# NTA NET Electrical Engineering GATE 2018 Higher Questions and Answers Part 2

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

**(Subtopic:** **Operational Amplifiers)**

**(Sub-Subtopic:** **Ideal op-amp properties)**

The op-amp shown in the figure is ideal. The input impedance is given by

(A).

(B).

(C).

(D).

**(Topic: Signals and Systems)**

**(Subtopic:** **Linear Time Invariant and Causal systems)**

**(Sub-Subtopic:** **Eigen value)**

A continuous-time input signal x(t) is an eigenfunction of an LTI system if the output is

(A). , where k is an eigenvalue

(B). , where k is an eigenvalue and is a complex exponential signal

(C). , where is a complex exponential signal

(D). , where k is an eigenvalue and is a frequency response of the system

**(Topic: Engineering Mathematics)**

**(Subtopic:** **Linear Algebra)**

**(Sub-Subtopic:** **Eigen value)**

Consider a non-singular 2×2 square matrix A . If trace(A) = 4 and trace() = 5 , the determinant of the matrix A is (up to 1 decimal place).

**(Topic: Engineering Mathematics)**

**(Subtopic:** **Calculus)**

**(Sub-Subtopic:** **Modulus function)**

Let be a real-valued function of a real variable defined as where denotes the largest integer less than or equal to . The value of is (up to 2 decimal places).

**(Topic: Electric Circuits)**

**(Subtopic:** **Two‐port networks)**

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

In the two-port network shown, the h11 parameter (where, , when ) in ohms is (up to 2 decimal places)

**(Topic: Control Systems)**

**(Subtopic:** **Transient and Steady‐state analysis of linear time invariant systems)**

**(Sub-Subtopic:** **Steady state error)**

Consider a unity feedback system with forward transfer function given by

The steady-state error in the output of the system for a unit-step input is (up to 2 decimal places).

**(Topic: Engineering Mathematics)**

**(Subtopic:** **Numerical methods)**

**(Sub-Subtopic:** **Newton Raphson method)**

The per-unit power output of a salient-pole generator which is connected to an infinite bus, is given by the expression, 𝑃 = 1.4 sin 𝛿 + 0.15 sin 2𝛿, where 𝛿 is the load angle. Newton- Raphson method is used to calculate the value of 𝛿 for 𝑃 = 0.8 pu. If the initial guess is 30°, then its value (in degree) at the end of the first iteration is

(A) 15°

(B) 28.48°

(C) 28.74°

(D) 31.20°

**(Topic: Electric Circuits)**

**(Subtopic:** **Sinusoidal steady‐state analysis)**

**(Sub-Subtopic:** **Locus diagram)**

A DC voltage source is connected to a series L-C circuit by turning on the switch S at time t = 0 as shown in the figure. Assume . Which one of the following circular loci represents the plot of i(t) versus v(t)?

**(Topic: Electric Circuits)**

**(Subtopic:** **Sinusoidal steady‐state analysis)**

**(Sub-Subtopic:** **Net Impedance)**

The equivalent impedance for the infinite ladder circuit shown in the figure is

(A) j12 Ω

(B) –j12 Ω

(C) j13 Ω

(D) 13 Ω