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When several resistors are connected in series, the current is the same in all resistors due to the conservation of loads. Therefore, in each resistance a potential drop equal to the electrical resistance multiplied by the current is experienced and whose sum must be the total potential difference. Therefore, the total resistance of a series of resistors is equal to the sum of these.

>Model

ID:(1396, 0)

Iframe

>Top

ID:(16030, 0)

Top

>Top

Parameters

$R_1$

R_1

Resistance 1

Ohm

$R_2$

R_2

Resistance 2

Ohm

$R_s$

R_s

Resistance in Series

Ohm

Variables

$I$

I

Current

A

$\Delta\varphi_1$

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:(16019, 0)

Equation

>Top, >Model

In the case of two resistors connected in series, the resistance in Series ($R_s$) is equal to the sum of the resistance 1 ($R_1$) and the resistance 2 ($R_2$). This relationship is expressed as:

$R_s = R_1 + R_2$

Conditions

Variables

$R_1$

Resistance 1

$Ohm$

5500

$R_2$

Resistance 2

$Ohm$

5501

$R_s$

Resistance in Series

$Ohm$

5498

Relation

Development

None

ID:(16004, 0)

Equation

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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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Traditional Ohm's law establishes a relationship between the potential difference ($\Delta\varphi$) and the current ($I$) through the resistance ($R$), using the following expression:

$\Delta\varphi = R_s I$

$\Delta\varphi = R I$

Conditions

Variables

$I$

Current

$A$

5483

$\Delta\varphi$

Potential difference

$V$

5477

$R$

$R_s$

Resistance in Series

$Ohm$

5498

Relation

Development

None

ID:(3214, 1)

Equation

>Top, >Model

Traditional Ohm's law establishes a relationship between the potential difference ($\Delta\varphi$) and the current ($I$) through the resistance ($R$), using the following expression:

$\Delta\varphi_1 = R_1 I$

$\Delta\varphi = R I$

Conditions

Variables

$I$

Current

$A$

5483

$\Delta\varphi$

$\Delta\varphi_1$

Difference of potential 1

$V$

5538

$R$

$R_1$

Resistance 1

$Ohm$

5500

Relation

Development

None

ID:(3214, 2)

Equation

>Top, >Model

Traditional Ohm's law establishes a relationship between the potential difference ($\Delta\varphi$) and the current ($I$) through the resistance ($R$), using the following expression:

$\Delta\varphi_2 = R_2 I$

$\Delta\varphi = R I$

Conditions

Variables

$I$

Current

$A$

5483

$\Delta\varphi$

$\Delta\varphi_2$

Difference of potential 2

$V$

5539

$R$

$R_2$

Resistance 2

$Ohm$

5501

Relation

Development

None

ID:(3214, 3)