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Justify that electrostatic potential is ...

Justify that electrostatic potential is constant throughout the volume of charged conductor and has same value on its surface as inside it.

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Since electric field inside the conductor is zero and has no tangential component on its surface, therefore, no work is done in moving a test charge within the conductor or on its surface. It means potential difference between any two points inside or on the surface is zero. Hence, electrostatic potential is constant throughout the volume of charged conductor and has same value on its surface as inside it.
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Why is electrostatic potential constant throughout the volume of the conductor and has the same value (as inside) on its surface ?

STATEMENT(A): Electrostatic potential is constant throughout the volume of the conductor and has the same value (as inside) on its surface STATEMENT(B): A cavity inside a conductor is shielded from outside electrical influences.

Knowledge Check

  • Throughout the volume of the conductor, electrostatic potential is

    A
    different
    B
    zero
    C
    constant
    D
    None of these

  • The charge given to any conductor resides on its outer surface because

    A
    the free charge tends to be in its minimum potential energy state
    B
    the free charge tends to be in its minimum kinetic energy state
    C
    The free charge tends to be in its maximum potential energy state
    D
    the free charge tends to be in its maximum kinetic energy state

  • 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

    • Similar Questions

    Explore conceptually related problems

    STATEMENT(A): Electrostatic potential is constant throughout the volume of the conductor and has the same value (as inside) on its surface STATEMENT(B): A cavity inside a conductor is shielded from outside electrical influences.

    Why is the electrostatic potential inside a charged conducting shell constant throughout the volume of the conductor?

    Why must electrostatic field be normal to the surface at every point of a charged conductor ?

    Throughout the volume of the conductor, electric potential is …….. And it has the ……….. As on its surface.

    Why electrostatic field is normal to the surface at every point of a charged isolated conductor?

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