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:

$R\_\; \{total\}\; =\; R\_1\; +\; R\_2\; +\; \backslash \; cdots\; +\; R\_n$

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

$U\_\; \{total\}\; =\; U\_1\; +\; U\_2\; +\; \backslash \; cdots\; +\; U\_n$ $I\_\; \{total\}\; =\; I\_1\; =\; I\_2\; =\; \backslash \; cdots\; =\; I\_n$

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

$U\_\; \{total\}\; =\; R\_1\; I\; +\; R\_2\; I\; +\; \backslash \; cdots\; +\; R\_n\; I$
$\backslash \; frac\; \{total\; U\_\; \{\}\}\; \{I\}\; =\; R\_1\; +\; R\_2\; +\; \backslash \; cdots\; +\; R\_n$
$R\_\; \{total\}\; =\; R\_1\; +\; R\_2\; +\; \backslash \; cdots\; +\; R\_n$

Inductances

For a connection of inductances in series:

Total inductance is equal to:

$L\_\; \{total\}\; =\; L\_1\; +\; L\_2\; +\; \backslash \; cdots\; +\; L\_n$

Condensers

For a connection of series condensers:

Full capacity is equal to:

$\{1\; \backslash \; over\; \{total\; C\_\; \{\}\}\}\; =\; \{1\; \backslash \; over\; \{C\_1\}\}\; +\; \{1\; \backslash \; over\; \{C\_2\}\}\; +\; \backslash \; cdots\; +\; \{1\; \backslash \; over\; \{C\_n\}\}$

See too

• Electrical circuit
• Parallele circuit

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