A copper conductor has the resistivity of 1.7micro ohm cm and has length of 1.5 km. It's resistance is 7.2ohm. Find the diameter of the conductor is mm

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Solution

$R e s i s \tan c e o f t h e c o n d u c t o r i s g i v e n b y : R = \frac{ρ l}{A} = \frac{ρ l}{π r^{2}} w h e r e ρ i s t h e r e s i s t i v i t y l i s t h e l e n g t h o f t h e c u n d u c t o r r i s t h e r a d i u s o f t h e c o n d u c t o r r^{2} = \frac{ρ l}{π R} o n s u b s i t u t i b n g t h e v a l u e w e g e t r = 1.06 m m d i a m e t e r o f t h e c o n d u c t o r = 2 r = 2.12 m m$

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A copper conductor has the resistivity of 1.7micro ohm cm and has length of 1.5 km. It's resistance is 7.2ohm. Find the diameter of the conductor is mm

Resistance of the conductor is given by:R = ρlA = ρlπr2where ρ is the resistivityl is the length of the cunductorr is the radius of the conductorr2 = ρlπRon subsitutibng the value we getr = 1.06 mmdiameter of the conductor = 2r = 2.12 mm