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Derive the expression for the current de...

Derive the expression for the current density of a conductor in terms of the conductivity and applied electic field. Explain with reason how the mobility of electrons in a conductor changes when the potential difference applied is doubled, keeping the temperature of the conductor constant.

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How does the mobility of electrons in a conductor change, if the potential difference applied across the conductor is doubled, keeping the length and temperature of the conductor constant ?

How does the mobility of electrons in a conductor change, if the potential difference applied across the conductor is doubled, keeping the length and temperature of the conductor constant ?

Knowledge Check

  • When a potential difference is applied across the ends of a linear metallic conductor

    A
    The free electrons are accelerated continuously from the lower potential end to the higher potential end of the conductor
    B
    The free electrons are accelerated continuously from the higher potential end to the lower potential end of the conductor
    C
    The free electrons acquire a constant drift velocity from the lower potential end to the higher potential end of the conductor
    D
    The free electrons are set in motion from their position of rest

  • When a potential difference (V) is applied across a conductor, the thermal speed of electrons is

    A
    zero
    B
    proportional to `sqrtT`
    C
    proportional to (T)
    D
    proportional to V

  • The drift velocity of electron in a metal conductor under effective of elecrtic field applied is

    A
    `10^(-1)m//s`
    B
    `10^(-2)m//s`
    C
    `10^(-3)m//s`
    D
    `10^(-4)m//s`

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    Derive the expression for drift velocity of free electron in terms of relaxation time and electric field applied across a conductor.

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