Two infinite identical charged sheets and a charged spherical body of charge density ' $\rho$ ' are arranged…

Two infinite identical charged sheets and a charged spherical body of charge density ' $\rho$ ' are arranged as shown in figure. Then the correct relation between the electrical fields at $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D points is :
  1. $\overrightarrow{\mathrm{E}}_{\mathrm{A}}=\overrightarrow{\mathrm{E}}_{\mathrm{B}} ; \overrightarrow{\mathrm{E}}_{\mathrm{C}}=\overrightarrow{\mathrm{E}}_{\mathrm{D}}$
  2. $\overrightarrow{\mathrm{E}}_{\mathrm{A}} \gt \overrightarrow{\mathrm{E}}_{\mathrm{B}} ; \overrightarrow{\mathrm{E}}_{\mathrm{C}}=\overrightarrow{\mathrm{E}}_{\mathrm{D}}$
  3. $\overrightarrow{\mathrm{E}}_{\mathrm{C}} \neq \overrightarrow{\mathrm{E}}_{\mathrm{D}} ; \overrightarrow{\mathrm{E}}_{\mathrm{A}} \gt \overrightarrow{\mathrm{E}}_{\mathrm{B}}$
  4. $\left|\overrightarrow{\mathrm{E}}_{\mathrm{A}}\right|=\left|\overrightarrow{\mathrm{E}}_{\mathrm{B}}\right| ; \overrightarrow{\mathrm{E}}_{\mathrm{C}} \gt \overrightarrow{\mathrm{E}}_{\mathrm{D}}$

Solution

Conceptual
$\begin{aligned}
& \mathrm{E}_{\mathrm{C}} \neq \mathrm{E}_{\mathrm{D}} \\ & \mathrm{E}_{\mathrm{A}} \gt \mathrm{E}_{\mathrm{B}}
\end{aligned}$

Asked in: JEE Main 2025 (04 Apr Shift 1)

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