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A first-order low-pass filter of time constant T is excited with...

This question belongs to Electronics And Communications Engineering Signal Processing
Signal Processing
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A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions up to t = 0). Match the excitation signals X, V, Z with the corresponding time responses for t ≥ 0:
Match List-I with List-II and select the correct answer:
List-I List-II
X. Impulse P. $$1 - {e^{ - {t \over T}}}$$
Y. Unit step Q. $$t - T\left( {1 - {e^{ - {t \over T}}}} \right)$$
Z. Ramp R. $${e^{ - {t \over T}}}$$

Answer & Solution
Correct Answer: Option C
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