Question 713: Electrostats & Capacitance

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).

Accepted Answer

$\begin{aligned} \overrightarrow{\mathrm{E}}_{\mathrm{p}} & =\left(\frac{\sigma}{2 \varepsilon_0}+\frac{2 \sigma}{2 \varepsilon_0}+\frac{\sigma}{2 \varepsilon_0}ight)(-\hat{\mathrm{i}}) \\ & =-\frac{2 \sigma}{\varepsilon_0} \hat{\mathrm{i}}\end{aligned}$

Electrostats & Capacitance

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).

Choose the correct answer: