# NTA NET Electrical Engineering GATE 2019 Higher Questions and Answers Part 2

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**(Topic: Control Systems)**

**(Subtopic: Routh-Hurwitz and Nyquist criteria)**

**(Sub-Subtopic: Condition for stability)**

The characteristic equation of a linear time-invariant (LTI) system is given by

The system is BIBO stable if

(A)

(B)

(C)

(D)

**(Topic: Analog and Digital Electronics)**

**(Subtopic: MOSFET)**

**(Sub-Subtopic: ON and saturation condition)**

Given, is the gate-source voltage, is the drain source voltage, and is the threshold voltage of an enhancement type NMOS transistor, the conditions for transistor to be biased in saturation are

(A). ;

(B). ;

(C). ;

(D). ;

**(Topic: Analog and Digital Electronics)**

**(Subtopic: Amplifiers)**

**(Sub-Subtopic: Output resistance with and without feedback)**

A current controlled current source (CCCS) has an input impedance of 10 and output impedance of 100k. When this CCCS is used in a negative feedback closed loop with a loop gain of 9, the closed loop output impedance is

(A) 10

(B) 100

(C) 100k

(D) 1000k

**(Topic: Electromagnetic Fields)**

**(Subtopic: Line integral)**

**(Sub-Subtopic: Gradient)**

If , the value of line integral evaluated over contour C formed by the segments ( -3,-3,2) -> (2, -3,2) -> (2,6,2) -> (2,6, -1) is _______.

**(Topic: Electric Circuits)**

**(Subtopic: KCL, KVL, Node and Mesh analysis)**

The current I flowing in the circuit shown below in amperes (round off to one decimal place) is _______.

**(Topic: Electromagnetic Fields)**

**(Subtopic: Capacitance of simple configurations)**

**(Sub-Subtopic: Capacitance of Coaxial cylindrical cable)**

A co-axial cylindrical capacitor shown in Figure (i) has dielectric with relative permittivity . When one-fourth portion of the dielectric is replaced with another dielectric of relative permittivity , as shown in Figure (ii), the capacitance is doubled. The value of is _______.

**(Topic: Electric Circuits)**

**(Subtopic: Two‐port networks)**

**(Sub-Subtopic: Y-parameters)**

The matrix of a two-bus power system having two identical parallel lines connected between them in pu is given as

The magnitude of the series reactance of each line in pu (round off up to one decimal place) is _______.

**(Topic: Engineering Mathematics)**

**(Subtopic: Linear Algebra)**

**(Sub-Subtopic: Rank)**

The rank of the matrix, , is __________.

**(Topic: Engineering Mathematics)**

**(Subtopic: Linear Algebra)**

**(Sub-Subtopic: Identity matrix property)**

Consider a 2 X 2 matrix , where and are the column vectors. Suppose , where and are the row vectors. Consider the following statements:

Statement 1: and

Statement 2: and

Which of the following options is correct?

Statement 1 is true and statement 2 is false

Statement 2 is true and statement 1 is false

Both the statements are true

Both the statements are false

**(Topic: Engineering Mathematics)**

**(Subtopic: Complex Variables)**

**(Sub-Subtopic: Cauchy’s residue theorem)**

The closed loop line integral

Evaluated counter clockwise, is

(A)

(B)

(C)

(D)