GATE EE 2014 Question Paper (02-Mar-2014) (Shift 1)

Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are 380 μH and 240 μH. Their mutual inductance in μH is ______

The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At t = 0+, the switch is moved to position ‘2’ Assuming |V₀₂| > |V₀₁|, the voltage V${}_C$ (t) across capacitor is

A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is place symmetrically with respect to the plates.



If the potential difference between one of the plates and the nearest surface of the dielectric interface is 2 Volts, then the ratio ε₁ : ε₂ is

Consider an LTI system with transfer function

$H\left(s\right)=\frac{1}{s\left(s+4\right)}$

If the input to the system is cos(3t) and the steady output is Asin (3t + α), then the value of A is

Consider an LTI system with impulse response h(t) = e${}^{-5t}$ u(t). If the output of the system is y(t) = e${}^{-3t}$ u(t) – e${}^{-5t}$ u(t) then the input, x(t), is given by