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Show that the normal component of electr...

Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by `(E_2 - E_1) hatn= (sigma)/(epsilon_0)` where n is a unit vector normal to the surface at a point and is the surface charge density at that point. (The direction of `hatn` is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is `sigma hatn // epsilon_0` . Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another.

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Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by (E_2 - E_1) hatn= (sigma)/(epsilon_0) where hatn is a unit vector normal to the surface at a point and is the surface charge density at that point. (The direction of hat n is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is sigma hatn // epsilon_0

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MODERN PUBLICATION-TEXUAL QUESTIONS -EXERCISE
  1. Show that the normal component of electrostatic field has a discontinu...

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  2. A charge q is placed at the centre of line joining two equal charges Q...

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  3. Two opposite corners of a square carry Q charges each and the other tw...

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  4. A copper ball of density 8.6 g cm^-3 cm in diameter is immersed in oil...

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  5. Two point charges of +16muC and -9muC are placed 8 cm apart in air. D...

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  6. A spherical conductor of radius 12 cm has a charge of 1.6 xx 10^-7C di...

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  7. An electric dipoole, when placed at an angle 30^@ with a uniform elect...

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  8. A charged ball B hangs from a silk thread S, which makes an angle thet...

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  9. A charged particle q is placed at the centre O of the cube (ABCDEFGH) ...

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  10. Two charged conducting spheres A and B having radii a and b connected ...

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  11. On moving a charge of 20 C by 2 cm, 2 J of work is done. Then, the pot...

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  12. The potential at a point at distance x from some charge placed on X-ax...

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  13. Capacitance (in F) of a spherical conductor of radius 1 m is

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  14. A sheet of aluminium foil of negligible thickness is introduced betwee...

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  15. A parallel plate capacitor is made by stacking n equally spaced plates...

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  16. If n capacitors are connected in parallel to a V volt source, then tot...

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  17. A battery is used to charge a parallel plate capacitor till the potent...

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  18. A parallel plate capacitor with air between the plates has capacitance...

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  19. A fully charged capacitor has a capacitance 'C'. It is discharged thro...

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  20. The unit of permittivity of free space (E0) is :

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  21. When air is replaced by a dielectric medium of dielectric constant K, ...

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