GATE Engineering - Electrical & Electronics Engineering (EE/ECE)

Network Theorems, AC/DC Machines, Control & Signals question bank (Circuits, Machines, Control Systems & Signal Processing)

Practice 72 free GATE Engineering - Electrical & Electronics Engineering (EE/ECE) Circuits, Machines, Control Systems & Signal Processing - Network Theorems, AC/DC Machines, Control & Signals questions with answers and step-by-step solutions.

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Q1.

Digital Electronics: How many 2-to-1 Multiplexers (without additional logic gates) are minimum required to implement a 2-input XOR gate in 'Network Analysis: KCL, KVL, Thevenin, Norton, Superposition and Maximum Power Transfer Theorems'?

(A)

2 Multiplexers ($A \oplus B = B \cdot \bar{A} + \bar{B} \cdot A$) (Network Analysis: KCL, KVL, Thevenin, Norton, Superposition and Maximum Power Transfer Theorems)

(B)

1 Multiplexer

(C)

3 Multiplexers

(D)

4 Multiplexers

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Q2.

Control Systems (Frequency Response): The open-loop transfer function of a system in 'Network Analysis: KCL, KVL, Thevenin, Norton, Superposition and Maximum Power Transfer Theorems' is $G(s)H(s) = \frac{1}{s(s+1)(s+2)}$. What is the Phase Crossover Frequency $\omega_{pc}$?

(A)

$\sqrt{2}\text{ rad/s}$ ($\angle G(j\omega)H(j\omega) = -90^\circ - \tan^{-1}(\omega) - \tan^{-1}(\omega/2) = -180^\circ \implies \omega^2 = 2$) (Network Analysis: KCL, KVL, Thevenin, Norton, Superposition and Maximum Power Transfer Theorems)

(B)

$2\text{{ rad/s}}$

(C)

$1\text{{ rad/s}}$

(D)

$\sqrt{{3}}\text{{ rad/s}}$

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