Question

Find the electric field due to an infinitely large uniformly charged non-conducting thick sheet, at a point $\text{P}$ inside the sheet as shown in figure.

• A. $2\text{N/C}$
• B. $4\text{N/C}$
• C. $6\text{N/C}$
• D. $10\text{N/C}$

Answer 1

The correct option is D $10\text{N/C}$

Given:
Thickness of sheet, $d=4\text{cm}$
Distance of point $\text{P}$ from mid-line of sheet, $x=1\text{cm}=0.01\text{m}$
Charge density, $\rho =9{\text{nC/m}}^3$

Here, $x<\frac{d}{2}$

We know that the electric field inside the non-conducting thick sheet, at a distance $x$ from the central plane, is given by,

$E=\frac{\rho x}{{ϵ}_0}$

$\Rightarrow E=\frac{9\times {10}^{-9}\times 0.01}{9\times {10}^{-12}}=10\text{N/C}$

So, option $\left(d\right)$ is correct.