Three resistors

You have to connect three identical resistors with 12 Ohm resistances so that you gradually get the resulting resistance a) 36 Ohm, b) 4 Ohm, 18 Ohm. Draw a diagram of each circuit.


a = (Correct answer is: SSS) Wrong answer
b = (Correct answer is: PPP) Wrong answer
c = (Correct answer is: SPP) Wrong answer

Step-by-step explanation:

R1=12 Ω  R2=R1+R1+R1=12+12+12=36 Ω  a=SSS
1/R3=1/R1+1/R1+1/R1=1/12+1/12+1/12=41=0.25  R3=1/(1/R1+1/R1+1/R1)=1/(1/12+1/12+1/12)=4 Ω  b=PPP
R4=R1+1/(1/R1+1/R1)=12+1/(1/12+1/12)=18 Ω  c=SPP

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