UPSC Electrical Engineering 2023

(a) Obtain Norton equivalent circuit at terminals ab of the coupled circuit shown in the figure. Using it, find out the current passing through 5 Ω resistor connected between the…

(a) For the circuit shown in the figure, obtain the value of voltage across 0·5 Ω and 2·5 Ω resistors using nodal current analysis. (20 marks) (b) A causal discrete-time LTI syste…

(a) (i) Consider the shift register shown in the figure below, which is implemented using D flip-flops and 2 : 1 multiplexers. Complete the truth table shown as follows: | Inputs…

(a) For the circuit shown below, early voltage V_A = ∞ and β = 100. Find the reverse saturation current if: (i) the collector current of Q₁ = 0·5 mA. (ii) Q₁ is biased at the edge…

(a) A 400 V, 50 Hz, 3-phase star-connected cylindrical rotor synchronous motor has synchronous impedance of (0·5 + j 2·5) Ω per phase. It develops a maximum power of 50 kW at rate…

(a) A 200 V, 1100 rpm, dc shunt motor takes 1·5 A and runs at 1150 rpm under no load condition at rated voltage. Its armature resistance including brushes is 0·5 Ω. While running…

(a) A 400 V, 3-phase, 50 Hz, star-connected synchronous motor has per phase synchronous impedance Zₛ = (0·5 + j 3·5) Ω. It is required to operate the motor as synchronous condense…

(a) A 415 V, 4-pole, 3-phase, 50 Hz, star-connected squirrel cage induction motor has per phase parameters of r_s = 1·1 Ω, r_r = 1·3 Ω, X_m = 167 Ω, and X_ls = X_lr = 3·5 Ω, all a…

(a) The figure shows a unity feedback system with open-loop transfer function G(s) = K/((s + 1)(s + 2)). The steady-state value of the unit step response c(t) is 0·8. Determine th…

(a) The block diagram of a feedback system is shown in the figure: the forward path is G(s) = K/((s − 1)(s² + 4s + 7)) and the feedback path is H(s) = s + 4, with negative feedbac…

(a) Write the state and output equations for the system shown in the figure. Choose state variables x₁ and x₂ as shown in the figure. Check the controllability and observability o…

(a) Consider a systematic linear block code with binary elements whose parity check equations are p₁ = m₁ + m₂ + m₃ p₂ = m₂ + m₃ + m₄ p₃ = m₁ + m₃ + m₄ p₄ = m₁ + m₂ + m₄ where mᵢ…

(a) The figure shows a compensator network, where R₁ = 3 MΩ, R₂ = 1 MΩ, C = 1 μF. Vᵢ(t) and Vₒ(t) are the input voltage and output voltage respectively. [Figure: R₁ in series with…

(a) (i) A power system has two generators with the following cost curves : Generator 1 : C₁(P_g1) = 0.008 P_g1² + 8 P_g1 + 380 (thousand rupees/hour) Generator 2 : C₂(P_g2) = 0.00…

(a) A discrete memoryless source generates three independent message symbols m_1, m_2 and m_3 with probabilities 0·9, 0·08 and 0·02 respectively. (i) Design a binary variable leng…

(a) The figure shows a unity feedback system with G(s) = 2/[s(s+1)(s+2)(s+3)]. (i) Sketch the approximate polar plot of G(s). (ii) Determine the closed-loop stability of the syste…