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Author Topic: Permitivitas Relatif  (Read 1608 times)

Offline Rizal Munadi

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Permitivitas Relatif
« on: April 04, 2010, 08:57:52 AM »
Salah satu hal yang perlu dipelajari dalam saluran transmisi, terutama menyangkut dengan penggunaan 'substrate' adalah masalah permitivitas relatif. Hal ini sangat diperlukan nantinya dalam memahami bagaimana suatu sinyal berpropagasi melalui PCB. Untuk itu parameter "relative permittivity or dielectric constant" perlu dipahami.

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The relative dielectric constant, E ' r, is a measure of the amount   of energy stored in a dielectric insulator per unit electric field, and   hence a measure of the capacitance between a pair of conductors   (trace-air, trace-trace, wire-wire, trace-wire, etc.) in the vicinity of   the dielectric compared to the capacitance of the same conductor pair   in a vacuum. The relative dielectric constant of vacuum is approximately   equal to 1.0. All materials have a dielectric constant significantly   greater than one. The larger the number, the more energy stored per unit   insulator volume. The higher the capacitance, the slower the   electromagnetic field travels through the transmission line.
Electromagnetic waves propagate at a speed that is   dependent on the electrical properties of the surrounding medium.   Propagation delay is typically measured in units of picoseconds/distance   (inch or cm). Propagation delay is the inverse of velocity of   propagation (the speed at which data is transmitted through conductors).   The dielectric constant varies with material parameters. Factors that   influence the relative permittivity of a given material include the   electrical frequency, temperature, extent of water absorption (also   forming a dissipative loss), and electrical characterization technique.   In addition, if the PCB material is a composite of two or more   laminates, the value of E ' r may vary significantly, as the relative   amount of resin and glass of the composite varies.
In air, or vacuum, the velocity of propagation is   the speed of light. In a dielectric material, the velocity of   propagation is slower (approximately 0.6 times the speed of light for   common PCB laminates). Both the velocity of propagation and the   effective dielectric constant are given by the equation below.
 
(velocity of propagation)
(dielectric constant)
                  where
                      C = 3*108 meters per second, or about 30 cm/ns (12   in/ns)
                                           E ' r =   effective dielectric constant
                      Vp = velocity of propagation
                     
                      The effective relative permittivity, E ' r, is what   is experienced by an electrical signal transmitted along a conductive   path. Effective relativity permittivity can be determined by using a   Time Domain Reflectometer (TDR) or by measuring the propagation delay   for a known length line and calculating the value.
FR-4, currently the most common material used in   the fabrication of a PCB, has a dielectric constant that varies with the   frequency of the signal within the material. Most engineers generally   assume that E ' r is in the range of 4.5 to 4.7. These values,   referenced by designers for many years and are based on measurements   taken with a 1-MHz reference signal. Measurements were not made on FR-4   material under actual operating conditions, especially with today’s   high-speed designs. What worked over 20 years ago is insufficient for   today's products. A more accurate value of E ' r is determined by   measuring the actual propagation delay of a signal in a trace using a   TDR.
The figure below shows the "real" value of E ' r   for FR-4, based on research by the Institute for Interconnecting and   Packaging Electronics Circuits Organization (IPC). This chart is   provided in document IPC-2141, Controlled Impedance Circuit Boards and   High-speed Logic Design.
 

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Rizal Munadi

Offline Rizal Munadi

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Re: Permitivitas Relatif
« Reply #1 on: April 04, 2010, 09:56:51 AM »
Dari situs wikipedia edisi Indonesia, penjelasan mengenai konstanta Dielektirk ( You are not allowed to view links. Register or Login ):

Konstanta dielektrik atau permitivitas listrik relatif,   adalah sebuah You are not allowed to view links. Register or Login dalam ilmu You are not allowed to view links. Register or Login.   Konstanta ini melambangkan rapatnya You are not allowed to view links. Register or Login You are not allowed to view links. Register or Login   dalam suatu You are not allowed to view links. Register or Login   bila diberi You are not allowed to view links. Register or Login. Konstanta dielektrik merupakan perbandingan You are not allowed to view links. Register or Login yang tersimpan pada bahan tersebut jika   diberi sebuah potensial, relatif terhadap You are not allowed to view links. Register or Login (ruang   hampa).
Konstanta dielektrik dilambangkan dengan You are not allowed to view links. Register or Login εr atau   kadang-kadang κ, K, atau Dk. Secara   matematis konstanta dielektrik suatu bahan didefinisikan sebagai
 \varepsilon_{r} =   \frac{\varepsilon_{s}}{\varepsilon_{0}}  dimana εs merupakan You are not allowed to view links. Register or Login   statis dari bahan tersebut, dan ε0 adalah You are not allowed to view links. Register or Login/. Permitivitas vakum diturunkan dari You are not allowed to view links. Register or Login dengan menghubungkan intensitas You are not allowed to view links. Register or Login E dengan You are not allowed to view links. Register or Login D. Di vakum (ruang hampa), permitivitas ε   sama dengan ε0, jadi konstanta dielektriknya adalah   1.
Permitivitas relatif dari sebuah medium berhubungan dengan You are not allowed to view links. Register or Login, χe   melalui persamaan
 \varepsilon_r = 1 + \chi_e.
Rizal Munadi
Rizal Munadi

 
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