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The Resistance of a conductor is 6 at 60 and 8 at 90 find it's Resistance at o​

User Javier Parra
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1 Answer

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19 votes

The resistance of a conductor at 0 is 4 ohm


What is resistance?

Resistance is opposition to the flow of current. The S I unit is ohm


the formular for resistance at a particular temperature T is RT = ( 1 + αT ) R

α = material constant

R=resistance at Zero degree Celsius.


At 50 degrees Celsius we have

R50 = ( 1 + 50 α ) R = 5 ohm

At 100 degrees Celsius we have

R100 = ( 1 + 100 α ) R = 6 ohm


At zero degrees Celsius we have

R0 = (1 + 0 ) R0 = R (3)

Solving for α

( 1 + 50 α ) / ( 1 + 100 α ) = 5 / 6

6 + 300 α = 5 + 500 α
6 - 5 = 500 α - 300 α

α = ( 1 / 200 )


substituting to solve for R we have:

( 1 + 50 α ) R = 5
( 1 + 50 * 1 / 200 ) R = 5

( 1 + 0.25 ) R = 5

R = 5 / 1.25

R = 4

Since R0 = R = resistance at 0∘C

So resistance 0 deg is 4 ohm.

User Fredcrs
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