UPSC Electrical Engineering 2024

(a) Find the voltage on points A and B of the given circuit : (10 marks) (b) Determine the Z-transform of x[n] = n(1/2)ⁿ⁺² u[n+2]. Specify the properties used. (10 marks) (c) In t…

(a) Draw the circuit diagram, function table, logic symbol and switch model for a CMOS gate (using six transistors) with two inputs A and B and an output Z, such that Z = 0 if A =…

(a) Determine the time signal that corresponds to the following bilateral Laplace transform and the ROCs given below by using the method of partial fractions: X(s) = (4s² + 8s + 1…

(a) In the circuit diagram given here, load resistance R_L is to be set for maximum power transfer. Draw Thevenin equivalent circuit across ab and calculate the value of R_L for m…

(a) A uniform plane wave travels in vacuum along +y direction. The electric field of the wave at some instant is given as E⃗ = 4x̂ + 3ẑ. Find the vector magnetic field H⃗. (Given…

(a) (i) An AM signal s(t) = A_c[1 + kₐ m(t)]cos(2πf_c t) is applied to the system shown in the figure. Show that the message signal m(t) can be obtained from the square-rooter out…

(a) (i) Draw the neat and properly labelled output voltage waveform of a three-phase, phase-controlled rectifier having firing angle α. Also derive the relationship for average ou…

(a) In the figure given below, region 1 is the side of the plane y+z=1 containing the origin and in this region, μᵣ₁ = 5. In region 2, μᵣ₂ = 7. It is given that B⃗₁ = 3·0a⃗ₓ + 1·0…

(a) What are the limitations of (i) Proportional (P), (ii) Integral (I), (iii) Derivative (D), and (iv) PID Controllers? What is the application of positive feedback control syste…

(a) The open-loop transfer function of a feedback control system incorporating a dead time element is given by: G(s) = (Ke^(-Ts))/(s(s+1)) where K > 0 and T > 0 are variable scala…

(a) An underdamped second order system having a transfer function of the form M(s) = (Kωₙ²)/(s² + 2ξωₙ s + ωₙ²) has a frequency response plot as shown in the figure. Compute the s…

(a) The capacitance of a piezoelectric transducer is 2000 pF and charge sensitivity is 30 × 10⁻³ C/m. Assume the capacitance of the connecting cable as 150 pF, when the oscillosco…

(a) The block diagram of a position control system is shown in the figure. Determine the sensitivity of the closed loop transfer function T(s) with respect to G(s) and H(s) for 1…

(a) Calculate the power loss in the transmission system given in the following figure. The numerical values of transmission system are: I₁ = 0·75 ∠0° PU, I₂ = 0·8 ∠0° PU, V₃ = 1·2…

(a) Calculate the real and reactive power at sending end of a transmission line while delivering 10 MVA load at 0·85 lagging power factor at receiving end of line. The line parame…

(a) Two sources M₁ and M₂ emit messages x₁, x₂, x₃ and y₁, y₂, y₃ with the joint probability P(X,Y) as shown below in the matrix form. P(X, Y) → Determine H(X), H(Y), H(X/Y) and H…