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Physics · Electrostatic Potential

हिन्दी

Given below are two statements: Statement I: The formula for electrostatic energy density \( u = \frac{1}{2} \varepsilon_0 E^2 \) is valid only for the uniform electric field between the plates of a parallel plate capacitor. Statement II: The permittivity of a dielectric medium is always smaller than the permittivity of free space. In the light of the above statements, choose the most appropriate answer from the options given below:

  1. A
    Both Statement I and Statement II are correct.
  2. B
    Both Statement I and Statement II are incorrect.
  3. C
    Statement I is correct but Statement II is incorrect.
  4. D
    Statement I is incorrect but Statement II is correct.
View Answer & Solution

Correct answer · Option B

Both Statement I and Statement II are incorrect.

Explanation

Statement I is incorrect: \( u = \frac{1}{2}\varepsilon_0 E^2 \) is completely general for any arbitrary electrostatic field configuration. Statement II is incorrect: \( \varepsilon = \varepsilon_0 K \) and since \( K > 1 \), \( \varepsilon > \varepsilon_0 \).
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