GATE EE 2014 Set 1 | GATE EE Year Wise Previous Years Questions

GATE EE 2014 Set 1

MCQ (Single Correct Answer)

-0.3

Three phase to ground fault takes place at locations $${F_1}$$ and $${F_2}$$ in the system shown in the figure. GATE EE 2014 Set 1 Power System Analysis - Symmetrical Components and Symmetrical and Unsymmetrical Faults Question 37 English

GATE EE 2014 Set 1 Power System Analysis - Symmetrical Components and Symmetrical and Unsymmetrical Faults Question 37 English

If the fault takes place at location $${F_1}$$, then the voltage and the current at bus A are $${V_F1}$$ and $${{\rm I}_{F1}}$$ respectively. If the fault takes place at location $${F_2}$$, then the voltage and the current at bus A are $${V_{F2}}$$ and $${{\rm I}_{F2}}$$ respectively.

The correct statement about voltages and currents during faults at $${F_1}$$ and $${F_2}$$ is

$${V_{F1}}$$ leads $${{\rm I}_{F1}}$$ and $${V_{F2}}$$ leads $${{\rm I}_{F2}}$$

$${V_{F1}}$$ leads $${{\rm I}_{F1}}$$ and $${V_{F2}}$$ lags $${{\rm I}_{F2}}$$

$${V_{F1}}$$ lags $${{\rm I}_{F1}}$$ and $${V_{F2}}$$ leads $${{\rm I}_{F2}}$$

$${V_{F1}}$$ $${{\rm I}_{F1}}$$ and $${V_{F2}}$$ lags $${{\rm I}_{F2}}$$

GATE EE 2014 Set 1

MCQ (Single Correct Answer)

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x(t) is nonzero only for $$T_x\;<\;t\;<\;T_x^1$$ , and similarly, y(t) is nonzero only for $$T_y\;<\;t\;<\;T_y^1$$ . Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE?

z(t) can be nonzero over an unbounded interval

z(t) is nonzero for $$t\;<\;T_x+T_y$$

z(t) is zero outside of $$T_x+T_y\;<\;t\;<\;T_x^1+T_y^1$$

z(t) is nonzero for $$t\;>\;T_x^1+T_y^1$$

GATE EE 2014 Set 1

MCQ (Single Correct Answer)

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The function shown in the figure can be represented as GATE EE 2014 Set 1 Signals and Systems - Continuous and Discrete Time Signals Question 5 English

GATE EE 2014 Set 1 Signals and Systems - Continuous and Discrete Time Signals Question 5 English

$$u\left(t\right)-u\left(t-T\right)+\frac{\left(t-T\right)}Tu\left(t-T\right)-\left(\frac{t-2T}T\right)u\left(t-2T\right)$$

$$u\left(t\right)+\frac tTu\left(t-T\right)-\frac tTu\left(t-2T\right)$$

$$u\left(t\right)-u\left(t-T\right)+\frac{\left(t-T\right)}Tu\left(t\right)-\left(\frac{t-2T}T\right)u\left(t\right)$$

$$u\left(t\right)+\frac{\left(t-T\right)}Tu\left(t-T\right)-2\frac{\left(t-2T\right)}Tu\left(t-2T\right)$$

GATE EE 2014 Set 1

MCQ (Single Correct Answer)

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For a periodic square wave, which one of the following statements is TRUE?

The Fourier series coefficients do not exist

The Fourier series coefficients exist but the reconstruction converges at no point

The Fourier series coefficients exist and the reconstruction converges at most points.

The Fourier series coefficients exist and the reconstruction converges at every point

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