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Two air filled capacitors are connected as shown. The left capacitor is suddenly filled with a dielectric of constant K. The work done by battery after that is 2 4 μ J .  Dielectric constant K is:-

Option 1 -

2

Option 2 -

3

Option 3 -

4

Option 4 -

6

0 7 Views | Posted 3 weeks ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    3 weeks ago
    Correct Option - 1


    Detailed Solution:

    W D = Δ Q V

    ⇒ Δ Q = 4 μ C

    Q i = 2 × 4 2 + 4 × 6 = 8 μ C

    Q f = 1 2 μ C = C e q × 6

    C e q = 2 μ F ⇒ C 1 = C 2 = 4 μ F

    k = C 1 C 0 = 2

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