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MCQ Practice Test & Solutions: Test: Transfer Function - 2 (10 Questions)

You can prepare effectively for Electrical Engineering (EE) GATE Electrical Engineering (EE) Mock Test Series 2027 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Transfer Function - 2". These 10 questions have been designed by the experts with the latest curriculum of Electrical Engineering (EE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: Transfer Function - 2 - Question 1

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

Detailed Solution: 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.

Non-Minimum Phase Systems – Emma Benjaminson – Mechanical Engineering Graduate Student

Test: Transfer Function - 2 - Question 2

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

Detailed Solution: 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: 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: 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: 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: 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: 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: 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: 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: 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).

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