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.

>Model

ID:(2126, 0)

Iframe

>Top

ID:(16040, 0)

Top

>Top

Parameters

$C_1$

C_1

Capacity 1

pF

$C_2$

C_2

Capacity 2

pF

$C_3$

C_3

Capacity 3

pF

$C_p$

C_p

Sum capacity in parallel

pF

$C_s$

C_s

Sum capacity in serie

pF

Variables

$Q$

Q

Charge

C

$Q_1$

Q_1

Charge 1

C

$Q_2$

Q_2

Charge 2

C

$\Delta\varphi_1$

Dphi_1

Difference of potential 1

V

$\Delta\varphi_3$

Dphi_3

Difference of potential 3

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

---

Calculations

Symbol

Equation

Solved

Translated

Calculations

Symbol

Equation

Solved

Translated

Variable Given Calculate Target : Equation To be used

Equations

ID:(16029, 0)

Equation

>Top, >Model

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:

$\displaystyle\frac{1}{ C_s }=\displaystyle\frac{1}{ C_p }+\displaystyle\frac{1}{ C_3 }$

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

Conditions

Variables

$C_1$

$C_p$

Sum capacity in parallel

$F$

5511

$C_2$

$C_3$

Capacity 3

$F$

5508

$C_s$

Sum capacity in serie

$F$

5510

Relation

ID:(3869, 0)

Equation

>Top, >Model

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:

$C_p = C_1 + C_2$

Conditions

Variables

$C_1$

Capacity 1

$F$

5506

$C_2$

Capacity 2

$F$

5507

$C_p$

Sum capacity in parallel

$F$

5511

Relation

ID:(3866, 0)

Equation

>Top, >Model

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:

$Q = Q_1 + Q_2$

Conditions

Variables

$Q$

Charge

$C$

5459

$Q_1$

Charge 1

$C$

10502

$Q_2$

Charge 2

$C$

10503

Relation

ID:(16017, 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:

$\Delta\varphi = \Delta\varphi_1 + \Delta\varphi_3$

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

Conditions

Variables

$\Delta\varphi_1$

Difference of potential 1

$V$

5538

$\Delta\varphi_2$

$\Delta\varphi_3$

Difference of potential 3

$V$

10486

$\Delta\varphi$

Potential difference

$V$

5477

Relation

ID:(16012, 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:

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

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

Conditions

Variables

$C$

$C_p$

Sum capacity in parallel

$F$

5511

$Q$

Charge

$C$

5459

$\Delta\varphi$

$\Delta\varphi_1$

Difference of potential 1

$V$

5538

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:

$\Delta\varphi_1 =\displaystyle\frac{ Q_1 }{ C_1 }$

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

Conditions

Variables

$C$

$C_1$

Capacity 1

$F$

5506

$Q$

$Q_1$

Charge 1

$C$

10502

$\Delta\varphi$

$\Delta\varphi_1$

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:

$\Delta\varphi_1 =\displaystyle\frac{ Q_2 }{ C_2 }$

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

Conditions

Variables

$C$

$C_2$

Capacity 2

$F$

5507

$Q$

$Q_2$

Charge 2

$C$

10503

$\Delta\varphi$

$\Delta\varphi_1$

Difference of potential 1

$V$

5538

Relation

ID:(3864, 3)

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:

$\Delta\varphi_3 =\displaystyle\frac{ Q }{ C_3 }$

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

Conditions

Variables

$C$

$C_3$

Capacity 3

$F$

5508

$Q$

Charge

$C$

5459

$\Delta\varphi$

$\Delta\varphi_3$

Difference of potential 3

$V$

10486

Relation

ID:(3864, 4)

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, 5)