GATE EE 2015 Question Paper (07-Feb-2015) (Shift 1)

Consider a one-turn rectangular loop of wire place in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the field lines. The resistance of the loop is 0.4 Ω, and its inductance is negligible. The magnetic flux density (in Tesla) is a function of time, and is given by B(t) = 0.25 sin ωt, where ω = 2π × 50 radian/second. The power absorbed (in Watt) by the loop from the magnetic field is ________.

A steady current I is flowing in the –x direction through each of two infinitely long wires at $y=\pm \frac{L}{2}$ as shown in the figure. The permeability of the medium is ${\mu }_0$. The $\vec{B}$ – field at (0, L, 0) is

Consider the circuit shown in the figure, In this circuit $R=1k\Omega$, and $C=1\mu F$. The input voltage is sinusoidal with a frequency of 50 Hz, represented as phasor with magnitude $V_i$ and phase angle 0 radian as shown in the figure. The output voltage is represented as a phasor with magnitude $V_0$ and phase angle $\delta$ radian. What is the value of output phase angle $\delta$ (in radian) relative to the phase angle of the input voltage?

In the given circuit, the silicon transistor has β = 75 and collector voltage V${}_c$ = 9V. Then the ratio of R${}_B$ and R${}_c$ is _____.

In the 4×1 multiplexer output, F is given by F = A⊕B. Find the required input I₃I₂I₁I₀.