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प्रश्न
If Coulomb’s law involved 1/r3 dependence (instead of 1/r2), would Gauss’s law be still true?
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उत्तर
Gauss’s law will not be true, if Coulomb’s law involved 1/r3 dependence, instead of1/r2, on r.
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संबंधित प्रश्न
(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.]
If R is the radius of a spherical conductor, Vm the dielectric strength, then the maximum electric-field magnitude to which it can be raised is ______.
The electrostatic potential on the surface of a charged conducting sphere is 100V. Two statements are made in this regard S1 at any point inside the sphere, electric intensity is zero. S2 at any point inside the sphere, the electrostatic potential is 100 V. Which of the following is a correct statement?
The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is ______.
Which of the following statements is false for a perfect conductor?
A test charge q is made to move in the electric field of a point charge Q along two different closed paths (Figure). First path has sections along and perpendicular to lines of electric field. Second path is a rectangular loop of the same area as the first loop. How does the work done compare in the two cases?
A thin spherical shell is charged by some source. The potential difference between the two points C and P (in V) shown in the figure is:
(Take `1/(4 pi epsilon_0` = 9 × 109 SI units)
Where does excess charge reside on a conductor in electrostatic equilibrium?
What does surface charge density represent, and what symbol denotes it?
In the surface-field expression \[\vec{E}=\frac{\sigma}{\varepsilon_0}\hat{n}\], what does \(\hat{n}\) represent?
What does \(\varepsilon_0\) represent in the electric-field formula for a charged conductor surface?
Why is the potential constant throughout a conductor in electrostatic equilibrium?
In the mini derivation of the charged conductor's surface field, what is used with Gauss's law?
Which justification is used for the formula \[E=\frac{\sigma}{\varepsilon_0}\]?
Which potential–field relation is used to show that potential is constant inside a conductor?
When a dry comb is run through dry hair, what transfers electrons and usually makes the comb negatively charged?
Why is a neutral paper piece attracted to a charged comb?
