The electric eield ($E$), together with the electron Charge ($e$), generates a force that, through the mass of the electron ($m_e$), results in the acceleration of charge in the conductor ($a$). This relationship can be expressed as:

(ID 3843)

The conductance ($G$) is defined as the inverse of the resistance ($R$). This relationship is expressed as:

(ID 3847)

The resistivity ($\rho_e$) is defined as the inverse of the conductivity ($\kappa_e$). This relationship is expressed as:

(ID 3848)

Dado que con concentration of ions i $mol/m^3$, conductivity $1/Ohm m$ and molar conductivity ions of type i $m^2/Ohm mol$

se tiene que para el caso de un ion es con concentration of ions i $mol/m^3$, conductivity $1/Ohm m$ and molar conductivity ions of type i $m^2/Ohm mol$:

(ID 3216)

The current ($I$) can be calculated from the electric eield ($E$), in combination with the electron Charge ($e$), the charge concentration ($c$), the mass of the electron ($m_e$), the time between collisions ($\tau$), and the section of Conductors ($S$), using the following relationship:

(ID 3837)

La distancia entre los extremos del conductor, a lo largo de este, dan la distancia sobre la cual esta actuando la diferencia de potencial. Si los extremos se encuentran en x_1 y x_2 la distancia con ser

(ID 3846)

The electric eield ($E$) is generated by the potential difference ($\Delta\varphi$) between two electrodes, separated by a distance of a conductor length ($L$). This value can be calculated using the following expression:

(ID 3838)

The parallel connection of the hydraulic conductance 1 ($G_{h1}$), and the hydraulic conductance 2 ($G_{h2}$) results in an equivalent combination of the parallel total hydraulic conductance ($G_{pt}$):

(ID 3856)

The parallel connection of the hydraulic conductance 1 ($G_{h1}$), the hydraulic conductance 2 ($G_{h2}$), and the hydraulic conductance 3 ($G_{h3}$) results in an equivalent combination of the parallel total hydraulic conductance ($G_{pt}$):

(ID 3857)

The series combination of the hydraulic conductance 1 ($G_{h1}$) and the hydraulic conductance 2 ($G_{h2}$) results in a total sum of the total Series Hydraulic Conductance ($G_{st}$):

(ID 3860)

The series combination of the hydraulic conductance 1 ($G_{h1}$), the hydraulic conductance 2 ($G_{h2}$) and the hydraulic conductance 3 ($G_{h3}$) results in a total sum of the total Series Hydraulic Conductance ($G_{st}$):

(ID 3861)

Given that

In the case of two types of ions, it is:

(ID 3850)

Given that

In the case of three types of ions, it is:

(ID 3851)

Given that

In the case of two types of ions, it is:

(ID 3852)

Given that

In the case of two types of ions, it is:

(ID 3853)

In a time between collisions ($\tau$), the electron is accelerated by the electric eield ($E$), in combination with the electron Charge ($e$) and the mass of the electron ($m_e$), until it reaches the maximum Speed ($v_{max}$). This process is described by the following relationship:

(ID 3836)

If the current ($I$) is expressed using the potential difference ($\Delta\varphi$) instead of the electric eield ($E$), the microscopic form of Ohm's law is obtained. This equation involves the electron Charge ($e$), the charge concentration ($c$), the mass of the electron ($m_e$), the time between collisions ($\tau$), the section of Conductors ($S$), and the conductor length ($L$), through the following relationship:

(ID 3839)

Traditional Ohm's law establishes a relationship between the potential difference ($\Delta\varphi$) and the current ($I$) through the resistance ($R$), using the following expression:

(ID 3214)

Si los extremos del conductor est n a los potenciales \varphi_1 y \varphi_2 existir con una diferencia de potencial igual a

(ID 3845)

Using the resistivity ($\rho_e$) along with the geometric parameters the conductor length ($L$) and the section of Conductors ($S$), the resistance ($R$) can be defined through the following relationship:

(ID 3841)

Al conectarse resistencias R_i en serie en cada una ocurrir una ca da de potencial \Delta\varphi_i cuya suma ser igual a la diferencia de potencial total

$\Delta\varphi=\displaystyle\sum_i \Delta\varphi_i$

Como la corriente I es igual en todas las resistencias la ley de Ohm en la i-esima resistencia ser

$\Delta\varphi_i=R_i I$

Si se reemplaza esta expresi n en la suma de las diferencias de potencial se obtiene

$\Delta\varphi=\displaystyle\sum_i R_iI$

por lo que la resistencia en serie se calcula como la suma de las resistencias individuales con :

(ID 3215)

From the microscopic form of Ohm's law, a factor specific to the material of the conductor can be identified. This allows the resistivity ($\rho_e$) to be defined in terms of the electron Charge ($e$), the charge concentration ($c$), the mass of the electron ($m_e$), and the time between collisions ($\tau$), using the following relationship:

(ID 3840)

The parallel combination of the hydraulic Resistance 1 ($R_{h1}$) and the hydraulic Resistance 2 ($R_{h2}$) results in a total equivalent of the total hydraulic resistance in series ($R_{st}$):

(ID 3858)

The parallel combination of the hydraulic Resistance 1 ($R_{h1}$), the hydraulic Resistance 2 ($R_{h2}$), and the hydraulic Resistance 3 ($R_{h3}$) results in a total equivalent of the total hydraulic resistance in series ($R_{st}$):

(ID 3859)

The series combination of the hydraulic Resistance 1 ($R_{h1}$) and the hydraulic Resistance 2 ($R_{h2}$) results in a total sum of the total hydraulic resistance in series ($R_{st}$):

(ID 3854)

The series combination of the hydraulic Resistance 1 ($R_{h1}$), the hydraulic Resistance 2 ($R_{h2}$) and the hydraulic Resistance 3 ($R_{h3}$) results in a total sum of the total hydraulic resistance in series ($R_{st}$):

(ID 3855)

Como la conductividad es proporcional a la concentraci n de los iones

se puede definir una conductividad total como la suma de las conductividades de los distintos iones. Con la definici n de la conductividad molar

se tiene que

(ID 3849)

(ID 772)