Question

2.
ii) The charge per unit area of large flat sheet
is 17.7 u C/m . Calculate the electric field
intensity at a point just near the surface of
sheet measured from its mid-point.12th physics
​

Answer 1

Given:

The charge per unit area of large flat sheet is 17.7 uC/m.

To find:

Electric field intensity at a point just near the surface of sheet measured from its mid-point?

Calculation:

Using Gauss's Law , we can easily calculate that the electrostatic field intensity due to an charged sheet will be :

$\boxed{E = \dfrac{ \sigma}{2 \epsilon_{0}} }$

• It's evident from the equation that the field intensity is independent of the distance from the sheet.

$\implies \: E = \dfrac{ \sigma}{2 \epsilon_{0}}$

$\implies \: E = \dfrac{17.7 \times {10}^{ - 6} }{2 \times 8.85 \times {10}^{ - 12} }$

$\implies \: E = \dfrac{8.85 \times {10}^{ - 6} }{ 8.85 \times {10}^{ - 12} }$

$\implies \: E = {10}^{6} \: N/C$

So, the field intensity will be 10⁶ N/C.