GATE EE 2012 Question Paper (12-Feb-2012) (Shift 2)

A Two – phase load draws the following phase currents: $i_1\left(t\right)=I_m\sin \left(\omega t-{\varphi }_1\right),i_2\left(t\right)=I_m\cos \left(\omega t-{\varphi }_2\right)$ These currents are balanced if ${\varphi }_1$ is equal to

A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil (PMMC) meter connected across the same load reads

Among the following which one of the bridge method is commonly used for finding mutual inductance

With initial condition x(1) = 0.5 , the solution of the differential equation $t\frac{dx}{dt}+x=t$ is

The unilateral Laplace transform of f(t) is $\frac{1}{s^2+s+1}$. The unilateral Laplace transform of t f(t) is