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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 ofwould 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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Solution :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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