The GATE Grind

GATE Electromagnetic Fields: Biot-Savart law, Ampere law, Curl, Faraday law, Lorentz force – Previous Year Questions

12 GATE previous year questions on Biot-Savart law, Ampere law, Curl, Faraday law, Lorentz force (Electromagnetic Fields, Electrical Engineering) with answers and explanations, from every paper.

  1. GATE 2017 EE Q54 (2 marks, Numerical answer) – The magnitude of magnetic flux density (B) in micro Teslas (T), at the center of a loop of wire wound as a regular hexagon of side length 1 m carrying…
  2. GATE 2015 EE Q21 (1 mark, Numerical answer) – Consider a one-turn rectangular loop of wire placed in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the…
  3. GATE 2015 EE Q22 (1 mark, Multiple choice) – A steady current I is flowing in the -x direction through each of two infinitely long wires at y = L2 as shown in the figure. The permeability of the…
  4. GATE 2016 EE Q23 (1 mark, Multiple choice) – In cylindrical coordinate system, the potential produced by a uniform ring charge is given by = f(r, z), where f is a continuous function of r and z.…
  5. GATE 2021 EE Q51 (2 marks, Numerical answer) – One coulomb of point charge moving with a uniform velocity 10 x m/s enters the region x0 having a magnetic flux density B=(10y x+10x y+10 z) T. The…
  6. GATE 2022 EE Q23 (1 mark, Multiple choice) – A long conducting cylinder having a radius 'b' is placed along the z axis. The current density is J=J ar3\, z for the region r<b where r is the…
  7. GATE 2022 EE Q45 (2 marks, Multiple choice) – If the magnetic field intensity ( H) in a conducting region is given by the expression, H=x2+x2y2+x2y2z2 k A/m. The magnitude of the current density,…
  8. GATE 2023 EE Q43 (2 marks, Multiple select) – In the figure, the electric field E and the magnetic field B point to the z and x directions, respectively, and have constant magnitudes. A positive…
  9. GATE 2023 EE Q61 (2 marks, Numerical answer) – An infinite surface of linear current density K=5 a x A/m exists on the x-y plane, as shown in the figure. The magnitude of the magnetic field…
  10. GATE 2024 EE Q52 (2 marks, Numerical answer) – The given equation represents a magnetic field strength H(r,,) in the spherical coordinate system, in free space. Here, r and represent the unit…
  11. GATE 2026 EE Q16 (1 mark, Multiple choice) – A positive point charge with velocity v=5\, x enters a region having electric field E=4\, y and magnetic field B=-6\, z. Which one of the following…
  12. GATE 2026 EE Q51 (2 marks, Multiple choice) – The figure shows an arbitrarily shaped planar conducting loop A in the XY plane. Two nonintersecting regions with areas a 1 and a 2 within the loop…