GATE EE 2015 Question Paper (07-Feb-2015) (Shift 2)

Two semi-infinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of +Q is placed at a distance of d from both sheets. The net force on the charge is $\frac{Q^2}{4\pi {\epsilon }_0}\frac{K}{d^2}$, where K is given by

In the following sequential circuit, the initial state (before the first clock pulse) of the circuit is Q₁Q₀ = 00. The state (Q₁Q₀) after the 333${}^{rd}$ clock pulse is

A Boolean function F(A,B,C,D) = π(1, 5,12,15) is to be implemented using an 8×1 multiplexer (A is MSB). The inputs ABC are connected to the select inputs S₂S₁S₀ of the multiplexer respectively.



Which one of the following options gives the correct inputs to pins 0, 1, 2, 3, 4, 5, 6, 7 in order?

The saturation voltage of the ideal op-amp shown below is $\pm 10V$. The output voltage $V_0$ of the following circuit in the steady-state is

The incremental costs (in rupees/MWh) of operating two generating units are functions of their respective powers P₁ and P₂ in MW, and are given by

$\begin{array}{l}\frac{d{C}_1}{d{P}_1}=0.2P_1+50\\ \frac{d{C}_2}{d{P}_2}=0.24P_2+40\end{array}$

Where,

$\begin{array}{l}20MW\le P_1\le 150MW\\ 20MW\le P_2\le 150MW\end{array}$

For a certain load demand, P1 and P2 have been chosen such that dC1 / dP1 = 76 Rs / MWh and dC2 / dP2 = 68.8 Rs / MWh. If the generations are rescheduled to minimize the total cost, then P2 is________.