Project ForgeInstrumentation & Process Control
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GATE 2018
Hard
The decay ratio for a system with complex conjugate poles (−1/10+j2/15) and (−1/10−j2/15) is
- A7×10⁻¹
- B8×10⁻²
- 9×10⁻³
- D10×10⁻⁴
Explanation
Decay ratio=exp(−2πσ/ωd) with σ=0.1, ωd=2/15=0.1333: exp(−2π×0.75)=exp(−4.712)=9×10⁻³.
Source: GATE CH 2018 (2018)
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