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derive an expression for conductivity in terms of resistivity using ohm's law

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Solution

$A c c o r d i n g t o t h e n o h m s l a w; R e s i s \tan c e o f t h e c o n d u c t o r h a v i n g l e n g t h l a n d a r e a A i s g i v e n b y : R = \frac{ρ L}{A} r e s i s t i v i t y i s i n v e r s l e y p r o p o r t i o n a l t o t h e c o n d u c t i v i t y h e n c e ρ = \frac{1}{σ} w h e r e σ i s t h e c o n d u c t i v i t y .$

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