GATE 2022 Toppers Quiz 17

The state variable representation of a plant is given by:

X = AX + BU

Y = CX

Where X is the state, U is the input and Y is the output Assuming zero initial conditions the impulse response of the plant is given by:

Let μ=10^-5H/m, ϵ = 4 ×10^-9F/m, σ =0 and ρ_V = 0. Find K so that D = 6a_x – 2a_y + 2za_z nC/m² and H = kxa_x – 10ya_y - 25 za_z A/m satisfies Maxwell’s equations.

A Si p-n junction diode of length (L) has doping profile shown below

If the applied reverse bias voltage V_R = 10 V, the space charge region width is ______ μm. (Assume n_i = 1.5 × 10¹⁰/cm³. V_T = 0.0259 V)

For the circuit in Figure find V₀(t) for t > 0

Determine the time necessary for the capacitor voltage to decay capacitor voltage to decay to are one third of its value at t = 0

A sequential circuit with asynchronous clear inputs is shown below with clock frequency . Let initially, then the frequency of the waveform at is _____ KHz.