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A ramp voltage v(t) = 100 volts, is applied to an RC differentiating circuit with R = 5 k Ω and C = 4 F. The maximum output voltage is _______V
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- 0
- 1
- 2
- 3
Correct Option: C
In the Laplace domain,
| V0(s) = | × R = | |||||
| R + | RCs + 1 | |||||
| Cs | ||||||
Vi (t) = 100 tu(t)
| and Vi(s) = | ||
| s2 |
| ∴ V0(s) = |  |  | |||
| s2 | 5 × 103 × 4 × 10-6s + 1 |
| = | ≈ | |||
| s(2 × 10-20 s + 1) | s |
V0 (t) = 2u(t)
∴ Maximum voltage = 2 volts
