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Consider an arbitrary electrostatic fiel...

Consider an arbitrary electrostatic field configuration. A small test charge is placed at a null point (i.e., where E = 0) of the configuration. Show that the equilibrium of the test charge is necessarily unstable. Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.

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MODERN PUBLICATION-TEXUAL QUESTIONS -EXERCISE
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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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  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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