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Show that the path followed by a charged...

Show that the path followed by a charged particle inside the electric field is parabolic in nature.

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Electric field is the electrostatic force per unit charge acting on a vanishingly small test charge placed at that point. It is a vector quantity and the electric field inside a charged conductor is zero. Electric flux f is the total number of electric lines of force passing through a surface in a direction normal to the surface when the surface is placed inside the electric field The electric field at a point is

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Work done to move a charge along a closed path inside an electric field is always zero. Use this fact to prove that it is impossible to produce an electric field in which all the lines of force would be parallel straight lines and the density of their distribution would constantly increase in a direction perpendicular to the lines of force as shown in Figure.​

Electric field is the electrostatic force per unit charge acting on a vanishingly small test charge placed at that point. It is a vector quantity and the electric field inside a charged conductor is zero. Electric flux f is the total number of electric lines of force passing through a surface in a direction normal to the surface when the surface is placed inside the electric field We have a Gaussian of radius R with Q at the centre then