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Answer carefully: (a) Two large conduc...

Answer carefully:
(a) Two large conducting spheres carrying charges `Q_(1)` and `Q_(2)` are brought close to each other. Is the magnitude of electrostatic force between them exactly given by `Q_(1),Q_(2)//4pi epsilon_(0)r^(2)`, where r is the distance between their centres?
(b) If Coulomb’s law involved `1//r^(3)` dependence (instead of 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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Water has an unsymmetrical space as compared to mica. Since, it has a permanent dipole moment it has a greater dielectric constant than mica.
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