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41

GATE Electrical 2023 | Question: 31

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42

GATE Electrical 2023 | Question: 32
\begin{tabular}{|l|l|} \hline Q.42 & Consider the following equation in a 2-D real-space. \\ & $\left|x_{1}\right|^{p}+\left|x_{2}\right|^{p}=1$ for $p>0$ \\ Which of the following statement(s) is/are true. \\ \hline & When ... area enclosed by the curve is 1. \\ \hline & When $p=1$, the area enclosed by the curve is 2. \\ \hline \end{tabular}

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43

GATE Electrical 2023 | Question: 33
\begin{tabular}{|l|l|} \hline Q.43 & ... the charge will be a circle. \\ \hline & The charge will progress in the direction of $\mathbf{y}$. \\ \hline \end{tabular}

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44

GATE Electrical 2023 | Question: 34
\begin{tabular}{|l|l|} \hline Q.44 & $\begin{array}{l}\text { All the elements in the circuit shown in the following figure are ideal. Which of the } \\ \text { following statements is/are true? }\end{array}$ \\ \hline & When switch $S$ ... $S$ is $\mathrm{OFF}, D_{1}$ conducts, $D_{2}$ is reverse biased and $D_{3}$ conducts \\ \hline \end{tabular}

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45

GATE Electrical 2023 | Question: 35
\begin{tabular}{|l|l|} Q.45 & $\begin{array}{l}\text { The expected number of trials for first occurrence of a "head" in a biased coin is } \\ \text { known to be 4. The probability of first occurrence of a "head" in the second trial is } \\ \text { (Round off to } 3 \text { decimal places). }\end{array}$ \\ \hline & - \end{tabular}

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46

GATE Electrical 2023 | Question: 36
\begin{tabular}{|l|l|} \hline Q.46 & Consider the state-space description of an LTI system with matrices \\ ... $\omega$ for which the steady-state output of \\ the system will be zero, is \\ \hline \end{tabular}

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47

GATE Electrical 2023 | Question: 37

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48

GATE Electrical 2023 | Question: 38
\begin{tabular}{|l|l|} \hline Q.48 & \begin{tabular}{l} A three phase $415 \mathrm{~V}, 50 \mathrm{~Hz}, 6$-pole, $960 \mathrm{RPM}, 4 \mathrm{HP}$ squirrel cage induction motor \\ drives a constant torque load at rated speed ... impedance \\ and rotational losses) is __ (Round off to the nearest integer). \\ \hline \end{tabular} \\ \hline \end{tabular}

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49

GATE Electrical 2023 | Question: 39
\begin{tabular}{|l|l|} \hline Q.49 & \begin{tabular}{l} The period of the discrete-time signal $x[n]$ described by the equation below is \\ $N=$ ... $x$ \\ \hline \end{tabular}

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50

GATE Electrical 2023 | Question: 40
\begin{tabular}{|l|l|} \hline Q.50 & ... \\ \hline \end{tabular}

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51

GATE Electrical 2023 | Question: 41
\begin{tabular}{|l|l|} \hline Q.51 & $\begin{array}{l}\text { For the circuit shown, if } i=\sin 1000 t, \text { the instantaneous value of the Thevenin's } \\ \text { equivalent voltage (in Volts) across the terminals } a-b \text { at time } t=5 \mathrm{~ms} \text { is } \\ \text { (Round off to } 2 \text { decimal places). }\end{array}$ \end{tabular}

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52

GATE Electrical 2023 | Question: 42
\begin{tabular}{|l|l|} \hline Q.52 & ... \\ \hline (Round off to 2 \end{tabular}

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53

GATE Electrical 2023 | Question: 43
\begin{tabular}{|l|l|} \hline Q.53 & ... \end{tabular}

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54

GATE Electrical 2023 | Question: 44

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55

GATE Electrical 2023 | Question: 45
\begin{tabular}{|l|l|} \hline Q.55 & \begin{tabular}{l} The circuit shown in the figure has reached steady state with thyristor ' $T$ ' in $\mathrm{OFF}$ \\ condition. Assume that the latching and holding currents of the thyristor are zero. ... would conduct, before it turns off, is \\ places). \\ \hline (Round off to 2 decimal \end{tabular} \end{tabular}

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56

GATE Electrical 2023 | Question: 46
\begin{tabular}{|l|l|l|l} Q.56 & $\begin{array}{l}\text { Neglecting the delays due to the logic gates in the circuit shown in figure, the } \\ \text { decimal equivalent of the binary sequence [ABCD] of initial logic states, which } \\ \text { will not change with clock, is }\end{array}$ \end{tabular}

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57

GATE Electrical 2023 | Question: 47
\begin{tabular}{|l|l|} \hline Q.57 & \begin{tabular}{l} In a given 8-bit general purpose micro-controller there are following flags. \\ C-Carry, A-Auxiliary Carry, O-Overflow flag, P-Parity ( 0 for even, 1 for odd) \\ R0 and R1 are the two general purpose ... \\ \hline \end{tabular}

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58

GATE Electrical 2023 | Question: 48
\begin{tabular}{|l|l|} \hline Q.58 & ... \\ \hline \end{tabular}

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59

GATE Electrical 2023 | Question: 49
\begin{tabular}{|l|l|} \hline Q.59 & ... \\ \hline (Round off to 2 \end{tabular}

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60

GATE Electrical 2023 | Question: 50

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61

GATE Electrical 2023 | Question: 51
\begin{tabular}{|l|l|} \hline Q.61 & ... \\ \hline (Round off to 2 \end{tabular}

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62

GATE Electrical 2023 | Question: 52
\begin{tabular}{|l|l|} Q.62 & ... \\ \hline (Round off to 2 decimal places). \\ \hline-1.5 \\ \hline-0.5 \\ \hline \end{tabular}

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63

GATE Electrical 2023 | Question: 53
\begin{tabular}{|l|l|} \hline Q.63 & ... \\ \hline & \\ \hline \end{tabular}

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64

GATE Electrical 2023 | Question: 54

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65

GATE Electrical 2023 | Question: 55
\begin{tabular}{|l|l|} \hline Q.65 & A quadratic function of two variables is given as \\ $\qquad f\left(x_{1}, x_{2}\right)=x_{1}^{2}+2 x_{2}^{2}+3 x_{1}+3 x_{2}+x_{1} x_{2}+1$ \\ The magnitude of the maximum rate of change of the function at the point $(1,1)$ is \\ (Round off to the nearest integer). \end{tabular}

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