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In the figure, two metal wires of identical dimension are connected in series. Find the equivalent resistance.
- Req = l / σ1A + l / σ2A
- Req = 2l / σeqA
- σeq = 2σ1σ2 / σ1 + σ2
- σeq = σ1σ2 / σ1 + σ2
Correct answer: Req = 2l / σeqA
Solution
When two resistors are connected in series, their resistances add up. The resistance of a wire is given by R = l / (σA). For two wires in series, the equivalent resistance is Req = l / σ1A + l / σ2A, which simplifies to Req = 2l / σeqA.
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