Series and Parallel Combinations of Resistors

Circuit elements are connected in series when a common current passes through each element. The equivalent resistance of a combination of resistors connected in series is given by summing the voltage drops across each resistor.

If , where are all the other resistors than ; the largest resistor wins.

Circuit elements are connected in parallel when a common voltage is applied across each element. The equivalent resistance of a combination of resistors connected in parallel is given by summing the current through each resistor

If , where are all the other resistors than ; the smallest resistor wins.

The following ``divider'' circuits are useful combinations of resistors. Believe it or not, they are a super useful concept that will often be used in one form or another; learn it.

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