Define resistivity of a material .A cyclinder of a material if 10 cm long and a cross section of 2sq.cm .If its resistance alongvthe length be 20ohm what will be resisivity in number and units?

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Solution

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$R = ρ \times \frac{l}{A} r e s i s t i v i t y o f a m a t e r i a l i s d e f i n e d a s t h e r e s i s \tan c e o f f e r e d p e r u n i t l e n g t h a n d p e r u n i t c r o s s s e c t i o n a l a r e a o f t h e m a t e r i a l . 20 = ρ \times \frac{10 c m}{2 c m^{2}} 20 = ρ \times \frac{10}{2 c m} (\frac{20}{5}) Ω \times c m = ρ ρ = 4 Ω c m R e g a r d s$

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