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1. Given 3 resistors, R1=1O, R2=2O, R3=3O... a. What is the equivalent resistanc

ID: 1698880 • Letter: 1

Question

1. Given 3 resistors, R1=1O, R2=2O, R3=3O...

a. What is the equivalent resistance, if they are connected in series?

Ceq=1+2+3=6O Is this correct??

b.If the 3 series resistors are connected to a 12V battery , what is the current through each resistor?

c. What is the voltage drop across each resistor?



2. Same as part 1 except resistors are in parallel.

a.What is equivalent resistance, if they are connected in parallel?

b.If the 3 parallel resitors are connected to a 12V battery, what is the current through each resistor?

c.What is the voltage drop across each resistor?

Explanation / Answer

 if the resistors are in series combination

   equivalent resistance  is 

          R _eq  = R1  + R2 + R3 

                    =  1 + 2+ 3 =  6

 current through each battery is same  

           V  = I  R _eq  

            I  = V  / R _ eq  =    12 / 6   = 2 A 

voltage drop across each resistor  is 

                 V1  = I R1  = 2*1  = 2 V

                   V2  = I  R2  = 2 * 2 = 4 V

                 V3  =  I R3   = 2 * 3  = 6 V

resistors  are in parallel com bination

    1  /  R _ eq   =   1 / R1  + 1 / R2  + 1 / R3

                       =  1 /   1  + 1 / 2  + 1/3 

                     Req  =  0.545 

voltage across each resistor  is same  

 current each resistor  is  

             I1  =  V  / R1  = 12 / 1  = 12 A

             I2  = V  / R2  =  12  / 2  = 6 A

              I3  = V  / R2   = 12  / 3  = 4 A