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AP EAMCET · PHYSICS · Current Electricity

Two metal wires of same length, same area of crosssection have conductivities of their material \(\sigma_1\) and \(\sigma_2\). If they are connected in series, the effective conductivity is

  1. A \(\frac{\sigma_1 \sigma_2}{\sigma_1+\sigma_2}\)
  2. B \(\frac{2 \sigma_1 \sigma_2}{\sigma_1+\sigma_2}\)
  3. C \(\frac{\sigma_1 \sigma_2}{\sigma_1-\sigma_2}\)
  4. D \(\frac{\sigma_1 \sigma_2}{\sigma_1-\sigma_2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{2 \sigma_1 \sigma_2}{\sigma_1+\sigma_2}\)

Step-by-step Solution

Detailed explanation

If they are connected in series, then…