ISRO Scientist or Engineer Electrical 2018

Instructions

For the following questions answer them individually

Question 1

For the system to be stable, in a negative feedback systems, with increase of feedback loops the range of gain (K)

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Question 2

What is the impulse response for the system indicated below?

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Question 3

The open loop transfer function of a unity feedback control system is $$G(s) = \frac{K}{(s + 2)(s + 1)(s^2 + 6s + 25)}$$. Determine the range of gain โ€˜Kโ€™ for the unity feedback control system to be stable.

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Question 4

For the step response $$C(s) = \frac{10(s - 2)}{s(s^2 + 4s + 5)}$$ find initial and final value of C(s).

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Question 5

What is the condition for the below system to be critically damped?

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Question 6

Transfer function of two compensators are:
$$C_1 = \frac{100(S + 3)}{(S + 200)}$$ $$C_2 = \frac{S + 200}{100(S + 3)}$$
Which of the following statement is correct?

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Question 7

In the system shown below, what is steady state error in unit ramp response?

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Question 8

Typical root locus diagram of a system is shown below. Find the point where the system is critically damped.

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Question 9

If a network consists of โ€˜nโ€™ number of principle nodes and โ€˜bโ€™ numbers of branches. Then, mesh analysis becomes simpler than nodal analysis if โ€˜nโ€™ is greater than

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Question 10

What is the equivalent resistance between the terminals A and B ?

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