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What meaning would you give to the capac...

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

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The capacity of a single conductor implies that the second conductor is infinity.
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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 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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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-ELECTROSTATIC POTENTIAL AND CAPACITANCE-Additional Excercise
  1. A 4muF capacitor is charged by a 200 V supply. It is then disconnected...

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

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

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

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  5. Two large conducting sphers carrying charges Q1 and Q2 are brought clo...

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  6. If Coulomb's law involved 1//r^3 dependence (instead of 1//r^2), would...

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  7. A small test charge is released at rest at a point in an electrostatic...

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  8. What is the work done by the field of a nucleus in a complete circular...

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  9. We know that electric field is discontinuous across the surface of a c...

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  10. What meaning would you give to the capacitance of a single conductor ?

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  11. Guess a possible reason why water has a much greater dielectric consta...

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  12. A cylinderical capacitor has two co-axial cylinders of length 15 cm an...

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  13. A parallel plate capacitor is to be desigined with a voltage rating 1k...

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

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  15. In a Van de Graff type generator a spherical metal shell is to be a 15...

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  16. A small sphere of radius r1 and charge q1 is enclosed by a spherical s...

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

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  18. A man fixes outside his house on evening on its top a large aluminium ...

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

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  20. What are the forms of energy into which the electrical energy of the a...

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