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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

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No, potential is vector quantity so it is constant.
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KUMAR PRAKASHAN-ELECTROSTATIC POTENTIAL AND CAPACITANCE-Section B ( Numerical From Textual Exercise )
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  2. A 4 muF capacitor is charged by a 200 V supply. It is then disconnecte...

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  3. Show that the force on each plate of a parallel plate capacitor has a ...

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  4. A spherical capacitor consists of two concentric spherical conductors,...

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  5. A spherical capacitor has an inner sphere of radius 12 cm and an outer...

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  6. Answer carefully: (a) Two large conducting spheres carrying charges ...

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  7. Answer carefully: (a) Two large conducting spheres carrying charges ...

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  8. Answer carefully: (a) Two large conducting spheres carrying charges ...

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  9. Answer carefully: (a) Two large conducting spheres carrying charges ...

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  10. Answer carefully: (a) Two large conducting spheres carrying charges ...

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  11. Answer carefully: (a) Two large conducting spheres carrying charges ...

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  12. Answer carefully: (a) Two large conducting spheres carrying charges ...

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  13. A cylindrical capacitor has two co-axial cylinders of length 15 cm, an...

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  14. A parallel plate capacitor is to be designed with a voltage rating 1 k...

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  15. Describe schematically the equipotential surfaces corresponding to (...

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  16. A small sphere of radius r(1) and charge q(1) is enclosed by a spher...

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  17. The top of the atmosphere is at about 400 kV ,with respect to the surf...

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  18. A man fixes outside his house one evening a two metre high insulating ...

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  19. The discharging current in the atmosphere due to the small conductivit...

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