GATE 2022 Rapid Revision Quiz 7

Assuming that transistors are identical and have a threshold voltage of 1V, the transistor M₁ and M₂ are respectively in ______(both are ON).

The open loop transfer function of a control system is G(s) H(s) = which of the following values can be taken by the gain constant ‘k’ such that the system is STABLE?

A 10 bit ADC with full state output voltage of 10.24 volt is designed to have a ± (LSB/2) accuracy. If the ADC is calibrated at 25°C and operating temperature ranges from 0 to 50°C, then maximum net temperature coefficient of ADC should not exceed

In an n-turn coil, the flux through each turn is (t³ – 4t) mWb. The magnitude of the induced e.m.f. in the coil at t = 5s is 7.1 V. the number of turns in the coil is

The waveform used in a BFSK modulation scheme are follows.

S₀(t) = cos (2πf_ot): 0 ≤ t ≤ T_b⇒ for log i_c = 0

S₁(t) = cos (2πf₁t): 0 ≤ t ≤ T_b⇒ for log i_c = 1

The frequencies f₀ and f₁ are 1000 KHz and 1100 kHz respectively. If the signals S₀(t) and S₁(t) are said to be orthogonal to each other, then the maximum allowed bit rate of the system will be equal to ______ kbps

Consider (V₀)_max and (V₀)_min are minimum and maximum value of output voltage V₀. Find [(V0)_max + (V₀)_min] Level -2?

For an n-channel silicon MOSFET with 10 nm gate oxide thickness, the substrate sensitivity (∂V_T/∂|V_BS|) is found to be 50 mV/V at a substrate voltage |V_BS| = 2 V, where V_T is the threshold voltage of the MOSFET. Assume that, |V_BS| ≫ 2Φ_{B ,} where qΦ_B is the separation between the Fermi energy level E_F and the intrinsic level E_i in the bulk. Parameters given are

Electron charge (q) = 1.6 x 10^-19 C

Vacuum permittivity (ϵ₀) = 8.85 x 10^-12 F/m

Relative permittivity of silicon (ϵ_Si) = 12

Relative permittivity of oxide (ϵ_OX) = 4

The doping concentration of the substrate is

A 10m H inductor in parallel with resistor ‘R’ and draws the total current of 5A from a 30 V, ω = 1000 rad/sec supply. The angular frequency ‘ω’ at which circuit draws the same current from a 15V supply is ________ rad/sec.