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In the case of series capacitance, the applied potential difference generates the same load on all plates, alternating only the sign of these. With this, each capacitance is under a different potential difference whose sum is equal to the potential difference applied. Since the potential differences are equal to the load divided by the capacitance, the inverse of the total capacitance is equal to the sum of the inverses of each capacitance.

>Model

ID:(1393, 0)

Iframe

>Top

ID:(16036, 0)

Top

>Top

Parameters

$C_1$

C_1

Capacity 1

pF

$C_2$

C_2

Capacity 2

pF

$C_s$

C_s

Sum capacity in serie

pF

Variables

$Q$

Q

Charge

C

$\Delta\varphi_1$

Dphi_1

Difference of potential 1

V

$\Delta\varphi_2$

Dphi_2

Difference of potential 2

V

$\Delta\varphi$

Dphi

Potential difference

V

Calculations

• Alternative method
• Traditional method
• Strategy
• 2D
• 3D

Equation

Number

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

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Calculations

Symbol

Equation

Solved

Translated

Calculations

Symbol

Equation

Solved

Translated

Variable Given Calculate Target : Equation To be used

Equations

ID:(16025, 0)

Equation

>Top, >Model

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:

$\Delta\varphi = \Delta\varphi_1 + \Delta\varphi_2$

Conditions

Variables

$\Delta\varphi_1$

Difference of potential 1

$V$

5538

$\Delta\varphi_2$

Difference of potential 2

$V$

5539

$\Delta\varphi$

Potential difference

$V$

5477

Relation

ID:(16012, 0)

Equation

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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:

$\displaystyle\frac{1}{ C_s }=\displaystyle\frac{1}{ C_1 }+\displaystyle\frac{1}{ C_2 }$

Conditions

Variables

$C_1$

Capacity 1

$F$

5506

$C_2$

Capacity 2

$F$

5507

$C_s$

Sum capacity in serie

$F$

5510

Relation

ID:(3869, 0)

Equation

>Top, >Model

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:

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

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

Conditions

Variables

$C$

$C_s$

Sum capacity in serie

$F$

5510

$Q$

Charge

$C$

5459

$\Delta\varphi$

Potential difference

$V$

5477

Relation

ID:(3864, 1)

Equation

>Top, >Model

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:

$\Delta\varphi_1 =\displaystyle\frac{ Q }{ C_1 }$

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

Conditions

Variables

$C$

$C_1$

Capacity 1

$F$

5506

$Q$

Charge

$C$

5459

$\Delta\varphi$

$\Delta\varphi_1$

Difference of potential 1

$V$

5538

Relation

ID:(3864, 2)

Equation

>Top, >Model

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:

$\Delta\varphi_2 =\displaystyle\frac{ Q }{ C_2 }$

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

Conditions

Variables

$C$

$C_2$

Capacity 2

$F$

5507

$Q$

Charge

$C$

5459

$\Delta\varphi$

$\Delta\varphi_2$

Difference of potential 2

$V$

5539

Relation

ID:(3864, 3)