UPSC Electrical Engineering 2026

(a) For the circuit shown below, if the power loss in 1 Ω resistor is 16 W, find the value of k in the dependent source using nodal method : (10 marks) (b) Consider the continuous…

(a) (i) Find the values of R and C in the figure shown below, so that V_b = 3V_a, also V̄_b and V̄_a are in quadrature. Find also the phase relation between V and V_b, and V_a and…

(a) (i) For the circuit shown below, steady state is achieved with switch K open. At t = 0, switch K is closed. Find the time expression of current in R_L. Also find its initial a…

(a) (i) The continuous-time signal x(t) = cos(20πt + π/4) is ideally sampled at a rate of 30 samples per second. The resulting sampled signal is then passed through a filter whose…

(a) For the circuit given in the figure below, the input voltage signal is given by V_in = 1·5 sin 62·8t + 0·5 sin 188·4t volts. Determine the output voltage expression for each i…

(a) Design a MOD-6 synchronous DOWN counter using J-K flip-flops. (20 marks) (b) A three-phase, star-connected, 415 V, 50 Hz, cage-type induction motor takes a starting current eq…

(a) Design a Programmable Logic Array (PLA) for a combinational logic circuit that computes the square of 3-bit binary numbers. Determine the minimum number of product terms requi…

(a) A 6·6 kV, three-phase, star-connected, cylindrical-rotor alternator develops rated voltage on open circuit with a field current of 5 A. With its armature short-circuited throu…

(a) A unity feedback system has open loop transfer function G(s) = \frac{K}{s(s+q)}. Evaluate the value of K and q so that settling time and peak overshoot will be 6 seconds and 2…

(a) Determine the response of the system shown in the following figure when it is excited by a unit step input. (20 marks) (b) (i) In the 8085 microprocessor, explain the function…

(a) (i) A system has a unit response as c(t) = 1 − e^(−0·5t). Evaluate its unit impulse and unit ramp response, assuming zero initial conditions. (10 marks) (ii) A linear time-inv…

(a) Design a PI controller so that a unity feedback system having open loop transfer function G(s)H(s) = 10 / ((s + 2) (s + 3)) will have the damping ratio of 0·6 and natural freq…

(a) Write the state space equation for the following circuit. [Circuit diagram: voltage source V(t), series resistance R and inductance L, current i(t), and capacitor C] (10 marks…

(a) Determine the efficiency of a 400 km long transmission line delivering 100 MW load at 240 kV, 0·85 lagging p.f. at the receiving end. The series impedance and shunt admittance…

(a) A 3-phase line is terminated by a star-connected resistive load of 800 ohm per phase. The line conductors are equilaterally spaced 2·0 m apart and have a diameter of 2 cm. The…

(a) A hollow cylinder made of insulating material surrounded by a thin metal sheath has inner and outer diameters of 4 cm and 8 cm respectively. The relative permittivity of the c…