The GATE Grind

GATE Electricity and Magnetism: Magnetic fields and induction – Previous Year Questions

7 GATE previous year questions on Magnetic fields and induction (Electricity and Magnetism, Instrumentation Engineering) with answers and explanations, from every paper.

  1. GATE 2021 IN Q49 (2 marks, Numerical answer) – The electrically conductive square-section bar shown rests on a plane. Its mass is 1 kg and depth along y is 0.5 m. Friction coefficient is 0.1 and…
  2. GATE 2022 IN Q57 (2 marks, Numerical answer) – A conducting semicircular loop of radius R=0.1 m has its diameter centred at the origin and rotates in the x–y plane at =20 rad/s. A magnetic field…
  3. GATE 2023 IN Q27 (1 mark, Numerical answer) – The force per unit length between two infinitely long parallel conductors, with a gap of 2 cm between them is 10 µN/m. When the gap is doubled, the…
  4. GATE 2023 IN Q55 (2 marks, Numerical answer) – A 4 H inductor carries i 1(t)=(200 t) mA and is mutually coupled to a 5 H inductor carrying i 2(t)=2(200 t) mA, with dot polarities shown. The…
  5. GATE 2024 IN Q36 (2 marks, Multiple choice) – A circular wire of radius a has current density J=ks2, where k is constant and s is radial distance from the axis (0 s a). Its total current is
  6. GATE 2025 IN Q30 (1 mark, Multiple choice) – A 60 V DC source with internal resistance R int=0.5\ is connected through a switch to infinitely long rails separated by l=1 m, as shown. They lie in…
  7. GATE 2026 IN Q38 (2 marks, Multiple choice) – A straight thin wire carrying a current I=1\ A in the direction n=( i+2 j+ k)/6 is placed inside a magnetic field B=(2 i+2 k)\ T. The force per unit…