Equivalent resistances The circuit in the drawing contains three identical resistors. Consider the equivalent resistance between the two points a and b, b and c, and a and c.

remolatg

remolatg

Answered question

2021-05-12

Equivalent resistances The circuit in the drawing contains three identical resistors. Consider the equivalent resistance between the two points a and b, b and c, and a and c. image

Answer & Explanation

coffentw

coffentw

Skilled2021-05-14Added 103 answers

Because the two resistors between points b and c are bothconnected to b and c on either side, they are in parallel. Thismeans their equivalent resistance is R*R/(R+R). The equivalentresistance between a and c is going to be the first resistor (inbetween a and b) in series with the other two, meaning it will beR+R*R/(R+R). The resistance between a and b is just going to beR.
I would suggest plugging in a number for R if you are easilyconfused by ratios, but just remember that resistors in parallelwill have a smaller resistance than if they are alone. So, toanswer your question, Rac is largest, then Rab, then Rbc.

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