TS PGECET 2026 Electrical Engineering (EE) Question Paper is available for download here. JNTU Hyderabad on behalf of Telangana Council of Higher Education (TGCHE) conducted TS PGECET 2026 EE exam on June 1 in Shift 2 from 2 PM to 4 PM. TS PGECET EE Question Paper consists of 120 questions for 120 marks to be attempted in 2 hours.
- TS PGECET EE Question Paper 2026 is divided into 2 sections- Engineering Mathematics with 10 questions and Electrical Engineering domain with 110 questions.
- Each questions carries 1 mark each and there is no negative marking for incorrect answers.
Candidates can download TS PGECET 2026 EE Question Paper with Answer Key and Solution PDF from links provided below.
TS PGECET 2026 EE Question Paper with Solution PDF
| TS PGECET EE Question Paper 2026 | Download PDF | Check Solutions |
If \(A = \begin{bmatrix} 1 & 1 & 2
2 & 5 & 4
1 & 0 & 5 \end{bmatrix}\), then the determinant of \((A^{2026} - 11A^{2025} - 9A^{2023})\) is equal to:
An Eigen value of the matrix \(\begin{bmatrix} 1 & -1 & 2
0 & 1 & 0
1 & 2 & 1 \end{bmatrix}\) is \(1\). An eigen vector corresponding to it is:
If \(z = x^2 y + e^{xy^2}\), then \((\frac{\partial^2 z}{\partial x^2} + \frac{\partial^2 z}{\partial x \partial y})\) evaluated at \((1,0)\) is:
If \(f(x) = x^3\), \(0 \le x \le 4\), \(f(x+4) = f(x)\) \(\forall x \in \mathbb{R}\) and the Fourier series of \(f(x)\) is \(f(x) = \sum_{n=0}^{\infty} (a_n \cos \frac{n\pi x}{2} + b_n \sin \frac{n\pi x}{2})\), then \(a_0 =\)
The particular integral of \((D^4 - D^3 - 9D^2 - 11D - 4)y = e^{-x}\), where \(D = \frac{d}{dx}\), is:
The solution of \(\frac{\partial^2 z}{\partial x^2} + z = 0\), satisfying \(z(0,y) = e^y\), \((\frac{\partial z}{\partial x})_{x=0} = 1\) is \(z(x,y) = \)
Let \(r = Min\{\alpha, \beta, \gamma\}\), \(R = Max\{\alpha, \beta, \gamma\}\), \(f(z) = \frac{z}{(z-\alpha)(z-\beta)(z-\gamma)}\). \(I_1 = \oint_{C_1} f(z)dz\) and \(I_2 = \oint_{C_2} f(z)dz\), where \(C_1 : |z| < r\) and \(C_2 : |z| = R+1\), then \(I_1 + I_2 = \)
The inverse Laplace transform of \(\frac{s+3}{s^2 - 4s + 13}\) is:
Choose a possible probability density function from the given functions:
The iterative formula for finding the approximate root of \(f(x) = 0\) using Newton-Raphson method is:
The work done by the force \(\vec{F} = 4\hat{a}_x - 3\hat{a}_y + 2\hat{a}_z N\) in giving a \(1 nC\) charge a displacement of \(10\hat{a}_x + 2\hat{a}_y - 7\hat{a}_z m\) is:
The superposition theorem is essentially based on the concept of:
When both the number of turns and the core length of an inductive coil are doubled, its self-inductance will be:
The magnetic susceptibility of diamagnetic materials is:
Two thin parallel wires carry currents along the same direction. The force experienced by one due to the other is:
The surface integral of the normal component of electric flux density over any closed surface is equal to the following enclosed:
Identify the statement that is not true for ferromagnetic material
The dipole moment per unit volume is known as
At resonance, voltage across L and C in series circuit is
Choose the correct statement
If all resistances in delta are equal to 30 \(\Omega\), then each resistance in star is
Phasor analysis is valid for
Choose the correct statement
At resonance, power factor in a parallel RLC circuit is
Thevenin equivalent of a circuit consists of
The varying electric fields are a source of
Form factor of a sine wave is
Internal resistance of ideal current source is
The efficiency of a circuit at maximum power transfer condition is
In a two wattmeter method, if one wattmeter reads negative then
The copper and iron losses of a \(1\)-\(\phi\) transformer are equal at \(90%\) of full load and the total loss at that load is \(162\) W. The total loss at \(80%\) of full load is
In an ideal transformer, which of the following is correct?
