Exercise 1 A coaxial capacitor consists of two concentric, conducting cylindrical surfaces, one of radius a and another of radius b, as shown in the figure. The insulating layer separating the two conducting surfaces is divided equally into two semi-cylindrical sections, one filled with dielectric ɛ, and the other filled with dielectric ɛ, b E (a)Develop an expression for C in terms of the length I and the given quantities (b) Evaluate the value of C for a = 2 mm, b = 6 mm, ɛ1 = 2, ɛ2 = 4 and I= 4 cm %3D %3D -(ɛ, +ɛ,) b)C=6.07 pF In b/a Ans : a) C =

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Exercise 1
A coaxial capacitor consists of two concentric,
conducting cylindrical surfaces, one of radius a
and another of radius b, as shown in the figure.
The insulating layer separating the two
conducting surfaces is divided equally into two
semi-cylindrical sections,
dielectric &, and the other filled with dielectric &,
b
one
filled with
E
(a)Develop an expression for C in terms
of the length I and the given quantities
(b) Evaluate the value of C for a=2 mm,
b = 6 mm, ɛ, = 2, ɛ2 = 4 and I= 4 cm
%3D
Ans : a) C =
(ɛ, +ɛ,) b)C= 6.07 pF
In b/a
Transcribed Image Text:Exercise 1 A coaxial capacitor consists of two concentric, conducting cylindrical surfaces, one of radius a and another of radius b, as shown in the figure. The insulating layer separating the two conducting surfaces is divided equally into two semi-cylindrical sections, dielectric &, and the other filled with dielectric &, b one filled with E (a)Develop an expression for C in terms of the length I and the given quantities (b) Evaluate the value of C for a=2 mm, b = 6 mm, ɛ, = 2, ɛ2 = 4 and I= 4 cm %3D Ans : a) C = (ɛ, +ɛ,) b)C= 6.07 pF In b/a
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