GATE IN 2018 Question Paper (04-Feb-2018) (Shift 2)

A series R-C circuit is excited by a 1∠0 V sinusoidal ac voltage source. The locus diagram of the phasor current 𝐼= (x + jy) A, when C is varied, while keeping R fixed, is

The Thevenin equivalent circuit representation across terminals p-q of the circuit shown in the figure is a

A coil having an impedance of (10 + j100) Ω is connected in parallel to a variable capacitor as shown in figure. Keeping the excitation frequency unchanged, the value of the capacitor is changed so that parallel resonance occurs. The impedance across terminals p-q at resonance (in Ω) is ______.

Two periodic signals x(𝑡) and 𝑦(𝑡) have the same fundamental period of 3 seconds. Consider the signal 𝑧(𝑡) = 𝑥(−𝑡) + 𝑦(2𝑡 + 1). The fundamental period of 𝑧(𝑡) in seconds is

Consider signal x≤ft( t ) = ≤ft\{ {*20c 1,&≤ft| t | ≤ 2\\ 0,&≤ft| t | > 2 } . Let 𝛿(𝑡) denote the unit impulse (Dirac-delta) function. The value of the integral $\underset{0}{\overset{5}{\int }}2x\left(t-3\right)\delta \left(t-4\right)$ dt is