Series and Parallel Circuits ~different ways of wiring multiple resistors.

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Series and Parallel Circuits ~different ways of wiring multiple resistors

Series Circuits A circuit that offers only one path for current to flow A circuit that offers only one path for current to flow If one resistor blows out the rest of the circuit loses power. If one resistor blows out the rest of the circuit loses power. Because it is now open Because it is now open Resistor 1 Resistor 2

Resistance in series To find the total resistance of resistors in series add them. To find the total resistance of resistors in series add them. R t = R 1 +R 2 + R 3 … R t = R 1 +R 2 + R 3 … The total resistance of this circuit is… The total resistance of this circuit is… 22 44 44 =10 

Parallel Circuits A circuit that offers more than one path for current to flow. A circuit that offers more than one path for current to flow. If one resistor blows the rest of the circuit still receives power. If one resistor blows the rest of the circuit still receives power.

Resistance in parallel Total resistance in parallel is the inverse sum of the inverse of all resistors. Total resistance in parallel is the inverse sum of the inverse of all resistors. 1/R t = 1/R 1 +1/R 2 + 1/R 3 … 1/R t = 1/R 1 +1/R 2 + 1/R 3 … Find the total resistance of Find the total resistance of 2.0  4.0  =.80  1/R t = 1/2  +1/2  + ¼  1/R t = 5/4  R t = 4/5 

Compound circuits Most circuits are have both series and parallel parts to them Most circuits are have both series and parallel parts to them These are called compound circuits These are called compound circuits 2.0  4.0  2.0  4.0  R t = 2.0  R t = 3.3 