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Why is it that the total resistance is less than the smallest resistive value?
Wiki User
∙ 11y ago
This is because of the rule for calculating total resistance of parallel resistors. 1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ....
Let us take two resistors in parallel. R1 = 100 ohms and R2 = 330 ohms.
From the general formula above we can calculate our total resistance as follows:
1/Rtotal = 1/R1 + 1/R2
1/Rtotal = 1/100 + 1/330
multiply 1/ R1 by 3.3/3.3
1/Rtotal = 3.3/330 + 1/330
1/Rtotal = 4.3/330
invert both sides
Rtotal = 330/4.3
Rtotal = 76.744.....ohms
Now let's consider a much closer example, R1 = 100 ohms and R2 = 110 ohms.
From the general formula above we can calculate our total resistance as follows:
1/Rtotal = 1/R1 + 1/R2
1/Rtotal = 1/100 + 1/110
multiply 1/ R1 by 1.1/1.1
1/Rtotal = 1.1/110 + 1/110
1/Rtotal = 2.1/110
invert both sides
Rtotal = 110/2.1
Rtotal = 52.38.....ohms
Wiki User
∙ 11y ago
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