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GATE ECE Gateece Networks Signals — practice questions

Explore 9 free Gateece Networks Signals questions in GATE ECE Electronics. Open each question or exercise to read its content, reference answers and available explanation.

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Gateece Networks Signals questions and exercises with answers

Showing questions 1–9 of 9.

For a series RLC circuit at resonance, the impedance Z seen at the source terminals equals which?Read the answer and worked solution →Kirchhoff's Current Law (KCL) is a statement of which conservation principle?Read the answer and worked solution →An LTI system is BIBO stable if and only if its impulse response h(t) satisfies which condition?Read the answer and worked solution →The Laplace transform of the unit step u(t) is which?Read the answer and worked solution →For a two-port network, the Z-parameters relate which quantities?Read the answer and worked solution →For a causal stable LTI continuous-time system, the poles of H(s) must lie strictly in which region?Read the answer and worked solution →Parseval's theorem for the continuous-time Fourier transform states which?Read the answer and worked solution →A discrete-time signal x[n] = cos(Ω₀·n) is periodic in n if and only if Ω₀/(2π) is which?Read the answer and worked solution →For a causal discrete LTI system with rational H(z), the ROC of H(z) for stability includes which contour?Read the answer and worked solution →

Worked practice questions

For a series RLC circuit at resonance, the impedance Z seen at the source terminals equals which?

  1. R only (XL = XC, reactances cancel)
  2. jωL only (purely inductive)
  3. 1/(jωC) only (purely capacitive)
  4. Zero ohms at all frequencies
Show answer and solution

Correct answer: A. R only (XL = XC, reactances cancel)

At resonance ω₀ = 1/√(LC), XL = XC so jωL + 1/(jωC) = 0. Net impedance is purely resistive R. Current is maximum, in phase with voltage.

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Kirchhoff's Current Law (KCL) is a statement of which conservation principle?

  1. Conservation of voltage around a loop
  2. Conservation of momentum at a node
  3. Conservation of magnetic flux per turn
  4. Conservation of electric charge at a node
Show answer and solution

Correct answer: D. Conservation of electric charge at a node

KCL: algebraic sum of currents entering a node = 0. Follows from charge conservation: no charge accumulates at a node in lumped-element models.

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An LTI system is BIBO stable if and only if its impulse response h(t) satisfies which condition?

  1. h(t) is periodic with bounded period
  2. h(t) is monotonically increasing
  3. h(t) has finite peak value only
  4. ∫|h(t)|dt over all t is finite
Show answer and solution

Correct answer: D. ∫|h(t)|dt over all t is finite

BIBO theorem (Oppenheim Ch.2): for any bounded input |x|≤Mx, output is bounded iff h is absolutely integrable. **Discrete analogue:** Σ|h[n]| < ∞.

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