Test: Transfer Function - 2

# Test: Transfer Function - 2 - Electrical Engineering (EE)

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## 10 Questions MCQ Test GATE Electrical Engineering (EE) 2024 Mock Test Series - Test: Transfer Function - 2

Test: Transfer Function - 2 for Electrical Engineering (EE) 2023 is part of GATE Electrical Engineering (EE) 2024 Mock Test Series preparation. The Test: Transfer Function - 2 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Transfer Function - 2 MCQs are made for Electrical Engineering (EE) 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Transfer Function - 2 below.
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Test: Transfer Function - 2 - Question 1

### Non-minimum phase transfer function is defined as the transfer function

Detailed Solution for Test: Transfer Function - 2 - Question 1

The non-minimum phase transfer function is defined as the transfer function which has zeros (or) poles in right side of s-plane.

Test: Transfer Function - 2 - Question 2

### The type and order of the system described by the open loop transfer function   are respectively

Detailed Solution for Test: Transfer Function - 2 - Question 2

Type of System: The Type of system denotes the no. of poles at the origin of the open loop transfer function G(s)H(s).

Hence, there is no open loop pole at origin. Hence, type of system = 0.

Order of a System: The order of a control system is determined by the highest power of 's' in the denominator of its transfer function.

Hence, highest power of s of the characteristic equation 1+ G(s) = 0 will be 2.
Hence, order of given System = 2.

Test: Transfer Function - 2 - Question 3

### Assertion (A): If the number of zeros are less than the number of poles (i.e. Z < P), we say that there are zeros at infinity and the order of such zeros is P-Z Reason (R): The value of the transfer function becomes zero for s tends to zero.

Detailed Solution for Test: Transfer Function - 2 - Question 3

For Z < P,

∴ Here, number of zeros = 1 and no. of poles = 2
∴ P - Z = 1
When s →∞, transfer function becomes zero. Thus, there is one zero (P - Z = 1) at infinity. Thus, assertion is true.
Since value of transfer function becomes zero as s →∞ therefore, reason is false.

Test: Transfer Function - 2 - Question 4

The transfer function ofthe network shown below is

Detailed Solution for Test: Transfer Function - 2 - Question 4

Let i be the current in the given circuit.

Test: Transfer Function - 2 - Question 5

The principle of homogeneity and superposition are applied to

Detailed Solution for Test: Transfer Function - 2 - Question 5

Superposition theorem states that for two signals additivity and homogeneity property must be satisfied and that is applicable for the LTI systems.

Test: Transfer Function - 2 - Question 6

​The differential equation of a control system having input x(t) and output y(t) is given as

The output response of the system for unit step input is given by

Detailed Solution for Test: Transfer Function - 2 - Question 6

Given differential equation is

Test: Transfer Function - 2 - Question 7

The step response of a system is given by
c(t) = 1 + 0.25 e-50t - 1.25e-10t
The steady state gain of the transfer function in time constant form will be

Detailed Solution for Test: Transfer Function - 2 - Question 7

Given, c(t) = 1 + 0.25 e-50t - 1.25e-10t

Thus,C(s)/R(s) is in time constant form having steady state gain = 1.

Test: Transfer Function - 2 - Question 8

The poles and zeros of the transfer function   for the network shown below are located at

Detailed Solution for Test: Transfer Function - 2 - Question 8

For given network, total input impedance is

Test: Transfer Function - 2 - Question 9

The pole-zero configuration of a transfer function is shown below:

If the value of the transfer function at s = 1 is 3.2, the gain factor K is

Detailed Solution for Test: Transfer Function - 2 - Question 9

From given pole-zero plot, transfer function is

So, gain factor K =12

Test: Transfer Function - 2 - Question 10

The type of a system denotes the number of

Detailed Solution for Test: Transfer Function - 2 - Question 10

The type of a system denotes the no. of poles at the origin of the open loop transfer function G(s)H(s).

## GATE Electrical Engineering (EE) 2024 Mock Test Series

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## GATE Electrical Engineering (EE) 2024 Mock Test Series

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