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The electrostatic potential on the surfa...

The electrostatic potential on the surface of a charged concducting sphere is `100 V`. Two statements are made in this regard
`S_(1) :` at any inside the sphere, electric intensity is zero.
`S_(2) :` at any point inside the sphere, the electrostatic potential is `100 V`.

A

`S_(1)` is true but `S_(2)` is false.

B

Both `S_(1)` and `S_(2)` are false.

C

`S_(1)` is true,`S_(2)` is also true and `S_(1)` is the cause of `S_(2)`.

D

`S_(1)` is true, `S_(2)` is also true but the statements are independent.

Text Solution

Verified by Experts

The correct Answer is:
C
In this problem, the electriic field intensity E and electric potential V are related as
`E=-(dV)/(dr)`
Electric field intensity `E=0` suggest that `(dV)/(dr)=0`
This imply that V=constant. ltBrgt Thus, E=0 inside the cahrged conducting sphere causes, the smae electrostatic potential 100 V at any point inside the sphere.
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NCERT EXEMPLAR-ELECTROSTATIC POTENTIAL AND CAPACITANCE-Electrostatic Potential And Capacitance
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  2. Figure shows some equipotential lines distributed in space. A charge...

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  3. The electrostatic potential on the surface of a charged concducting sp...

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  4. Equipotentials at a great distance from a collection of charges whose ...

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  5. A parallel plate capacitor is made of two dielectric blocks in series....

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  6. Consider a uniform electric field in the hat (z) direction. The potent...

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  7. Equipotential surfaces

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  8. The work done to move a charge along an equipotential from A to B

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  9. In a region of constant potential

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  10. In the circuit shown in figure , initially key K(1) is closed and key...

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  11. If a conductor has a potential V != 0 and there are no charges anywher...

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  12. A parallel plate capacitor is connected to a battery as shown in figur...

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  13. Consider two conducting spheres of radii R(1) and R(2) with R(1) gt R(...

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

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

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

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

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

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

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

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