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 $24 μ J .$ Dielectric constant K is:-

Option 1 - 2

Option 2 - 3

Option 3 - 4

Option 4 - 6

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Answered by

Vishal Baghel | Contributor-Level 10

5 months ago

Correct Option - 1

Detailed Solution:

$W D = Δ Q V$

$\Rightarrow Δ Q = 4 μ C$

$Q_{i} = \frac{2 * 4}{2 + 4} * 6 = 8 μ C$

$Q_{f} = 12 μ C = C_{e q} * 6$

$C_{e q} = 2 μ F \Rightarrow C_{1} = C_{2} = 4 μ F$

$k = \frac{C_{1}}{C_{0}} = 2$

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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:-

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