Parallel capacities (3)
Storyboard
In the case of parallel capacitances the potential difference applied is equal for all the capacited. As the potential differences are equal to the load divided by the capacitance, the charge of each capacitance is equal to the product of the potential difference by the capacitance . Being the total load equal to the sum of the loads in each capacitance, it is obtained that the total training is equal to the sum of the individual trainings.
ID:(2125, 0)
Model
Top
Parameters
Variables
Calculations
Calculations
Calculations
Equations
$ C_p = C_1 + C_2 + C_3 $
C_p = C_1 + C_2 + C_3
$ \Delta\varphi =\displaystyle\frac{ Q }{ C_p }$
Dphi = Q / C
$ \Delta\varphi =\displaystyle\frac{ Q_1 }{ C_1 }$
Dphi = Q / C
$ \Delta\varphi =\displaystyle\frac{ Q_2 }{ C_2 }$
Dphi = Q / C
$ \Delta\varphi =\displaystyle\frac{ Q_3 }{ C_3 }$
Dphi = Q / C
$ Q = Q_1 + Q_2 + Q_3 $
Q = Q_1 + Q_2 + Q_3
ID:(16022, 0)
Sum of parallel capacities (3)
Equation
The sum capacity in parallel ($C_p$) is obtained by adding the capacity 1 ($C_1$), the capacity 2 ($C_2$) and the capacity 3 ($C_3$), which can be expressed as:
$ C_p = C_1 + C_2 + C_3 $ |
ID:(3867, 0)
Sum of loads (3)
Equation
By the principle of charge conservation, the charge ($Q$) is equal to the sum of the charge 1 ($Q_1$),the charge 2 ($Q_2$) and the charge 3 ($Q_3$). This relationship is expressed as:
$ Q = Q_1 + Q_2 + Q_3 $ |
ID:(16018, 0)
Equation of a capacitor (1)
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:
$ \Delta\varphi =\displaystyle\frac{ Q }{ C_p }$ |
$ \Delta\varphi =\displaystyle\frac{ Q }{ C }$ |
ID:(3864, 1)
Equation of a capacitor (2)
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:
$ \Delta\varphi =\displaystyle\frac{ Q_1 }{ C_1 }$ |
$ \Delta\varphi =\displaystyle\frac{ Q }{ C }$ |
ID:(3864, 2)
Equation of a capacitor (3)
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:
$ \Delta\varphi =\displaystyle\frac{ Q_2 }{ C_2 }$ |
$ \Delta\varphi =\displaystyle\frac{ Q }{ C }$ |
ID:(3864, 3)
Equation of a capacitor (4)
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:
$ \Delta\varphi =\displaystyle\frac{ Q_3 }{ C_3 }$ |
$ \Delta\varphi =\displaystyle\frac{ Q }{ C }$ |
ID:(3864, 4)