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JEE Advanced Electrostatics questions with solutions

Coulomb law, electric field, Gauss law and electric potential. 16 questions from our 2016–2024 JEE Advanced pattern papers, from the Class 12 Physics syllabus. Each has the answer and a full solution.

Also practise: Electrostatics for JEE Main

JEE Advanced 2024

A parallel-plate air capacitor of capacitance 2 muF is charged to 30 V and then disconnected from the battery. A dielectric slab of dielectric…JEE Advanced 2024 Paper 1 · hard

JEE Advanced 2023

Let k=(1)/(4πε0). Several charged bodies each carry total charge Q and have radius R. List-I names the point at which the electric potential (taken…JEE Advanced 2023 Paper 1 · medium
A solid non-conducting sphere of radius R carries a volume charge density ρ=ρ0 r/R for r≤ R, where r is the distance from the centre (ρ0>0 is a…JEE Advanced 2023 Paper 2 · hard

JEE Advanced 2022

A solid conducting sphere of radius a carries charge +Q. It is surrounded by a concentric thick conducting shell of inner radius b and outer radius c…JEE Advanced 2022 Paper 1 · medium
A solid conducting sphere of radius R=20 cm carries a charge Q=+20 nC. It is surrounded by a thin concentric conducting spherical shell of radius 3R…JEE Advanced 2022 Paper 2 · medium
A point charge +q is held at a distance d in front of a very large grounded conducting plane.JEE Advanced 2022 Paper 2 · medium

JEE Advanced 2021

Paragraph 1: A thin insulating ring of radius R=0.10 m carries a uniformly distributed positive charge Q=4.0 muC and is fixed in a vertical plane so…JEE Advanced 2021 Paper 1 · 2-question set

JEE Advanced 2019

A solid conducting sphere of radius 1.0 cm carries charge +1 nC and sits at the centre of a concentric thick conducting spherical shell of inner…JEE Advanced 2019 Paper 1 · medium
A proton enters a region of uniform magnetic field vec B=0.10 hat k T and uniform electric field vec E=1000 hat k V m^-1 with velocity vec v0=(3hat…JEE Advanced 2019 Paper 1 · hard
A solid conducting sphere of radius a=10 cm carries a charge +Q and is placed concentrically inside a thick, initially uncharged, conducting…JEE Advanced 2019 Paper 2 · medium

JEE Advanced 2018

A non-conducting solid sphere of radius 0.20 m carries a total charge of 2.0 muC distributed uniformly throughout its volume. A proton is released…JEE Advanced 2018 Paper 1 · hard
A proton (mass 1.67×10^-27 kg, charge 1.6×10^-19 C) is released from rest at the origin in uniform fields vec E=2.0×10^3 V m^-1 hat x and vec B=0.10…JEE Advanced 2018 Paper 2 · hard

JEE Advanced 2017

Two thin concentric conducting spherical shells of radii 0.1 m and 0.3 m carry charges +3 nC (inner) and -1 nC (outer) and are isolated. Use…JEE Advanced 2017 Paper 1 · hard

JEE Advanced 2016

A solid conducting sphere of radius 1 cm carries charge +4 nC. It is surrounded concentrically by a thick conducting spherical shell of inner radius…JEE Advanced 2016 Paper 1 · medium
A thick conducting spherical shell has inner radius 10 cm and outer radius 20 cm and carries a net charge of +3 nC. A point charge of +2 nC is held…JEE Advanced 2016 Paper 2 · medium

Other Physics topics

Atoms, Nuclei and Dual Nature of Radiation 35 Calorimetry and Heat Transfer 17 Capacitors 11 Current Electricity 13 Electromagnetic Induction and Alternating Current 25 Fluid Mechanics, Elasticity and Surface Tension 21 Gravitation 13 Kinematics and Laws of Motion 11 Magnetic Effects of Current 34 Ray and Wave Optics 21 Rotational Motion 31 Simple Harmonic Motion 15 Thermodynamics and Kinetic Theory of Gases 23 Units and Measurements 8 Waves and Sound 28 Work, Energy and Power 9