Conductor, Electrostatic Shielding, Induced Charge and Charge Redistribution PYQs: JEE Mains Physics

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1. 1. Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
   
   Assertion A: In electrostatics, a conductor does not store any net charge inside.
   
   Reason R: Inside the capacitor (with no dielectric medium), the free charge carriers, if placed between the plates of capacitor, experience force and drift.
   
   Choose the correct answer from the options given below 2026 Medium
2. 2. Two charged conducting spheres \(S_1\) and \(S_2\) of radii \(8\) cm and \(18\) cm are connected to each other by a wire. After equilibrium is established, the ratio of electric fields on \(S_1\) and \(S_2\) spheres are \(E_{S_1}\) and \(E_{S_2}\) respectively. The value of \(\dfrac{E_{S_1}}{E_{S_2}}\) is _______. 2026 Medium
3. 3. Electric charge is transferred to an irregular metallic disk as shown in figure. If \(\sigma_1, \sigma_2, \sigma_3\) and \(\sigma_4\) are charge densities at given points then, choose the correct answer from the options given below:
   
   2025 Medium
4. 4. Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
   Assertion (A) : The outer body of an air craft is made of metal which protects persons sitting inside from lightning-strikes.
   Reason (R) : The electric field inside the cavity enclosed by a conductor is zero.
   In the light of the above statements, chose the most appropriate answer from the options given below : 2025 Easy
5. 5. Two metal spheres of radius \(R\) and \(3 R\) have same surface charge density \(\sigma\). If they are brought in contact and then separated, the surface charge density on smaller and bigger sphere becomes \(\sigma_1\) and \(\sigma_2\), respectively. The ratio \(\frac{\sigma_1}{\sigma_2}\) is ________. 2025 Medium
6. 6. The vehicles carrying inflammable fluids usually have _______ metallic chains touching the ground. 2024 Hard
7. 7. As shown in the figure, a point charge \(Q\) is placed at the centre of conducting spherical shell of inner radius a and outer radius \(b\). The electric field due to charge \(Q\) in three different regions I, II and III is given by: \(( I : r < a , II : a < r < b , III : r > b )\)
   2023 Medium
8. 8. Given below are two statements. Statement \(I\) : Electric potential is constant within and at the surface of each conductor. Statement \(II\) : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point. In the light of the above statements, choose the most appropriate answer from the options give below. 2022 Medium
9. 9. Sixty four conducting drops each of radius \(0.02 m\) and each carrying a charge of \(5 \,\mu C\) are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be ............ 2022 Medium
10. 10. Two uniformly charged spherical conductors \(A\) and \(B\) of radii \(5 mm\) and \(10 mm\) are separated by a distance of \(2 cm\). If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere \(A\) and \(B\) will be . 2022 Medium

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