Find the effective resistance between a and b


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. Find the effective resistance between A and B.

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Answer:

Explanation:

Find the effective resistance between A and B.

Top Most Picture

3    1 Ω  Resistance in Parallel

so Net resistance of  3    1 Ω  Resistance in Parallel =  1/(1/1 + 1/1  + 1/1)  = 1/3

Resistance between A & B = 1/3 + 1 + 1/3  = 7/3 Ω

7/3 Ω

Middle Picture

3 Ω & 3 Ω are in series = 6Ω

Then 6Ω &  6Ω are in Parallel

so Resistance between A & B = 1/(1/6 + 1/6)  = 6/2 = 3Ω

Bottom one Picture

2 Ω & 2 Ω are in Parallel = 1/(1/2 + 1/2)  = 1Ω

so Resistance between A & B = 1 + 1 + 2 = 4Ω


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