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Capacitances in parallel and in series
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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:(2126, 0)
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Equations
$ C_p = C_1 + C_2 $
C_p = C_1 + C_2
$ \Delta\varphi = \Delta\varphi_1 + \Delta\varphi_3 $
Dphi = Dphi_1 + Dphi_2
$ \Delta\varphi_1 =\displaystyle\frac{ Q }{ C_p }$
Dphi = Q / C
$ \Delta\varphi_1 =\displaystyle\frac{ Q_1 }{ C_1 }$
Dphi = Q / C
$ \Delta\varphi_1 =\displaystyle\frac{ Q_2 }{ C_2 }$
Dphi = Q / C
$ \Delta\varphi_3 =\displaystyle\frac{ Q }{ C_3 }$
Dphi = Q / C
$ \Delta\varphi =\displaystyle\frac{ Q }{ C_s }$
Dphi = Q / C
$ Q = Q_1 + Q_2 $
Q = Q_1 + Q_2
$\displaystyle\frac{1}{ C_s }=\displaystyle\frac{1}{ C_p }+\displaystyle\frac{1}{ C_3 }$
1/ C_s =1/ C_1 +1/ C_2
ID:(16029, 0)
Sum of series capacities (2)
Equation
The inverse of the sum capacity in serie ($C_s$) is calculated as the sum of the inverses of the capacity 1 ($C_1$) and the capacity 2 ($C_2$), according to the following relationship:
| $\displaystyle\frac{1}{ C_s }=\displaystyle\frac{1}{ C_p }+\displaystyle\frac{1}{ C_3 }$ |
| $\displaystyle\frac{1}{ C_s }=\displaystyle\frac{1}{ C_1 }+\displaystyle\frac{1}{ C_2 }$ |
ID:(3869, 0)
Sum of parallel capacities (2)
Equation
The sum capacity in parallel ($C_p$) is obtained by adding the capacity 1 ($C_1$) and the capacity 2 ($C_2$), which can be expressed as:
| $ C_p = C_1 + C_2 $ |
ID:(3866, 0)
Sum of loads (2)
Equation
By the principle of charge conservation, the charge ($Q$) is equal to the sum of the charge 1 ($Q_1$) and the charge 2 ($Q_2$). This relationship is expressed as:
| $ Q = Q_1 + Q_2 $ |
ID:(16017, 0)
Sum of potential difference (2)
Equation
By the principle of energy conservation, the potential difference ($\Delta\varphi$) is equal to the sum of the difference of potential 1 ($\Delta\varphi_1$) and the difference of potential 2 ($\Delta\varphi_2$). This can be expressed through the following relationship:
| $ \Delta\varphi = \Delta\varphi_1 + \Delta\varphi_3 $ |
| $ \Delta\varphi = \Delta\varphi_1 + \Delta\varphi_2 $ |
ID:(16012, 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_1 =\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_1 =\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_1 =\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_3 =\displaystyle\frac{ Q }{ C_3 }$ |
| $ \Delta\varphi =\displaystyle\frac{ Q }{ C }$ |
ID:(3864, 4)
Equation of a capacitor (5)
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_s }$ |
| $ \Delta\varphi =\displaystyle\frac{ Q }{ C }$ |
ID:(3864, 5)