GATE 2017-2018 :: GATE Instrumentation
- If the A-matrix of the state space model of a SISO linear time invariant system is rank deficient, the transfer function of the system must have
- Two systems with impulse responses h1 (t) and h2 (t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
- The complex function tanh (s) is analytic over a region of the imaginary axis of the complex s-plane if the following is TRUE everywhere in the region for all integers n
- For a vector E, which one of the following statements is NOT TRUE?
- For a periodic signal v(t) = 30 sin100t +10cos300t + 6 sin(500t + π/4), the fundamental frequency in rad/s is
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In the transistor circuit as shown below, the value of resistance RE in kΩ is approximately,
- A source vs (t) = V cos 100 πt has an internal impedance of 4 + j3 Ω. If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in Ω should be
- Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?
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The operational amplifier shown in the circuit below has a slew rate of 0.8 Volts /μ s. The input signal is 0.25 sin (wt) . The maximum frequency of input in kHz for which there is no distortion in the output is
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Assuming zero initial condition, the response y (t) of the system given below to a unit step input u (t) is
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