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sugz
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Homework Statement
What is the equivalent resistance between points a and b in the Figure shown.
Homework Equations
Equivalent of two resistors (e.g R1 and R2)= R1*R2/(R1+R2)
Equivalent of two resistors (e.g R3 and R4) = R3+R4
The Attempt at a Solution
Step 1: 6, 12 and 4 ohm resistors are in parallel, which results to 2 ohms.
Step 2: the 2 ohm resistor and the 3 ohm resistor are in series, which results to 4 ohm.
Step 3: Now we have the following circuit.
This was slightly confusing. Since there is a short circuit parallel to the 10 ohm resistors, current will flow from point a through the 4 ohm resistor then through the 3 ohm resistor. The current will bypass the 10 ohm resistor and hence it will be ignored in the equivalent resistance calculation. 4 ohm in series with 3 ohm resistor = 7 ohms.
I know the answer is correct (7 ohm) but I would like to confirm my concept regarding the short circuit wire is correct.