GATE Electrical Engineering (EE) Question Papers 2015

GATE Electrical Engineering (EE) Previous Year Question Paper 2015

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GATE Electrical Engineering (EE) Question Papers 2015

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GATE Electrical Engineering (EE) Question Paper 2015 | Download Free PDF:

1. If a continuous function 𝑓𝑓(𝑥𝑥) does not have a root in the interval [𝑎𝑎, 𝑏𝑏], then which one of the
following statements is TRUE?

(A) 𝑓𝑓(𝑎𝑎) ⋅ 𝑓𝑓(𝑏𝑏) = 0
(B) 𝑓𝑓(𝑎𝑎) ⋅ 𝑓𝑓(𝑏𝑏) < 0
(C) 𝑓𝑓(𝑎𝑎) ⋅ 𝑓𝑓(𝑏𝑏) > 0
(D) 𝑓𝑓(𝑎𝑎)/𝑓𝑓(𝑏𝑏) ≤ 0

2. Of the four characteristics given below, which are the major requirements for an instrumentation
amplifier?

P. High common mode rejection ratio
Q. High input impedance
R. High linearity
S. High output impedance

(A) P, Q and R only
(B) P and R only
(C) P, Q and S only
(D) Q, R and S only

3. If the sum of the diagonal elements of a 2 × 2 matrix is −6, then the maximum possible value of determinant of the matrix is ________.

4. Base load power plants are

P: wind farms.
Q: run-of-river plants.
R: nuclear power plants.
S: diesel power plants.

(A) P, Q and S only
(B) P, R and S only
(C) P, Q and R only
(D) Q and R only

5. A separately excited DC generator has an armature resistance of 0.1𝛺𝛺 and negligible armature inductance. At rated field current and rated rotor speed, its open-circuit voltage is 200 V. When this generator is operated at half the rated speed, with half the rated field current, an uncharged 1000 µF capacitor is suddenly connected across the armature terminals. Assume that the speed remains unchanged during the transient. At what time (in microsecond) after the capacitor is connected will the voltage across it reach 25 V?