Series and Parallel Circuits Handout

H)   Series and Parallel circuits

1)    Series circuit - circuit that has only one current path

 

Reference Table Equations

 

a) I T  =

 

 

 

 

b) R T  =

 

 

 

 

c)

 

 

d) V T  =

 

 

 

Find the total current (I T)

 

 

 

 

Answer : 

 

 

 

2)    Parallel Circuit - circuit in which each component has its own circular path


a)   I T  =

 

 

For example If    I 1  = 2 amps,  I 2 = 3 amps    I 3 = 4 amps

 

Then ….  I T = _______amps

 

b)  

 

 

                *** Write in the correct voltages in the picture above

 

c)

*** Use the above equations to find the current going through the first and second resistor

 

I1 = __________

I2 = __________

 

****If the total current in this circuit is 18 amps, what is the current going through the last resistor?     

 

****What’s R3 ? _______________               

 

 

 

Finding Total Resistance in a Parallel Circuit

Deriving an Equation for Total Resistance

Since IT  =

Then …

                        

               

                          On Reference Table

                               

                                

 

 

                        RT   - total Resistance is also called

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Find the total Resistance for three resistors of 2 ohms, 5 ohms and 2 ohms connected in parallel.

 

                                                 1.  Substitute

                                                     

 

2. Find common denominator and solve