A) \[{{K}_{1}}+{{K}_{2}}\]
B) \[\frac{{{K}_{1}}+{{K}_{2}}}{2}\]
C) \[\frac{2{{K}_{1}}{{K}_{2}}}{{{K}_{1}}+{{K}_{2}}}\]
D) \[\frac{{{K}_{1}}+{{K}_{2}}}{2{{K}_{1}}{{K}_{2}}}\]
Correct Answer: B
Solution :
In parallel combination equivalent conductivity \[K=\frac{{{K}_{1}}{{A}_{1}}+{{K}_{2}}{{A}_{2}}}{{{A}_{1}}+{{A}_{2}}}=\frac{{{K}_{1}}+{{K}_{2}}}{2}\] (As \[{{A}_{1}}={{A}_{2}}\])
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