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.

Electrical Machines: A 4-pole, $50\text{ Hz}$ 3-phase induction motor operates at a slip of $4\%$ ($s = 0.04$) in 'Network Analysis: KCL, KVL, Thevenin, Norton, Superposition and Maximum Power Transfer Theorems'. What is the actual rotor speed in rpm?

(A)

$1440\text{ rpm}$ ($N_s = \frac{120 \times 50}{4} = 1500\text{ rpm}, N_r = 1500(1 - 0.04) = 1440$) (Network Analysis: KCL, KVL, Thevenin, Norton, Superposition and Maximum Power Transfer Theorems)

(B)

$1500\text{{ rpm}}$ (Synchronous speed)

(C)

$1400\text{{ rpm}}$

(D)

$1480\text{{ rpm}}$

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Q2.

Signals & Systems: What is the Laplace transform of the unit step function $u(t)$ and its Region of Convergence (ROC) in 'Network Analysis: KCL, KVL, Thevenin, Norton, Superposition and Maximum Power Transfer Theorems'?

(A)

$\frac{1}{s}$ with $\text{Re}(s) > 0$ (Network Analysis: KCL, KVL, Thevenin, Norton, Superposition and Maximum Power Transfer Theorems)

(B)

$\frac{{1}}{{s^2}}$ with $\text{{Re}}(s) > 0$

(C)

$1$ for all $s$

(D)

$\frac{{1}}{{s+1}}$

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