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a)Electric field on one side of a charged body is E1 and electric field on the other side of the same body is E2. If infinite plane charged body has a uniform thickness, then electric field due to one surface of the charged body is given by,
E1=-sigma/2∈n --------1
Where,
n= Unit vector normal to the surface at a point
sigma= Surface charge density at that point
Electric field due to the other surface of the charged body,
E2= -sigma/2∈n -----------2
Electric field at any point due to the two surfaces,
E2-E1= sigma/2∈n +sigma/2∈n= sigma/∈n
(E2-E1).n= sigma/∈---------3
Since inside a closed conductor, E1 = 0,
E=E2=- sigma/2∈n
Therefore, the electric field just outside the conductor is sigma/∈
(b) When a charged particle is moved from one point to the other on a closed loop, the work done by the electrostatic field is zero. Hence, the tangential component of electrostatic field is continuous from one side of a charged surface to the other
E1=-sigma/2∈n --------1
Where,
n= Unit vector normal to the surface at a point
sigma= Surface charge density at that point
Electric field due to the other surface of the charged body,
E2= -sigma/2∈n -----------2
Electric field at any point due to the two surfaces,
E2-E1= sigma/2∈n +sigma/2∈n= sigma/∈n
(E2-E1).n= sigma/∈---------3
Since inside a closed conductor, E1 = 0,
E=E2=- sigma/2∈n
Therefore, the electric field just outside the conductor is sigma/∈
(b) When a charged particle is moved from one point to the other on a closed loop, the work done by the electrostatic field is zero. Hence, the tangential component of electrostatic field is continuous from one side of a charged surface to the other
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