GATE 2022 Rapid Revision Quiz 17

In the circuit the switch is closed at t = 0⁺. When the 2H inductor has initial current I_o = 10A . The voltage across the resistor for t > 0 is

Consider the interconnection of three LTI systems as shown in below figure.

Assume, h₁[n] = u[n + 2], h₂[n] = δ[n – 2]

h₃[n] = u[n] – u[n – 2]

Then the impulse response of overall system at n = 2 is_______.

In a microwave measurement with slotted rectangular waveguides, the distance between successive minima is found to be 2.5 cm. If the measurement has been carried out at a frequency of 10 GHz and the guide operates in TE₁₀ mode, the cutoff frequency f_c10 for the guide is?

A system is described by the mathematical equation . The unit step response given by

In the circuit of figure the transistor are V_TH = +1V and K_n’=36 μA/ V². If I_D = 0.5mA, V₁ = 4V and V₂ = 2V. Then the width to length ratios required in each transistor are________

Consider a given function f(x) as  is continuous for 0 ≤ x < ∞. Choose the correct octet pairs for the values of (a, b)?

Consider a diagram as shown in figure below for an automobile alarm circuit used to detect undesirable conditions.

The three switches are used to indicate the status of the door by the driver’s seat, the ignition, and the headlights, respectively. Implement and design a combinational logic circuit with these three switches as inputs so that the alarm will be activated whenever either of the below following conditions exists:

(i) The headlights are on while the ignition is off.

(ii) The door is open, while the ignition is on.

Excess carriers have been generated uniformly in a semiconductor. The forcing function generating the excess carrier tarns off at time t = 0. If the excess carrier lifetime is _no = 10^–6 sec. The excess carrier concentration at t = 5μ s is 4.3 × 10¹²/cm³ , then what is the excess carrier concentration at time t = 0 sec?