The GATE Grind

GATE Electricity and Magnetism: Electrostatics and capacitance – Previous Year Questions

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

  1. GATE 2021 IN Q13 (1 mark, Multiple choice) – An infinitely long line with uniform positive charge density lies along the z-axis. In cylindrical coordinates (r,,z), the electric-field direction at…
  2. GATE 2022 IN Q59 (2 marks, Numerical answer) – A capacitor consists of two concentric spheres with air dielectric of permittivity 8.85410-12 F/m. Inner and outer radii are 10 cm and 15 cm. Its…
  3. GATE 2023 IN Q15 (1 mark, Multiple choice) – A parallel-plate capacitance is calculated as 20 pF using C= 0 rA/d, where 0 is free-space permittivity, r relative dielectric permittivity, A…
  4. GATE 2024 IN Q20 (1 mark, Multiple choice) – Two concentric spherical metal shells have radii x,y with y>x. If the intervening medium has permittivity , their capacitance is
  5. GATE 2025 IN Q19 (1 mark, Multiple choice) – An infinite uniform charge sheet with s=10\ C/m2 lies in the z=0 plane. The surrounding medium has relative permittivity 10. The electric flux density…
  6. GATE 2026 IN Q15 (1 mark, MTA) – An electric field has a potential V(x,y,z)=x2+y2+z2\ V. A charge of 1 coulomb placed at (i+j+k) experiences a force F=(ai+bj+ck)\ N. The values of…
  7. GATE 2026 IN Q37 (2 marks, Multiple choice) – An electric field in free space is E=(2x+5y+6z) i+(5x+4y+10z) j+(6x+10y+2z) k\ V/m. The charge density is C/m3. ( 0 is the permittivity of free…