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Resistance

at what tempe...

Question

at what temperature would the resistance of a copper conductor be double its resistance at 0*C. does this temperature hold for all copper conductors regardless of shape and size

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Solution

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$R e s i s \tan c e a t t e m p e r a t u r e t i s R (t) = R_{0} (1 + α \times ∆ T) A c c o r d i n g t o q u e s t i o n 2 R_{o} = R_{o} (1 + α \times ∆ T) 2 = (1 + α \times ∆ T) 1 = 4 \times 10^{- 3} ∆ T ∆ T = \frac{1}{4 \times 10^{- 3}} = \frac{1000}{4} = 250 ° C T h e a b o v e f o r m u l a h o l d s f o r t h e c o n d u c t o r w h o s e c r o s s s e c t i o n a l a r e a r e m a i n s c o n s \tan t . R e g a r d s$

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