Electric Field Intensity Due To a Infinite Sheet Charge - Field Theory.
(SYMMETRY ABOUT A PLANE) - Consider an infinite sheet of charge in the y-z plane having a uniform charge density of ρ s C/m 2 . - For easy analysis, divide the sheet into differential width strips (dy). ρ L = ρ s dy - The distance between the point P and the line charge Z 2 = X 2 + Y 2 - Since the sheet lies in y-z plane the field components due to y and z will be canceled out at the point at which the field is to be determined. (As we have seen in electric field due to a line charge where the z component gets canceled out.) - Only E x component is present and hence the field is a function of x alone for an infinite sheet of charge on y-z plane. - Hence the electric field intensity due to an infinite line charge is given as: - Magnitude E x at point P due to an infinite differential width strip(dy): from – ∞ to + ∞ , - If the field intensity is obtained at point P on the negative axis , then E will be: - In general,...