Two metal wires of identical dimension are connected in series. If σ₁ and σ₂ are the conductivities of the metal wires respectively, the effective conductivity of the combination is:
(a) ![\frac{\sigma_{1}+\sigma_{2}}{2\sigma_{1}\sigma_{2}} \frac{\sigma_{1}+\sigma_{2}}{2\sigma_{1}\sigma_{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csigma_%7B1%7D%2B%5Csigma_%7B2%7D%7D%7B2%5Csigma_%7B1%7D%5Csigma_%7B2%7D%7D)
(b) ![\frac{\sigma_{1}+\sigma_{2}}{\sigma_{1}\sigma_{2}} \frac{\sigma_{1}+\sigma_{2}}{\sigma_{1}\sigma_{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csigma_%7B1%7D%2B%5Csigma_%7B2%7D%7D%7B%5Csigma_%7B1%7D%5Csigma_%7B2%7D%7D)
(c) ![\frac{\sigma_{1}\sigma_{2}}{\sigma_{1}+\sigma_{2}} \frac{\sigma_{1}\sigma_{2}}{\sigma_{1}+\sigma_{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csigma_%7B1%7D%5Csigma_%7B2%7D%7D%7B%5Csigma_%7B1%7D%2B%5Csigma_%7B2%7D%7D)
(d)
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find dimension of A × B in relation
find dimension of A × B in relation
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