PYQ Vault

Field of one or more infinite charged sheets in each region

This type of question, asked 4 times: 25 Jun 2022, 1 Feb 2023, 6 Apr 2024, 2 Apr 2025. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    25 Jun 2022

    8
    In the figure, a very large plane sheet of positive charge is shown. P1P_{1} and P2P_{2} are two points at distance ll and 2l2l from the charge distribution. If σ\sigma is the surface charge density, then the magnitude of electric fields E1E_{1} and E2E_{2} at P1P_{1} and P2P_{2} respectively are:

    Tap an option to check your answer.

  2. Question 2

    1 Feb 2023

    2
    Let σ\sigma be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different region EI,EIIE_{I},E_{II} and EIIIE_{III} are:

    Tap an option to check your answer.

  3. Question 3

    6 Apr 2024

    22
    Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point PP is xσϵ0\frac{x\sigma}{\epsilon_{0}}. The value of xx is ______ (all quantities are measured in SI units).
  4. Question 4

    2 Apr 2025

    5
    Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge density +σ+\sigma and −2σ- 2\sigma. The force experienced by a point charge +q placed at the mid point between two plates will be :

    Tap an option to check your answer.