Calculate the capacitance of a parallel plate condenser, with plate area A and distance between plates d, when filled with a dielectric whose dielectric constant varies as;
K(x) = 1 + 
(0 < x < 
) ; K(x) = 1 + 
(d - x) ( 
< x < d).
For what value of β would the capacity of the condenser be twice that when it is without any dielectric?
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
C = 
, βd = 4 ∈ 0 λ n 
Solution of this equation gives required value of β.
Sol. 
= 
= 
+ 
= 
+ 
..
= 
λ n 
+ 
λ n 
C eq = 
Now C eq = 2C 0 (C 0 = capacitance when it is without any dielectric)
= 
= 
, βd = 4 ∈ 0 λ n 
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