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According to the definition of conductiv...

According to the definition of conductivity `(sigma=J//E)`, electric field is being considered to exist inside a conductor but according to electrostatics of conductor , electric field cannot exist inside its volume.
Explain the difference and state the condradiction if any.

Text Solution

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### Step-by-Step Solution: 1. **Understanding Conductivity**: - Conductivity (σ) is defined as the ratio of current density (J) to the electric field (E) within a conductor. The formula is given by: \[ \sigma = \frac{J}{E} \] - This implies that when an electric field is applied to a conductor, it causes charges (typically electrons) to move, resulting in a current. ...
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Knowledge Check

  • When electric field inside a conductor is E, mobility of free electrons inside the conductor is mu . When the electric field is doubled mobility will be

    A
    `mu`
    B
    `2mu`
    C
    `( mu )/(2)`
    D
    ` ( mu )/( 4)`
  • Consider the situation when an electric field E is present in a conductor. Acceleration a of the free electrons of the conductor due to this field is

    A
    `a=(eE)/m`
    B
    `a=e/(Em)`
    C
    `a=E/(em)`
    D
    `a=(-eE)/m`
  • Electric field inside a conductor can be zero only, if potential inside the onductor is

    A
    zero
    B
    constant
    C
    aboe an specified value
    D
    both are independet of each other
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