1
GATE ECE 2016 Set 2
Subjective
+2
-0
A microwave circuit consisting of lossless transmission lines $$T_1$$ and $$T_2$$ is shown in the figure. The plot shows the magnitude of the input reflection coefficient $$\Gamma $$ as a function of frequency f. The phase velocity of the signal in the transmission lines is $$2\, \times \,{10^8}$$ m/s GATE ECE 2016 Set 2 Electromagnetics - Transmission Lines Question 4 English 1 GATE ECE 2016 Set 2 Electromagnetics - Transmission Lines Question 4 English 2
2
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A lossless microstrip transmission line consists of a trace of width w. It is drawn over a practically infinite ground plane and is separated by a dielectric slab of thickness 𝑡 and relative permittivity $${\varepsilon _r}\, > \,1$$. The inductance per unit length and the characteristic impedance of this line are L and $$Z_o$$ respectively. GATE ECE 2016 Set 2 Electromagnetics - Transmission Lines Question 1 English Which one of the following inequalities is always satisfied?
A
$${Z_o}\, > \,\sqrt {{{Lt} \over {{\varepsilon _o}\,{\varepsilon _r}\,w}}} $$
B
$${Z_o}\, < \,\sqrt {{{Lt} \over {{\varepsilon _o}\,{\varepsilon _r}\,w}}} $$
C
$${Z_o}\, > \,\sqrt {{{Lw} \over {{\varepsilon _o}\,{\varepsilon _r}\,t}}} $$
D
$${Z_o}\, < \,\sqrt {{{Lw} \over {{\varepsilon _o}\,{\varepsilon _r}\,t}}} $$
3
GATE ECE 2016 Set 2
Numerical
+1
-0
Consider the time-varying vector $$I = \,\hat x\,\,15\,\cos \,(\omega \,t) + \,\hat y\,5\,sin(\omega \,t)$$ in Cartesian coordinates, where $$\omega $$ > 0 is a constant. When the vector magnitude $$\left| I \right|$$ is at its minimum value, the angle $$\theta $$ that I makes with the x axis (in degree, such that $$0\, \le \,0 \le \,180$$) is _________________
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4
GATE ECE 2016 Set 2
Numerical
+1
-0
Light from free space is incident at an angle $${\theta _1}$$ to the normal of the facet of a step-index large core optical fibre. The core and cladding refractive indices are $${n_1}\,\, = \,\,1.5$$ and $${n_2}\,\, = \,\,1.4$$ respectively. GATE ECE 2016 Set 2 Electromagnetics - Miscellaneous Question 5 English

The maximum value of $${\theta _1}$$ (in degrees) for which the incident light will be guided in the core of the fibre is ________ .

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