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In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capacitor. The expression for the capacity of the said capacitor will be: (Given area of plate = A)

Option 1 -

(15/34) (Kε₀A/d)

Option 2 -

(15/6) (Kε₀A/d)

Option 3 -

(25/6) (Kε₀A/d)

Option 4 -

(9/6) (Kε₀A/d)

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    a month ago
    Correct Option - 1


    Detailed Solution:

    1/Ceq = 1/C? + 1/C? + 1/C?
    1/Ceq = 1/ (K Aε? /d) + 1/ (3K Aε? /2d) + 1/ (5K Aε? /3d)
    1/Ceq = d/ (K Aε? ) + 2d/ (3K Aε? ) + 3d/ (5K Aε? )
    1/Ceq = (d/K Aε? ) * (1 + 2/3 + 3/5)
    1/Ceq = (d/K Aε? ) * (15+10+9)/15) = 34d / (15K Aε? )
    Ceq = 15K Aε? / 34d

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