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Can the potential function have a maximu...

Can the potential function have a maximum or minimum is free space ?

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No, the absence of atmosphere around conductor prevents the phenomenon of electric discharge or potential leakage and hence, potential function do not have a maximum or minimum in free space.
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NCERT EXEMPLAR-ELECTROSTATIC POTENTIAL AND CAPACITANCE-Electrostatic Potential And Capacitance
  1. Consider two conducting spheres of radii R(1) and R(2) with R(1) gt R(...

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  2. Do free electrons travel to region of higher potential or lower potent...

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  3. Can there be a potential difference between two adjacent conductors c...

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  4. Can the potential function have a maximum or minimum is free space ?

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  5. A test charge q is made to move in the electric field of a point cha...

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  6. Prove that a closed equipotenitial surface with no charge within itsel...

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  7. A capacitor has some dielectric between its plates, and the capacitor ...

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  8. Prove that, if an insulated, uncharged conductor is placed near a ch...

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  9. Calculate potential energy of a point charge -q placed along the axis...

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  10. Calculate potential on the axis of a ring due to charge Q uniformly ...

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  11. Find the equatio of the equipotentials for an infinite cylinder of rad...

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  12. Two point charges of magnitude +q and -q are placed at (-d//2,0,0) and...

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  13. A parallel palte capacitor is filled by a dielectric whose relative p...

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  14. A capacitor is made of two circular plates of radius R each, separate...

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  15. (a) In a quark model of elementary particles, a neutron is made of one...

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  16. Two metal spheres, one fo radius R and the other of radius 2R, both ...

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  17. In the circuit shown in Fig, initially K(1) is closed and K(2) is open...

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  18. Calculate potential on the axis of a disc of radius R due to a charge ...

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  19. Two charges q(1) and q(2) are placed at (0,0,d) and (0,0,-d) respectiv...

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  20. Two charges -q each are separated by dsitance 2d. A third charge +q i...

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