# Series circuit

A series circuit is a term used in electronic to indicate a Electrical circuit (or a branch of an electrical circuit), where components (resistances, condensers, generators, etc) belong to same the connects.

## Analyzes

In a series circuit, the same power is on through each electric component. Thus, the currents crossing each component are equal. I = I1 = I2 =… = In

### Resistances

For a connection of resistances in series:

The equivalent resistance (total) of the circuit is equal to:

$R_ \left\{total\right\} = R_1 + R_2 + \ cdots + R_n$

This equation can be shown while being based on the properties of the circuit:

$U_ \left\{total\right\} = U_1 + U_2 + \ cdots + U_n$
$I_ \left\{total\right\} = I_1 = I_2 = \ cdots = I_n$

By using the Law of Ohm and the two statements above:

$U_ \left\{total\right\} = R_1 I + R_2 I + \ cdots + R_n I$

$\ frac \left\{total U_ \left\{\right\}\right\} \left\{I\right\} = R_1 + R_2 + \ cdots + R_n$

$R_ \left\{total\right\} = R_1 + R_2 + \ cdots + R_n$

### Inductances

For a connection of inductances in series:

Total inductance is equal to:

$L_ \left\{total\right\} = L_1 + L_2 + \ cdots + L_n$

### Condensers

For a connection of series condensers:

Full capacity is equal to:

$\left\{1 \ over \left\{total C_ \left\{\right\}\right\}\right\} = \left\{1 \ over \left\{C_1\right\}\right\} + \left\{1 \ over \left\{C_2\right\}\right\} + \ cdots + \left\{1 \ over \left\{C_n\right\}\right\}$

## See too

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