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Resistors in series
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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)


Series resistance (Diagram)
Description

The diagram representing resistors connected in series has the following form:

ID:(7862, 0)


Resistors in series (2)
Description

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.

Variables
Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$I$
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
$R_1$
R_1
Resistance 1
Ohm
$R_2$
R_2
Resistance 2
Ohm
$R_s$
R_s
Resistance in Series
Ohm

Calculations

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Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
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Equations

Examples


(ID 16030)


(ID 16019)

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 $

(ID 16004)

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 $

(ID 16012)

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 I $

(ID 3214)

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 I $

(ID 3214)

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 I $

(ID 3214)

ID:(1396, 0)