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Capacitance of a Random Conductor

As Gauss`s La...

Question

As Gauss`s Law is a derivation of Coulomb`s Law, so why the Electric Field of infinite plane sheet of charge does not depend on the distance(r)?

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Solution

Coulomb law is defined for point charges .Gauss law is not derived from coulomb . Now coming to long plane sheet yes filed is uniform hence it is independent of distance nut point charge field is non uniform hence it depends on distance .

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Q. Write the statement of Gauss' law for electrostatics.
Draw a diagram and derive an expression for electric field due to a uniformly charged infinite plane sheet at a point near the sheet.
For the given diagram, write the value of electric flux passing through the surface.

(1) DEFINE THESE IN SHORT

A. CHARGING BY INDUTION

B. CHARGING BY CONDUTION

C. COULOMB LAW

D. ELECTRIC FIELD

E. ELECTRIC FLUX

F. ELECTRIC DIPOLE

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(iii) How is the field directed if (i) the sheet is positively charged, (ii) negatively charged?

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