1
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A $$3$$-bus power system is shown in the figure below, where the diagonal elements of $$Y$$-bus matrix are: $${Y_{11}} = - j12\,pu,\,\,\,{Y_{22}} = - j15\,pu\,\,$$ and $$\,{Y_{33}} = - j7\,pu.$$ GATE EE 2017 Set 1 Power System Analysis - Load Flow Studies Question 23 English

The per unit values of the line reactance's $$p, q$$ and $$r$$ shown in the figure are

A
$$p = - 0.2,\,\,q = - 0.1,\,\,r = - 0.5$$
B
$$p = 0.2,\,\,q = 0.1,\,\,r = 0.5$$
C
$$p = - 5,\,\,q = - 10,\,\,r = - 2$$
D
$$p = 5,\,\,q = 10,\,\,r = 2$$
2
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider the system with following input-output relation $$y\left[n\right]=\left(1+\left(-1\right)^n\right)x\left[n\right]$$ where, x[n] is the input and y[n] is the output. The system is
A
invertible and time invariant
B
invertible and time varying
C
non-invertible and time invariant
D
non-invertible and time varying
3
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Let $$z\left(t\right)=x\left(t\right)\ast y\left(t\right)$$, where "*" denotes convolution. Let C be a positive real-valued constant. Choose the correct expression for z(ct).
A
$$c.x\left(ct\right)\ast y\left(ct\right)$$
B
$$x\left(ct\right)\ast y\left(ct\right)$$
C
$$c.x\left(t\right)\ast y\left(ct\right)$$
D
$$c.x\left(ct\right)\ast y\left(t\right)$$
4
GATE EE 2017 Set 1
Numerical
+1
-0
Consider $$$g\left(t\right)=\left\{\begin{array}{l}t-\left\lfloor t\right\rfloor,\\t-\left\lceil t\right\rceil,\end{array}\right.\left.\begin{array}{r}t\geq0\\otherwise\end{array}\right\}$$$ where $$t\;\in\;R$$
Here, $$\left\lfloor t\right\rfloor$$ represents the largest integer less than or equal to t and $$\left\lceil t\right\rceil$$ denotes the smallest integer greater than or equal to t. The coefficient of the second harmonic component of the Fourier series representing g(t) is _________.
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