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Karnataka Board PUCPUC Science 2nd PUC Class 12

Gauss’S Law

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Question

If Coulomb’s law involved 1/r3 dependence (instead of 1/r2), would Gauss’s law be still true?

One Line Answer
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Solution

Gauss’s law will not be true, if Coulomb’s law involved 1/rdependence, instead of1/r2, on r.

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Chapter 2: Electrostatic Potential and Capacitance - Exercise [Page 90]

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NCERT Physics Part I and II [English] Class 12
Chapter 2 Electrostatic Potential and Capacitance
Exercise | Q 2.31 (b) | Page 90

RELATED QUESTIONS

A spherical conductor of radius 12 cm has a charge of 1.6 × 10−7 C distributed uniformly on its surface. What is the electric field

  1. inside the sphere
  2. just outside the sphere
  3. at a point 18 cm from the centre of the sphere?

(a) Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by

`(vec"E"_2 - vec"E"_1).hat"n" = sigma/in_0`

Where `hat"n"` is a unit vector normal to the surface at a point and σ is the surface charge density at that point. (The direction of `hat"n"` is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is σ `hat"n"/in_0`

(b) Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another.

[Hint: For (a), use Gauss’s law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.]


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