In delta-star connection, the phase displacement between the primary voltage and secondary emfs is
A transformer has full load copper loss of 400 W. The copper loss at half full load will be
The load current of a step down 250/200 V auto-transformer is 100 A. The conductive and inductive powers transformed are
The eddy current loss and hysteresis loss of 1-\(\phi\), 100 kVA, 50 Hz transformer are 4 kW and 6 kW respectively. If frequency is increased by 10%, then total loss is
In a wave winding, if \( y_b \) and \( y_c \) are back and commutator pitches respectively, then the front pitch \( y_f \) is given by
A DC generator with 8-pole, 480 armature conductors, wave winding, draws an armature current of 200 A. When brushes are shifted by \( 6^\circ \) electrical from GNP, the cross-magnetising amp-turn/pole is
To control voltage of a long shunt dc compound generator, a diverter resistance is connected across
When load current of a dc series motor is increased, then
The disadvantage of Hopkinson's test on two dc shunt machines is
Slope of the tangent drawn on initial portion of O.C.C of synchronous generator is
If the locus of minimum armature currents of V-curves of synchronous motor is a straight line, then the slope of the line is
If \( \delta \) is load angle, the real power of 3-\(\phi\) synchronous motor is
Speed of a 3-\(\phi\), 4-pole, 60 Hz induction motor at 75% of full-load is 1700 rpm. The speed at full-load can be
Frequency of rotor current of a 3-\(\phi\), 4-pole, 50 Hz induction motor is 3 Hz. Speed of the motor is
When the supply voltage to an induction motor is reduced by 10%, the maximum torque will be decreased approximately by
Two 3-\(\phi\) induction motors with \( p_1 \) and \( p_2 \) poles are cascaded together. Then the possible number of speeds are
In torque-slip curve of a 1-\(\phi\) induction motor, the backward torque is
The step angle of a 3-\(\phi\) (A, B, C), 6 stator pole, 4 rotor teeth stepper motor if excited sequentially i.e, A, AB, B, BC, C, CA, and so on is:
What is the VA output required for a CT of \(5 A\) rated secondary current when burden consists of a relay requiring \(7.5 VA\) at \(5 A\) and connecting lead resistance of \(0.08 \Omega\)?
In which relay, the relay operation depends upon the ratio of voltage to current?
Resistance switching is used in circuit breaker to:
For an \(n^{th}\) order system to be state controllable, which of the following is not a correct statement?
A generating station has a maximum demand of \(25\,MW\), a load factor of \(60%\), and a plant capacity factor of \(50%\). What is the reserve capacity of the plant?
The current densities in human bodies lying in the proximity of transmission lines are:
The characteristics of rate of convergence of Gauss-Seidel method and Newton-Raphson method respectively are
In case of the compensation of the power transmission lines, for the same voltage boost, the reactive power capacity of a shunt capacitor is ____________ that of a series capacitor.
Under steady state short circuit conditions, the armature reaction of a synchronous generator is:
A fully transposed transmission line has
The swing equation of a synchronous generator is
In nuclear reactors, the most commonly used neutron absorber is:
The insulation resistance of a single core cable is \(160 M\Omega/km\). The insulation resistance for \(4 km\) length is
The insulators used in transmission lines at river and road crossing are:
The effect of increase in temperature on transmission lines:
In distribution systems, the size of conductor is determined by using:
Bonding of the cable is done to:
The most frequently occurred fault in the power system is:
The transfer function model of a system is the reshaping of the differential equations of which type of system?
The per unit value of a \(2 \Omega\) resistor at \(100 MVA\) base and \(10 kV\) base voltage is
Match the following electrical system with mechanical system based on current-force analogy:
Compared with an induction motor, AC servo motor speed-torque characteristics and X/R ratio respectively are
The steady-state error of Type-2 system for a standard unit velocity input is
The centroid of the following system is \[ G(s)H(s) = \frac{K(s+10)(s+20)}{s^3(s+100)(s+800)} \]
For the following system, the angles of asymptotes are \[ G(s)H(s) = \frac{K}{s(s^2+2s+1)} \]
Natural frequency of oscillations of the following transfer function is \(\frac{C(s)}{R(s)} = \frac{1}{(s^2 + 0.5s + 1)}\):
Sensitivity of the following open loop system is: \[ R(s) \xrightarrow{\hspace{1cm}} \boxed{\frac{K}{(1+0.5s)}} \xrightarrow{\hspace{1cm}} C(s) \]
View Solution
Concept:
The sensitivity of a system's overall transfer function \(T(s)\) with respect to variations in a parameter \(P\) is defined mathematically as the ratio of the percentage change in \(T(s)\) to the percentage change in \(P\): \[ S^{T}_{P} = \frac{\partial T(s) / T(s)}{\partial P / P} = \frac{\partial T(s)}{\partial P} \frac{P}{T(s)} \]
For any standard open-loop configuration where the total forward transfer function is simply \(T(s) = G(s)\), any fractional change in the system components reflects entirely and directly into the overall transmission. Let us evaluate this parameter-wise for confirmation.
