GPSC Deputy Executive Engineer (Electrical) Paper 2024 with Answers

The current through an element is shown in Fig. Q1. Determine the total charge that passed through the element from t = 0 s to t = 3 s.

The dynamic behaviour of a series RLC circuit is described by:
d^2v_c/dt^2 + dv_c/dt + v_c = V_su(t)
where v_c is the capacitor voltage and V_s is the DC supply voltage. Find the nature of damping in the circuit.

The voltage and current through a circuit element are:
v(t) = 628 sin(314t + 45°) V
i(t) = 10 sin(314t − 45°) A
Identify the circuit element and determine its value.

Calculate the power dissipated in the 8 Ω resistor in the circuit shown in Fig. Q4.

Obtain the voltage v in the branch shown in Fig. Q6 for i_2 = −2 A.

An LTI system has a unit step response y(t) = (2 − e^−t)u(t). What is the transfer function of this system?

Which of the following condition should be satisfied for ensuring stability of an LTI system?

Read the following statements in the context of negative feedback system.
Statement 1: Negative feedback always makes the overall system response stable.
Statement 2: Negative feedback system may improve the system’s robustness towards parametric uncertainties.
Choose the correct option from the following:

Read the following statements in the context of a PI controller used to control a first order LTI system.
Statement 1: The order of overall closed loop system becomes higher than the open loop system.
Statement 2: Increasing integral gain makes the overall system to have higher damping.
Choose the correct options from the following:

Read the following statements:
Statement 1: A system is said to be completely controllable if it is possible to transfer the system state from an initial state X(t_0) to any desired state X(t) in a specified finite time by a control vector u(t).
Statement 2: A system is said to be completely observable, if every state X(t_0) can be completely identified by measurement of the outputs y(t) over the time interval 0 ≤ t ≤ ∞.
Choose the correct options from the following:

A certain system has a state space model as
[Ẋ_1 ; Ẋ_2] = [−2 −3 ; 4 2][X_1 ; X_2] + [3 ; 5]U
Y = [1 1][X_1 ; X_2], D = 0
What will be the transfer function of this system?

In a bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a 4^th order system having two zeros in left half of s-plane?

If the gain of an open-loop system is doubled, then the gain margin

Given the Laplace transform of a signal as Y(s) = 6e^−2s/(s + 4), what will be the initial value in time domain y(0)?

Consider the following circuit shown in Fig. Q38 and read the following statements.
Statement 1:The current through the capacitor can be obtained by using only source transformation without the use of superposition theorem.
Statement 2:The current through the capacitor can be obtained by using superposition theorem. Fig. Q38Choose the correct option from the following:

Consider the circuit shown in Fig. Q46. The switch is initially closed for a long time and opens at t = 0s. What is the value of R1 and R2, if current i(t) = 2.5 + 1.5e– 4t A for t > 0s? Fig. Q46

AC source of 110 Vrms, 60 Hz supplies an ideal single-phase phase-controlled half-wave rectifier that charges a battery. Assume the battery is modelled using a voltage source of 100 V with a series resistance of 2Ω Choose the correct option. Statement-1: Minimum value of control firing angle is α = 40° (approx.) Statement-2: For firing angle, α = 60°, the battery current start falling from its peak value after 30° which is measured from the angle at which current starts rising.

In power electronics circuit, commutation is the process of

Choose correct option about the Smart Building Energy Automation (SBEA). Statement-1: It is based on development of complete building energy management system excluding battery management system. Statement-2: It manages and controls multiple-connected battery packs. It monitors the battery quantities SOC–SOH–DOD.

A room is 120 feet by 60 feet with 16 feet ceiling. A luminaire is suspended 4 feet below the ceiling and the work plane is 4 feet above the floor. The value of room cavity ratio (RCR) is

Choose the correct option. Statement-1: In parallel MTDC system, the valve-voltage rating is related to the power rating. Statement-2: In series MTDC system, the valve-current rating is related to the power rating.

The power flow control strategy that is typically used in Series MTDC systems is

Choose the correct option. Statement-1: Voltage instability is more severe at the voltage setting terminal (VST) compared to other terminals irrespective of whether it is rectifier or inverter in HVDC system. Statement-2: Constant AC voltage control at VST improves voltage stability at all terminal including VST without any coordination.

As per National Building Code (NBC 2016) the Refuge Area is defined as an area within the building for

A piece of wood is described by z = 0, 30° < ϕ < 60°. Given the following statementsStatement 1:The piece of wood includes neither the x-axis nor the y-axisStatement 2:The piece of wood is infinitely longChoose the correct option for the above statements

When we say that the electrostatic field is conservative, we do not mean that

For a static magnetic field, the following statements are givenStatement 1:It is solenoidal.
Statement 2:It is conservative.
Choose the correct option for the above statements

Given the following statements:
Statement 1:A periodic signal cannot be anticausal.
Statement 2:An energy signal must be of finite duration.
Choose the correct option for the above statements

Out of the following systems with input x(t) and output y(t), identify the linear system.

Consider following statements: Assertion: DC series motors are suitable for electric locomotives. Reason: DC series motors provide high starting torque. Of these statements:

Consider the following statements: Assertion: Single-phase induction motor is not self-starting. Reason: Net rotating magnetic field produced by single-phase winding at standstill is zero. Of these statements:

Consider the following statements: Assertion: The no-load current of an induction motor is usually more than that of a transformer of similar rating. Reason: An induction motor can be considered as a generalized transformer. Of these statements:

Consider following statements: Assertion: When a line-to-line (L-L) fault takes place at the terminals of an open-circuited generator, the phase voltages are sometimes indeterminate though line voltages are always determinable. Reason: During L-L fault, a zero-sequence voltage is always indeterminate. Of these statements: