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介质电容和介质极化理论在介电常数中的对比
The Comparation between Medium Capacitance and Medium Polarization Theory on Dielectric Constant

DOI: 10.12677/CMP.2021.103010, PP. 80-86

Keywords: 介质,电容,介电常数,电桥,极化,时间常数,弛豫时间,偶极矩
Medium
, Capacitance, Dielectric Constant, Bridge, Polar, Time Constant, Relaxation Time, Dipole Moment

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Abstract:

介质能使电容增加的现象一直是用介质极化解释的,或称极化说。物探激电的一次二次电压现象说明了岩石具有电容,因而有介质电容理论,或称电容说。本文对比了两者共同点和差别,这对介质电性理论具有重要意义。电容说的复电容公式和Debye、Schweidler的介电常数公式在数学上一致,电容说充放电公式和Schweidler的弛豫函数数学上一致。但电容说的推导没有假设条件,而极化说推导有假设条件。极化说推导的假设条件在数学上实际上是电容说(公认的)电容充放电电压变化;电容说的充放电电流方向和事实一致,而极化说理论上的放电电流方向和事实相反;极化说在介质电容电桥法测定计算时存在介质电容和电阻并联假定条件,电容说则可利用改进的电桥电路验证介质电容不随频率改变;电容说解释了无极板状况下介质的一次二次电压现象,极化说没有解释这一现象。
The phenomenon of the capacitance increasing by the medium has been explained by dielectric polarization up to now, or polar origin. The medium capacitance theory has been established after rock capacitance had been found from the phenomenon of the first and second voltage in induced polarization in geophysical exploration. The article compared the common ground and the difference between the two theories, which is very important to the theory of medium electrical property. The complex capacitance formula of medium capacitance theory, the Debye and Schweidler formula, has no difference mathematically. The charging and discharging formula of the capacitance origin is the same as Schweidler relaxation formula mathematically. There is no assumption in the conduction of the capacitance origin formula, but there is an assumption in the conduction of the polar theory formula. The assumption of formula conduction in the polar origin is actually the well-known fact of the voltage changing during a capacitor charging and discharging, which is adopted by capacitance origin formula conduction. The direction of charging discharging current in capacitance origin fits the fact, but not the polar origin. During the testing and calculating medium capacitance procedure using bridge system, the polar origin has in fact assumed capacitor shunted with a resistor. According to the capacitance origin, there will be no changes of medium capacitance with frequency changing in the modified bridge circuit by capacitance origin. The capacitance origin has explained the first and second voltage in the medium with no electric plates, but not the polar origin.

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