Step 1: Determine the overall transmission function of the system.
The given system is an open-loop block with a forward path gain function: \[ T(s) = G(s) = \frac{K}{1 + 0.5s} \]
Step 2: Calculate sensitivity with respect to the parameter matrix variable \(K\).
Using the definition of sensitivity \(S^{T}_{K}\): \[ S^{T}_{K} = \frac{\partial T(s)}{\partial K} \frac{K}{T(s)} \]
Differentiating \(T(s)\) with respect to \(K\): \[ \frac{\partial T(s)}{\partial K} = \frac{\partial}{\partial K}[\frac{K}{1 + 0.5s}] = \frac{1}{1 + 0.5s} \]
Now substitute this back into the sensitivity expression: \[ S^{T}_{K} = (\frac{1}{1 + 0.5s}) \frac{K}{(\frac{K}{1 + 0.5s})} \]
Canceling out identical terms in the numerator and denominator: \[ S^{T}_{K} = (\frac{1}{1 + 0.5s}) (\frac{1 + 0.5s}{1}) = 1 \]
Hence, the sensitivity of this open loop system is exactly 1, confirming option (A). Quick Tip: An fundamental law of control engineering states that the sensitivity of any open-loop system with respect to variations in its forward path parameter is always equal to unity (\(1\)). This happens because there is no feedback loop present to compensate or damp down any parameter deviations.
Which of the following pair of electro-mechanical devices are part of Synchro?
Choose the correct statement with reference to standard test signals
Time constant of a first order unit step input system is defined as the time at which unit step response reaches
Steady-state error of the following second order system for a unit ramp input is \(\frac{C(s)}{R(s)} = \frac{\omega_n^2}{(s^2 + 2\zeta\omega_n s + \omega_n^2)}\):
For the given open loop system, the poles of unity feed-back closed loop system are \(G(s) = \frac{1}{(s+2)(s+4)}\):
Feeding the distributor at more than one point
The state equation of a dynamical system is: \(\dot{X} = AX + Bu\), where \([A]\) is a \(3 3\) system matrix and \([B]\) is a \(3 1\) input matrix. Then the controllability matrix \(Q_c\) is
If transfer function of a controller is given by: \(G_c(s) = \frac{(K_1s^2 + K_2s + K_3)}{s}\), then the proportional, integral and derivative constants are
Which of the following bridge is not used for the measurement of capacitance?
An energy meter makes 600 revolutions per kWh. If it makes 300 revolutions in 30 minutes, then the load power is
Resolution of a \(3\frac{1}{2}\) digit DVM is
A DC potentiometer has a potential gradient of 20 mV/cm. The balancing lengths for a standard cell and an unknown voltage are 75 cm and 120 cm respectively. If the standard cell voltage is 1.50 V, then the unknown voltage is
A PMMC instrument has full-scale deflection current of \(50\ \) and coil resistance of \(1\ k\Omega\). The resistance to be added in series to convert it into 10 V voltmeter is
A moving-iron voltmeter reads correctly on DC. If connected to a 50 Hz sinusoidal AC source whose RMS value equals the DC value, then the reading will be
A current transformer has ratio 500/5. If the burden is 2 VA at rated secondary current, the corresponding burden impedance is
A digital frequency meter counts 5000 pulses during a gate time of 0.1 s. The measured frequency is
An analog instrument has a specified accuracy of \(\pm 1%\) of full-scale reading. If its full-scale value is 300 V and it reads 120 V, the maximum percentage error with respect to the indicated reading is
A strain gauge has gauge factor 2.1 and nominal resistance \(120\ \Omega\). If it is subjected to a strain of \(1000\ \mu\varepsilon\), the change in resistance is
A silicon diode has a reverse saturation current of \(10^{-12} A\) at 300 K. The approximate increase in temperature such that saturation current doubles is
A BJT in CE mode has \(\beta = 120\) and collector current \(I_C = 2.4 mA\). The small-signal transconductance at room temperature (\(V_T 25 mV\)) is approximately
The transconductance of MOSFET in saturation is
A phase shift oscillator requires minimum gain of
An op-amp with slew rate \( 0.5 V/ \) is used to generate a sine wave of amplitude \( 10 V \). Maximum frequency without distortion is approximately
