List of top Questions asked in TS PGECET- 2026

For a series RLC circuit, the impedance locus is plotted in the complex plane, the impedance circle is at

A DC motor has an input power of \(5\,\text{kW}\) and total losses of \(1\,\text{kW}\). The efficiency of the motor is

Which of the following is a constant loss in an electric machine?

In Thevenin's theorem, if a circuit has \(V_{th}=20\,\mathrm{V}\), \(R_{th}=4\,\Omega\), then the load current for \(R_L=4\,\Omega\) is

A series RLC circuit has \(L=0.1\,\mathrm{H}\) and \(C=10\,\mu\mathrm{F}\), then the resonant frequency is

In a parallel resonant circuit, the line current at resonance is

A \(50\,\mathrm{Hz}\) sinusoidal voltage has a peak value of \(141\,\mathrm{V}\). Its RMS value is

Which of the following is TRUE?

A series RLC circuit has \(L=0.5\,\text{H}\), \(C=0.02\,\text{F}\). For critical damping, the required resistance \(R\) is

Which of the following best represents an ideal current source?

Biot--Savart's law is most suitable for calculating magnetic field due to

An AC circuit has \(V_{\mathrm{rms}}=230\,\mathrm{V}\), \(I_{\mathrm{rms}}=5\,\mathrm{A}\) and power factor \(=0.8\), then the active power consumed is

If a solenoid has \(500\) turns, length \(0.5\,\text{m}\) and cross-sectional area \(4\times10^{-4}\,\text{m}^2\), then its self-inductance is

A capacitor of \(50\,\mu\mathrm{F}\) is connected to a \(200\ \mathrm{V}\) battery. A dielectric of \(K=4\) is inserted. Find the new capacitance and stored energy.

A continuous random variable \(X\) has the density function \[ f(x)= \begin{cases} e^{-x}, & x>0, 0, & \text{elsewhere}, \end{cases} \] then the expected value of \[ g(x)=e^{\frac{2x}{3}} \] is

For a given \[ u(x,y)=x^3-3xy^2+3x^2-3y^2+1, \] the analytic function \[ f(z)=u+iv \] is

How many minimum number of iterations are required to get an accuracy of \(0.001\) for the interval \([1,3]\) in the bisection method?

For a binomial variate \(X\) if \(n=5\) and \[ P(X=1)=8P(X=3), \] then its variance is

Magnetic flux through a coil changes from \(8\ \mathrm{mWb}\) to \(2\ \mathrm{mWb}\) in \(0.2\ \mathrm{s}\). What is the induced emf?

The general solution of \[ \log\left(\frac{dy}{dx}\right)=ax+by \] is

Let \(A=[a_{ij}]\) for \(i,j=1,2,3,\ldots,n\) be an \(n\times n\), \((n>1)\) matrix such that \[ a_{ij}= \begin{cases} i!, & \text{if } i=j, j, & \text{if } i>j, 0, & \text{if } i<j. \end{cases} \] Which one of the following is correct?

The divergence of \[ \left(2x^{2}z\,\hat{i}+xy^{2}z\,\hat{j}+3yz^{2}\,\hat{k}\right) \] at the point \((1,1,1)\) is

The value of \[ \left| \begin{array}{ccc} \log x & \log y & \log z \log ax & \log ay & \log az \log bx & \log by & \log bz \end{array} \right| \] is

The value of \[ \int_{0}^{\infty}\frac{x^{2}(1-x^{2})}{(1+x)^{24}}\,dx \] is

The differential equation \[ \frac{\partial^2u}{\partial x^2} +4\frac{\partial^2u}{\partial x\partial y} +4\frac{\partial^2u}{\partial y^2} -\frac{\partial u}{\partial x} -2\frac{\partial u}{\partial y} =0 \] is classified as