QUESTION 1 a) Two conducting plates are separated by three dielectric materials as shown in Figure Q.1(a) The relative permittivity, &, of the materials filled in the two conducting plates are tabulated in Table Q.1. Find the total capacitance, C of the parallel plates in terms of d₁, d₂, A₁, and A₂ by neglecting the fringing effects. The symbols of di, d2, A₁, and A₂ are the material thickness and material areas, respectively. A₁ A₂ d₁ d₂ 1 3 Material Relative permittivity, &r 2.2 2.8 3 4.2 Hint: The general capacitance formula of two conducting plates is given as: d where &, A, and d are the permittivity of free space, area of the two conducting plates, and distance between the two conducting plates, respectively. 123 2 Figure Q.1(a) Table Q.1

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QUESTION 1
a) Two conducting plates are separated by three dielectric materials as shown in
Figure Q.1(a) The relative permittivity, &, of the materials filled in the two
conducting plates are tabulated in Table Q.1. Find the total capacitance, C of
the parallel plates in terms of d₁, d2, A₁, and A₂ by neglecting the fringing effects.
The symbols of di, d2, A₁, and A2 are the material thickness and material areas,
respectively.
A₁
A₂
di
d₂
1
3
2
Figure Q. 1(a)
Table Q.1
Material
Relative permittivity, &r
1
2.2
2
2.8
3
4.2
Hint:
The general capacitance formula of two conducting plates is given as:
d
where E, A, and d are the permittivity of free space, area of the two conducting
plates, and distance between the two conducting plates, respectively.
1
Transcribed Image Text:QUESTION 1 a) Two conducting plates are separated by three dielectric materials as shown in Figure Q.1(a) The relative permittivity, &, of the materials filled in the two conducting plates are tabulated in Table Q.1. Find the total capacitance, C of the parallel plates in terms of d₁, d2, A₁, and A₂ by neglecting the fringing effects. The symbols of di, d2, A₁, and A2 are the material thickness and material areas, respectively. A₁ A₂ di d₂ 1 3 2 Figure Q. 1(a) Table Q.1 Material Relative permittivity, &r 1 2.2 2 2.8 3 4.2 Hint: The general capacitance formula of two conducting plates is given as: d where E, A, and d are the permittivity of free space, area of the two conducting plates, and distance between the two conducting plates, respectively. 1
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