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Official PYQ · 2016

GATE EC 2016 Set 1 Q32 — Circuit Analysis

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A first-order low-pass filter of time constant TT is excited with different input signals (with zero initial conditions up to t=0t = 0). Match the excitation signals X,Y,ZX, Y, Z  with the corresponding time responses for t≥0t \geq 0:

X:ImpulseP: 1–e−t/TY:Unit stepQ: t–T(1–e−t/T) Z:RampR: e−t/T\begin{array}{ll}\text{X:Impulse}&\text{P: }1 – e^{-t/T}\\\text{Y:Unit step}&\text{Q: }t – T(1 – e^{-t/T})\text{ }\\\text{Z:Ramp}&\text{R: }e^{-t/T}\end{array} 

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Answer: C

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