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GATE EE 2018 Question Paper (10-Feb-2018) (Shift 2)

Medium 65 Questions 180 min 100 marks

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Question No: 16Difficulty: mediumMarks: 1mcq
Consider a lossy transmission line with V ₁and V ₂as the sending and receiving end voltages, respectively. Z and X are the series impedance and reactance of the line, respectively. The steady-state stability limit for the transmission line will be
Question No: 17Difficulty: mediumMarks: 1mcq
The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph is
Question No: 18Difficulty: mediumMarks: 1mcq
In the figure, the voltages are v₁(t) = 100 cos (ωt), v₂(t) = 100 cos (ωt + π/18) and v₃(t) = 100 cos (ωt + π/36). The circuit is in sinusoidal steady state, and R << ωL. P₁, P₂ and P₃ are the average power outputs. Which one of the following statements is true?

image
Question No: 19Difficulty: mediumMarks: 2mcq
Match the transfer functions of the second-order systems with the nature of the systems

given below.
Transfer functionsNature of system
P: Q: R: I: Overdamped II: Critically damped III: Underdamped
Question No: 20Difficulty: mediumMarks: 2mcq
A positive charge of 1 nC is placed at (0, 0, 0.2) where all dimensions are in metres. Consider the x – y plane to be a conducting ground plane. Take F/M. The z component of the E field at (0, 0, 0.1) is closest to

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