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Two infinitely long parallel conducting plates having surface charge densities +\sigma and -\sigma respectively, are separated by a small distance. The medium between the plates is vacuum. If  \varepsilon _{0} is the dielectric permittivity of vacuum, then the electric field in the region between the plates is      

  • Option 1)

    0 volts/meter

     

     

     

  • Option 2)

    \frac{\sigma }{2\varepsilon _{0}} volts/meter

  • Option 3)

    \frac{\sigma }{\varepsilon _{0}} volts/meter

  • Option 4)

    \frac{2\sigma }{\varepsilon _{0}} volts/meter

 

Answers (1)

best_answer

As we learned

 

Infinite Plane parallel sheets of charge -

If

\sigma _{A}=\sigma and \sigma _{B}=-\sigma \rightarrow  E_{p}= E_{R}=0

and 

E_{Q}= \frac{\sigma }{\epsilon _{0}}

-

 

 

Electric field between the plates is

\frac{\sigma }{2\varepsilon _{0}}-\frac{(-\sigma) }{2\varepsilon _{0}}

\frac{\sigma }{\varepsilon _{0}}volt/meter


Option 1)

0 volts/meter

 

 

 

Option 2)

\frac{\sigma }{2\varepsilon _{0}} volts/meter

Option 3)

\frac{\sigma }{\varepsilon _{0}} volts/meter

Option 4)

\frac{2\sigma }{\varepsilon _{0}} volts/meter

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