The transfer function of a system is given by, {V_{0} (s) }/{V_{i} (s) } = \frac{1−s}{1 + s} Let the output of the system be v_{0} (t) = V_{m} \sin ⁡ (\omega t + \phi ) for the input, v_{i} (t) = V_{m} \sin ⁡ (\omega t). Then the minimum and maximum values of ϕ (in radians) are respectively

−\frac{\pi }{2}\:and\frac{\pi }{2}

GATE Electrical Engineering (EE) 2017 Shift 1 Solved Paper

Question : 16 of 65

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The transfer function of a system is given by,

\;{V_{0}\;(s)\;}/{V_{i} (s) } = \;{1−s}/{1\;+\;s}

Let the output of the system be

v_{0} (t) = V_{m} sin \;⁡ (ω t + φ )

for the input,

v_{i} (t) = V_{m} sin \;⁡ (ω t)

. Then the minimum and maximum values of ϕ (in radians) are respectively

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