Q. A piezoelectric transducer with sensitivity of 30 mV/kPa is intended to be used in the range of 0 kPa to 100 kPa. The readout circuit has a peak noise amplitude of 0.3 mV and measured signals over the full pressure range are encoded with 10 bits. The smallest pressure that produces a non-zero ...

Q. In the circuit below, the light dependent resistor (LDR) receives light from the LED. The LDR has resistances of 5 k W and 500 W under dark and illuminated conditions, respectively. The LED is OFF at time 𝑡 < 0. At time t = 0 s, the switch S1 is closed for 1 ms and then kept open thereafter. ...

Q. In the circuit shown below, assume that the comparators are ideal and all components have zero propagation delay. In one period of the input signal 𝑉𝑖𝑛 = 6 sin(𝜔𝑡), the fraction of the time for which the output OUT is in logic state HIGH is Sol: The output represents X-NOR gate. ...

Q. A voltage amplifier is constructed using enhancement mode MOSFETs labeled M1, M2, M3 and M4 in the figure below. M1, M2 and M4 are n-channel MOSFETs and M3 is a p-channel MOSFET. All MOSFETs operate in saturation mode and channel length modulation can be ignored. The low frequency, small signal ...

Q. The forward path transfer function L(s) of the control system shown in Figure (a) has the asymptotic Bode plot shown in Figure (b). If the disturbance d (t) is given by d(t) = 0.1sin(wt) where w = 5 rad s , the steady-state amplitude of the output y(t) is Sol: as r = 0 y = - y ...

Q. A complex function 𝑓(𝑧) = 𝑢(𝑥, 𝑦) + 𝑖 𝑣(𝑥, 𝑦) and its complex conjugate 𝑓∗(𝑧) = 𝑢(𝑥, 𝑦) − 𝑖 𝑣(𝑥, 𝑦) are both analytic in the entire complex plane, where 𝑧 = 𝑥 + 𝑖 𝑦 and 𝑖 = √−1 . The function 𝑓 is then given by Sol: f(z) = u(x, y) + i v(x, y) f*(z) = u (x, y) - i v(x, y) f(z) is ...

Q. The function 𝑝(𝑥) is given by 𝑝(𝑥) = 𝐴/𝑥𝜇 where 𝐴 and 𝜇 are constants with 𝜇 > 1 and 1 ≤ 𝑥 < ∞ and 𝑝(𝑥) = 0 for −∞ < 𝑥 < 1. For 𝑝(𝑥) to be a probability density function, the value of 𝐴 should be equal to Sol:

Q. The curve y = f (x) is such that the tangent to the curve at every point (𝑥, 𝑦) has a 𝑌-axis intercept 𝑐, given by 𝑐 = −𝑦. Then, f (x) is proportional to (A) x-1 (B) x2 (C) x3 (D) x4 Ans: x2 Sol: Let the equation of tangent is, y = mx + c

Q. A signal cos(2p fmt) modulates a carrier cos(2p fct) using the double-sideband-with-carrier (DSBWC) scheme to yield a modulated signal cos(2p fct) + 0.3cos(2p fmt) cos(2p fct) . The modulation index is___________.(Answer should be rounded off to one decimal place)     . Sol: The standard ...

Q. A pitot-static tube is used to estimate the velocity of an incompressible fluid of density 1 kg/m3. If the pressure difference measured by the tube is 200 N/m2, the velocity of the fluid, assuming the pitot-tube coefficient to be 1.0, is                   m/s. Sol: Given that, density = ...

Q. The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1V and standard deviation of 0.12 V while current measurements have a mean value of 1 mA with standard deviation of 0.05 mA. Assuming that the errors in voltage and current ...

Q. The figure below shows the 𝑖𝑡ℎ full-adder block of a binary adder circuit. Ci is the input carry and Ci+1 is the output carry of the circuit. Assume that each logic gate has a delay of 2 nanosecond, with no additional time delay due to the interconnecting wires. If the inputs Ai , Bi are ...