Question 31: NCERT Solutions for 12th Class Physics: Chapter 2-Electrostatic Potential and Capacitance

Question

Nilima NilimaEnlightened

Asked: March 29, 20222022-03-29T05:08:26+00:00 2022-03-29T05:08:26+00:00In: Physics

Two large conducting spheres carrying charges Q₁ and Q₂ are brought close to each other, is the magnitude of electrostatic force between them exactly given by r is the distance between their centres?
If coulomb’s law involved 1 /r³ dependence (instead of 1/r²), would Gauss’s law be still true?
A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point?
What is the work done by the field of a nucleus in a complete circular orbit of the electron? What if the orbit is elliptical?
We know that electric field is discontinuous across the surface of a charged conductor. Is electric potential also discontinuous there?
What meaning would you give to the capacitance of a single conductor?
Guess a possible reason why water has a much greater dielectric constant {- 80) then say, mica (= 6).

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Nilima Nilima · Answer 1 · 2022-03-29T05:10:41+00:00

Solution:

No, because coulomb’s law holds good only for point charges. ‘
No, because in that case electric flux linked with the closed surface will also become dependent on V other than charge enclosed by it.
No, it will travel along the field line only if it is a straight line.
Zero, whatever may be the shape of orbit may be. It is because work done in moving a charge in closed path in electric field is zero, as electric field is a conservative field.
No, electric potential is continuous
there. As E = 0, so = 0 or V = constant.
It means that a single conductor is a capacitor whose other plate can be considered to be at infinity.
A water molecule is a polar molecule with non-zero electric dipole moment, however mica does not have polar molecules. So, dielectric constant of water is high.

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