A first-order high-pass RC filter has cutoff frequency \(f_c=1 kHz\). If the magnitude of the transfer function is measured at \(f=500 Hz\), the gain magnitude is
A synchronous 3-bit binary counter is currently in state \(Q_2Q_1Q_0=101\). After two clock pulses, its state will be
A 4-variable Boolean function is implemented using an 8:1 multiplexer. Three variables are used as select lines, and the remaining variable is connected appropriately to the data inputs. The minimum number of 8:1 multiplexers required to realize any arbitrary 4-variable Boolean function is
Resolution of an 8-bit ADC with 5V reference is
An 8085 microprocessor executes an instruction in 4 machine cycles containing 4, 3, 3, and 3 T-states respectively. If the clock frequency is 3 MHz, the execution time is approximately
The slip of a 3-\(\phi\), 50 Hz, induction motor fed by 3-\(\phi\), 50 Hz inverter is 's' at fundamental frequency. At \(5^{th}\) harmonic frequency, the harmonic slip is nearly equal to
A 3-\(\phi\), 50 Hz synchronous motor is to be operated at constant flux by frequency control. If frequency is decreased by 4% of rated frequency at the same flux, then the voltage should be
A power diode is open circuited, and a reverse dc voltage is applied to get a faster turn-off time. During reverse recovery time
(a) When current is negative peak, voltage is zero
(b) When voltage is negative peak, current is zero
(c) When current is negative peak, voltage is not zero
(d) When voltage is negative peak, current is not zero
Choose the correct answer
Power MOSFETs are extremely popular in
In IGBT an improved Miller feedback effect is seen (compared with MOSFET) because, ratio of gate-collector capacitance to gate-emitter capacitance is
In the first quadrant of V-I characteristics of Uni-Junction Transistor, the slopes of characteristic are in the following sequence
The triggering pulses for 1-\(\phi\), full wave converter using Zero Crossing Detector, pulse amplifier and gate pulse isolation transformer, are obtained during
A 3-\(\phi\) semi-converter with R-L load consists of _____ diodes and operates in _____
A 3-\(\phi\) fully controlled converter can be operated as a semi-converter, if
(a) One of the input ac supplies is disconnected and the thyristors connected to it are triggered at 180 degrees.
(b) One of the input ac supplies is disconnected and the thyristors connected to it are triggered at zero degrees.
(c) A free-wheeling diode can be connected across the load in the same direction of thyristors
(d) A free-wheeling diode can be connected across the load in the opposite direction of thyristors
Choose the correct answer
The input dc voltage of a 1-\(\phi\) full bridge inverter is 141.4 V and its duty ratio is 0.49. Then its approximate average and rms voltages are
The fundamental frequency and peak voltage of an inverter are f and \(V_m\) respectively. When it contains all odd harmonics, then its frequency and rms voltage of \(5^{th}\) harmonic are
If \(\alpha\) is ratio \(\frac{T_{ON}}{T}\) of chopper, then the ratio of input voltage to output voltage of step down and step-up chopper respectively are
For a step-down Type A chopper, the waveforms of input current I and output current \(I_o\) respectively are
The number of pulses per half cycle of PWM inverter is changed, then
A dc motor is connected to a 214 V rms (L-L), 3-\(\phi\), 50 Hz line using a 3-\(\phi\) bridge converter. If the firing angle is \(\frac{\pi}{6}\), full load armature current is 2500 A and armature resistance is 4 m\(\Omega\), then the back emf is
TS PGECET 2026 Exam Pattern
| Particulars | Details |
|---|---|
| Exam Mode | Computer-Based Test(CBT) |
| Question Type | Multiple Choice Questions(MCQs) |
| Total Questions | 120 Questions |
| Total Marks | 120 Marks |
| Exam Duration | 2 Hours |
| Marking Scheme | +1 mark for each correct answer |
| Negative Marking | No Negative Marking |
| Language of Paper | English |
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