The GATE Grind

GATE Electromagnetics: Plane Waves and Properties – Previous Year Questions

15 GATE previous year questions on Plane Waves and Properties (Electromagnetics, Electronics and Communication Engineering) with answers and explanations, from every paper.

  1. GATE 2017 EC Q64 (2 marks, Multiple choice) – The expression for an electric field in free space is E = E 0(x + y + j2z)e-j( t - kx + ky), where x, y, z represent the spatial coordinates, t…
  2. GATE 2015 EC Q35 (1 mark, Numerical answer) – The electric field component of a plane wave traveling in a lossless dielectric medium is given by E(z, t) = a y 2(108 t - z2) V/m. The wavelength (in…
  3. GATE 2015 EC Q64 (2 marks, Numerical answer) – The electric field intensity of a plane wave traveling in free space is given by the following expression E(x, t) = a y 24( t - k 0 x) (V/m) In this…
  4. GATE 2015 EC Q65 (2 marks, Numerical answer) – Consider a uniform plane wave with amplitude (E 0) of 10 V/m and 1.1 GHz frequency travelling in air, and incident normally on a dielectric medium…
  5. GATE 2016 EC Q64 (2 marks, Multiple choice) – The electric field of a uniform plane wave travelling along the negative z direction is given by the following equation: E wi = (a x + ja y)E 0 ejkz…
  6. GATE 2018 EC Q43 (2 marks, Multiple choice) – The distance (in meters) a wave has to propagate in a medium having a skin depth of 0.1 m so that the amplitude of the wave attenuates by 20 dB, is
  7. GATE 2018 EC Q59 (2 marks, Numerical answer) – A uniform plane wave traveling in free space and having the electric field E=(2 a x- a z)[63108t-2(x+2z)]\ V/m is incident on a dielectric medium…
  8. GATE 2020 EC Q55 (2 marks, Numerical answer) – The magnetic field of a uniform plane wave in vacuum is given by H(x,y,z,t)=( a x+2 a y+b\, a z)( t+3x-y-z). The value of b is .
  9. GATE 2021 EC Q25 (1 mark, Multiple choice) – Consider a rectangular coordinate system (x,y,z) with unit vectors a x, a y, and a z. A plane wave traveling in the region z0 with electric field…
  10. GATE 2023 EC Q20 (1 mark, Multiple choice) – Consider a narrow band signal, propagating in a lossless dielectric medium ( r=4,\ r=1), with phase velocity v p and group velocity v g. Which of the…
  11. GATE 2023 EC Q53 (2 marks, Multiple select) – The electric field of a plane electromagnetic wave is E= a xC 1x( t- z)+ a yC 1y( t- z+)V/m. Which of the following combination(s) will give rise to a…
  12. GATE 2023 EC Q60 (2 marks, Numerical answer) – A transparent dielectric coating is applied to glass ( r=4,\ r=1) to eliminate the reflection of red light ( 0=0.75\ m). The minimum thickness of the…
  13. GATE 2024 EC Q39 (2 marks, Multiple choice) – A uniform plane wave with electric field E(x)=A y a ye-j2 x3 V/m is travelling in the air (relative permittivity, r=1 and relative permeability, r=1)…
  14. GATE 2026 EC Q24 (1 mark, Multiple choice) – The electric field of a monochromatic plane wave travelling in a lossless isotropic and homogenous medium is given by E(z,t)=E 0[ x( t-kz)+ y( t-kz)]…
  15. GATE 2026 EC Q28 (1 mark, Multiple select) – Which option(s) represents/ represent the dielectric loss tangent of a substrate?