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  • Need explanation for: The mean electric energy density between the plates of a charged capacitor is (here q=charge on the capacitor and A= area of the capacitor plate)

The mean electric energy density between the plates of a charged capacitor is (here  q=charge on the capacitor and  A = area of the capacitor plate) 

  • Option 1)

    \frac{q^2}{2\varepsilon _0A^2}

  • Option 2)

    \frac{q}{2\varepsilon _0A^2}

  • Option 3)

    \frac{q^2}{2\varepsilon _0A}

  • Option 4)

    None of the above

 

Answers (1)

best_answer

As we have learned

Energy density -

\frac{1}{2}\epsilon _{0}E^{2}

-

 

 Energy density = \frac{1}{2}\varepsilon _0E^2= 1/2\varepsilon _0\left ( \frac{\sigma }{\varepsilon _0} \right )^{2}= \frac{\sigma ^2}{2\varepsilon _0}= \frac{q^2}{2\varepsilon _0A^{2}}

 


Option 1)

\frac{q^2}{2\varepsilon _0A^2}

Option 2)

\frac{q}{2\varepsilon _0A^2}

Option 3)

\frac{q^2}{2\varepsilon _0A}

Option 4)

None of the above

Posted by

Avinash

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