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04. in series and in parallel

Resistors in Series

A resistor in series with another resistor will act like one bigger resistor.

The current through each resistor of the series is the same.

The voltage U_n through one resistor R_n of the series depends on the resistor itself in the following way:

U_1:U_2:...:U_n=R_1:R_2:...:R_n

All the resistors can be replaced by one resistor with resistance R_a from R_a:=R_1+R_2+...+R_n.

Resistors in Parallel

Each resistor in parallel with another resistor will always be used for some current.

The voltage over the parallel resistors is the same.

The current I_n through one resistor R_n of the series depends on the resistor itself in the following way:

I_1:I_2:...:I_n=÷{1}{R_1}:÷{1}{R_2}:...:÷{1}{R_n}

All the resistors can be replaced by one resistor with resistance R_a from ÷{1}{R_a}:=÷{1}{R_1}+÷{1}{R_2}+...+÷{1}{R_n}.

The total replacement resistor R_a which can be replace all the others will always be smaller than the smallest resistance of the set.

Author: Danny (remove the ".nospam" to send)

Last modification on: Thu, 09 May 2013 .