1.

Answercarefully:(a) Twolarge conducting spheres carrying charges Q1and Q2are brought close to each other. Is the magnitude of electrostaticforce between them exactly given by Q1Q2/4πr2,where r isthe distance between their centres?(b) IfCoulomb’s law involved 1/r3dependence (instead of 1/r2),would Gauss’s law be still true?(c) A smalltest charge is released at rest at a point in an electrostatic fieldconfiguration. Will it travel along the field line passing throughthat point?(d) What isthe work done by the field of a nucleus in a complete circular orbitof the electron? What if the orbit is elliptical?(e) We knowthat electric field is discontinuous across the surface of a chargedconductor. Is electric potential also discontinuous there?(f) Whatmeaning would you give to the capacitance of a single conductor?(g) Guess apossible reason why water has a much greater dielectric constant (=80) than say, mica (= 6).

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Answer
carefully:



(a) 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 Q1
Q
2/4πr
2,
where r is
the 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 an electrostatic field
configuration. Will it travel along the field line passing through
that point?



(d) 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?



(e) We know
that electric field is discontinuous across the surface of a charged
conductor. Is electric potential also discontinuous there?


(f) What
meaning would you give to the capacitance of a single conductor?



(g) Guess a
possible reason why water has a much greater dielectric constant (=
80) than say, mica (= 6).



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