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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,Y, Z with the corresponding time
responses for t 0:
X: Impulse                                   P: 1 – e-t/T
Y: Unit step                                  Q: t – T(1 – e-t/T)
Z: Ramp                                       R: e-t/T
  • a)
    X →R, Y→Q,Z→P
  • b)
    X →Q,Y→P,Z→R
  • c)
    X →R, Y→P,Z→Q
  • d)
    X →P, Y→R,Z→Q
Correct answer is option 'C'. Can you explain this answer?
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A first-order low-pass filter of time constant T is excited with different input signals (with zeroinitial conditions up to t = 0 ). Match the excitation signals X,Y, Z with the corresponding timeresponses for t 0:X: Impulse P: 1 – e-t/TY: Unit step Q: t – T(1 – e-t/T)Z: Ramp R: e-t/Ta)X →R, Y→Q,Z→Pb)X →Q,Y→P,Z→Rc)X →R, Y→P,Z→Qd)X →P, Y→R,Z→QCorrect answer is option 'C'. Can you explain this answer?
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A first-order low-pass filter of time constant T is excited with different input signals (with zeroinitial conditions up to t = 0 ). Match the excitation signals X,Y, Z with the corresponding timeresponses for t 0:X: Impulse P: 1 – e-t/TY: Unit step Q: t – T(1 – e-t/T)Z: Ramp R: e-t/Ta)X →R, Y→Q,Z→Pb)X →Q,Y→P,Z→Rc)X →R, Y→P,Z→Qd)X →P, Y→R,Z→QCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A first-order low-pass filter of time constant T is excited with different input signals (with zeroinitial conditions up to t = 0 ). Match the excitation signals X,Y, Z with the corresponding timeresponses for t 0:X: Impulse P: 1 – e-t/TY: Unit step Q: t – T(1 – e-t/T)Z: Ramp R: e-t/Ta)X →R, Y→Q,Z→Pb)X →Q,Y→P,Z→Rc)X →R, Y→P,Z→Qd)X →P, Y→R,Z→QCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A first-order low-pass filter of time constant T is excited with different input signals (with zeroinitial conditions up to t = 0 ). Match the excitation signals X,Y, Z with the corresponding timeresponses for t 0:X: Impulse P: 1 – e-t/TY: Unit step Q: t – T(1 – e-t/T)Z: Ramp R: e-t/Ta)X →R, Y→Q,Z→Pb)X →Q,Y→P,Z→Rc)X →R, Y→P,Z→Qd)X →P, Y→R,Z→QCorrect answer is option 'C'. Can you explain this answer?.
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