Question

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

Answer 1

Correct answer is : 2

\( \begin{aligned} \overrightarrow{\mathrm{E}}_{\mathrm{p}} & =\left(\frac{\sigma}{2 \varepsilon_{0}}+\frac{2 \sigma}{2 \varepsilon_{0}}+\frac{\sigma}{2 \varepsilon_{0}}\right)(-\hat{\mathrm{i}}) \end{aligned} \)

\(\begin{aligned} =-\frac{2 \sigma}{\varepsilon_{0}} \hat{\mathrm{i}} \end{aligned} \)