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Physics · Electrostatic Potential

हिन्दी

The region between the plates of an isolated parallel plate capacitor carrying charge \( Q \) has volume \( V_0 \). If the plate separation is doubled, what is the new electrostatic energy density in terms of the initial energy density \( u_0 \)?

  1. \( u_0 \)
  2. \( 2 u_0 \)
  3. \( \frac{u_0}{2} \)
  4. \( \frac{u_0}{4} \)

Correct answer · Option 1

\( u_0 \)

Explanation

Energy density is \( u = \frac{1}{2} \varepsilon_0 E^2 \). For an isolated capacitor, \( E = \frac{\sigma}{\varepsilon_0} = \frac{Q}{\varepsilon_0 A} \), which is independent of the distance \( d \). Therefore, \( u = u_0 \).
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