2t
Correct Option: C
The system represent an integrator, therefore, if a step function is applied, we get ramp output. This will be enhanced by the initial value present, i.e. by 1.
Thus, c (t) = 1 + 2t; t ≥ 0.
