GATE 2022 Rapid Revision Quiz 18

The minimized expression for the given K-map is

If

Then sum of Eigen value of

(Up to two decimal)

For the clipping circuit shown in the figure, the input varies from –12 to 15 V. The maximum slope of the transfer characteristics [Assume diodes are ideal] _______

Consider the following circuit. The switch is moved from position (1) to (2) at t = 0. Voltage across the capacitor V_C(t) for t ≥ 0 is

If open loop control system of a unity feedback control system is

the value of gain K for the damping ratio ξ to be 0.707, by taking the dominant poles is ________

In the region of free space where and the electric field intensity is given as What is the positive of K so that the total energy stored is 1(upto one decimal)

Consider the two LTI system connected as shown below

If the impulse response of the two systems are given as h₁(t) = (t) and h₂(t)

= e^–2t u(t).

The input to the system is x(t) = e^–3t u(t),

Then the output y(t) of the system at t = 2 sec will be