1

GATE ECE 1996

Subjective

+5

-0

A uniform plane wave having parallel polarization is obliquely incident on an air - dielectric interface as shown in Fig. If the wave has an electric field $$E = 10\,\,V/m$$, find

(i) The angle of incidence $${\theta _i}$$ for which there is no reflection of the wave.

(ii) The surface charge density at the interface.

(i) The angle of incidence $${\theta _i}$$ for which there is no reflection of the wave.

(ii) The surface charge density at the interface.

2

GATE ECE 1994

Subjective

+5

-0

A wave traveling in the $$+Z$$-direction, is the resultant of two linearly polarized components, $${E_x}\,\,\, = \,\,\,\,\,\,3$$ $$\,\,\,\,\cos \omega t$$ and $$\,{E_y}\,\,\,\, = \,\,\,2\,\cos \,\left( {\omega t + {{45}^ \circ }} \right)$$

Determine

(1) The axial ratio

(2) The angle between the major axis of the polarization ellipse and the $$+x$$-axis.

3

GATE ECE 1993

Subjective

+5

-0

Match the following descriptions with each of the diagrams given in Fig. Fields are near the interface, but on opposite sides of the boundary. Vectors are drawn to scale.

(a) Medium $$1$$ and medium $$2$$ are dielectrics with $${\varepsilon _1} > {\varepsilon _2}$$

(b) Medium $$1$$ and medium $$2$$ are dielectrics with $${\varepsilon _1} < {\varepsilon _2}$$

(c) Medium $$2$$ is a perfect conductor

(d) Impossible

(e) Medium $$1$$ is a perfect conduct

Questions Asked from Uniform Plane Waves (Marks 5)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE Subjects

Signals and Systems

Representation of Continuous Time Signal Fourier Series
Discrete Time Signal Fourier Series Fourier Transform
Discrete Time Signal Z Transform
Continuous Time Linear Invariant System
Transmission of Signal Through Continuous Time LTI Systems
Discrete Time Linear Time Invariant Systems
Sampling
Continuous Time Signal Laplace Transform
Discrete Fourier Transform and Fast Fourier Transform
Transmission of Signal Through Discrete Time Lti Systems
Miscellaneous
Fourier Transform

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics