GATE EC||NETWORK THEORY||STEADY STATE ANALYSIS||PYQS(2000-2025)

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Question 1

(MCQ || 2015 || MCQ || 1 mark)

Question 2

A 230 V_rms source supplies power to two loads connected in parallel. The first load draws 10 kW at 0.8 leading power factor and the second one draws 10 kVA at 0.8 lagging power factor. The complex power delivered by the

(MCQ || 2014 || MCQ || 1 mark)

(18 + j1.5) kVA
(18 – j1.5) kVA
(20 + j1.5) kVA
(20 – j1.5) KVA

Question 3

A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magnitude of current is half the value at resonance. If the values of L, C and R are 1H, 1F, and 1Ω, respectively, the operating angular frequency (in rad/s) is

(MCQ || 2014 || MCQ || 1 mark)

The operating frequency (ω_x), at which current leads the supply.
i.e., ω_x < ω_r
again magnitude of current is half the value at resonance.
i.e., at ω = ω_x
at ω = ω_x

i.e.,
Given R = 1Ω; L = 1H; C = 1F

By substituting R, L & C values,

let x = ω²
then
x² – 5x + 1 = 0
x = 4.79, 0.208

∵
so, ω < ω_reso
so ω = 0.456 rad/sec selected for lead network behaviour.
So, operating frequency ω_x = 0.45 rad/s

Question 4

In the magnetically coupled circuit shown in the figure, 56% of the total flux emanating from one coil links the other coil. The value of the mutual inductance (in H) is ______.