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Consider a system shown in the given figure. 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
- 1 + t
Correct Option: C
From the given figure it is clear that the system is integrator, this means that step input will produce the ramp output.
C(s) = u(s). H(s)
| = 1· | = | ∫dt | ||
| s | 1 |
or
C(t)=2t + C(0)
C (t)=2t + 1 (∴ C(0) = 1)
