MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Gauss's Law

If in Coulomb...

Question

If in Coulomb's law, there would be dependence on $\frac{1}{r^{3}}$ in place of $\frac{1}{r^{2}}$ , then would Gauss's law be true?

Open in App

Solution

No, Gauss's law will be applicable for those fields for which they follow inverse square law.

Suggest Corrections

thumbs-up

0

Similar questions

Q. If coulomb's law involved

1 / r^{3}

(1 / r^{2})

, would Gauss's law still be true?

Q. Verify Gauss's law from Coulomb's law.

Q. The constant

k

in Coulomb's law depends upon

Q. If some charge is given to a solid metallic sphere, the field inside remains zero and by Gauss's law all the charge resides on the surface. Suppose now that Coulomb's force between two charges varies as

1 / r^{3}

. Then, for a charged solid metallic sphere

Q. Answer carefully: (a) Two large conducting spheres carrying charges Q1 and Q2 arebrought close to each other. Is the magnitude of electrostaticforce between them exactly given by Q1 Q2/4pe0r2, where r isthe distance between their centres? (b) If Coulomb’s law involved 1/r3 dependence (instead of 1/r2),would Gauss’s law be still true ? (c) A small test charge is released at rest at a point in anelectrostatic field configuration. Will it travel along the fieldline passing through that point? (d) What is the work done by the field of a nucleus in a completecircular orbit of the electron? What if the orbit is elliptical? (e) We know that electric field is discontinuous across the surfaceof a charged conductor. Is electric potential also discontinuousthere? (f ) What meaning would you give to the capacitance of a singleconductor? (g) Guess a possible reason why water has a much greaterdielectric constant (= 80) than say, mica (= 6).

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Gauss' Law

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon