Use of Capacities

Storyboard

Capacitance are short-distance metal plates that can be charged by connecting to a potential difference. In this way there is a plate with negative charges (electrons) and the other positive (lack of electrons so that the positive charges of the conductor structure predominate) that are held in place by the attraction between charges of different signs. Once both poles are connected by means of a conductor, current flows until it is completely discharged, the load being equalized on both plates.

>Model

ID:(816, 0)



Two plates with opposite charges

Definition

In the case of two plates with opposite charges there is a field of greater intensity between them. However, there is a minor field that can be described with field lines that emerge from one of the plates and return by giving an external turn to the opposite plate:

ID:(11454, 0)



Use of Capacities

Storyboard

Capacitance are short-distance metal plates that can be charged by connecting to a potential difference. In this way there is a plate with negative charges (electrons) and the other positive (lack of electrons so that the positive charges of the conductor structure predominate) that are held in place by the attraction between charges of different signs. Once both poles are connected by means of a conductor, current flows until it is completely discharged, the load being equalized on both plates.

Variables

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$C$
C
Capacitor capacity
F
$Q$
Q
Charge
C
$\epsilon$
epsilon
Dielectric constant
-
$d$
d
Distance between plates
m
$\Delta\varphi$
Dphi
Potential difference
V
$S$
S
Surface plates
m^2

Calculations


First, select the equation:   to ,  then, select the variable:   to 

Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used



Equations


Examples

In the case of two plates with opposite charges there is a field of greater intensity between them. However, there is a minor field that can be described with field lines that emerge from one of the plates and return by giving an external turn to the opposite plate:

image

Si se define una superficie que pasa entre las placas y rodea la carga Q se puede aplicar la ley de Gauss para calcular el campo que se forma entre las placas. Si se asume que el campo solo existe entre las dos placas y estas tienen una superficie S se obtiene que

$E_dS=\displaystyle\frac{Q}{\epsilon\epsilon_0}$



con \epsilon_0 la constante de campo y \epsilon el n mero diel ctrico.

Como por otro lado el campo es igual a la diferencia de potencial \Delta\varphi partido por la distancia entre las placas d se obtiene

$\Delta\varphi = \displaystyle\frac{\sigma}{\epsilon\epsilon_0}d=E_dd=\displaystyle\frac{Q}{\epsilon\epsilon_0}\displaystyle\frac{d}{S}$



se obtiene con la definici n

$\Delta\varphi=\displaystyle\frac{Q}{C}$



que la capacidad de dos placas se puede calcular con list

equation

The potential difference ($\Delta\varphi$) generates the charge in the capacitor, inducing the charge ($Q$) on each side (with opposite signs), depending on the capacitor capacity ($C$), according to the following relationship:

kyon


>Model

ID:(816, 0)