Question

Using Gauss's law, deduce an expression for electric field at a point due to a uniformly charged infinite plane thin sheet.

Hint:

For an infinite plane sheet of charge: \[ \boxed{ E=\frac{\sigma}{2\varepsilon_0} } \] Remember:
• Electric field is uniform.
• Electric field is independent of distance from the sheet.
• The field is always perpendicular to the plane of the sheet. A common mistake is to include the distance from the sheet in the formula. For an infinite sheet, the electric field remains constant everywhere.

Answer 1