Q. The frequency response of a dynamic element shows a constant magnitude ratio at all frequencies. The element exhibits a negative phase shift at all frequencies. The absolute value of the phase shift increases linearly with frequency. The element has the transfer function

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Q. For the block diagram shown below, the characteristic equation is

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Q. The experimental response of the controlled variable y(t) for a step change of magnitude P in the manipulated variable x(t) is shown below.
The appropriate transfer function of the process is

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Q. The open loop transfer function of a process is given below. In the root locus diagram, the poles will be at

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Q. Water is entering a storage tank at a temperature T₀ and flow rate Q₀ and leaving at a flow rate Q and temperature T. There are negligible heat losses in the tank. The area of cross-section of the tank is A₀. The model that describes the dynamic variation of temperature of water in the tank with time is given as :

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Q. The transfer function of a second order system is

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Q. The Laplace transform of a sinusoidal function (eg; sin at) is represented by the curve

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Q. The transfer function of a first order system is

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Q. The transfer function of a pure dead time system with dead time τd is

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Q. Which of following error integral is considered as the best criterion in controller settings ?

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Q. Pick out the symbol for "locally mounted instrument" in instrumentation diagram.

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Q. Block diagram of a simple standard control system is shown below in the figure. Which of the following statement about the above control system is wrong ?

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Q. Water is flowing through a series of four tanks and getting heated as shown in figure. It is desired to design a cascade control scheme for controlling the temperature of water leaving the tank 4 as there is a disturbance in the temperature of a second stream entering the tank 2. Select the best place to take the secondary measurement for the second loop.

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Q. Which is the symbol for "pneumatic control valve" ?

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Q. Find the ultimate gain and frequency for a proportional controller in the case of a process having the transfer function Gp(s) = 1/(4s + 1)(2s + 1)(s + 1).

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Q. Find the Laplace transform of the following input function shown in figure.

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Q. A control system has the following transfer function. The initial value of the corresponding time function is

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Q. The root locus plot of the roots of the characteristics equation of a closed loop system having the open loop transfer function given below, will have a definite number of loci for variation of K from 0 to ∞. The number of loci is

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Q. What is the Laplace transform of sin t ?

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Q. For the time domain function f(t) = t, the Laplace transform of following equation is given by

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