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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).

Text Solution

Verified by Experts

No, not necessarily. lf a test charge is released at rest at a point in an electric field then it will travel along the field lines passing through the point only if the field l.ines are straight. This is because the field lli1es give the direction of acceleration and not of velocity.
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