Question

the resistance of a conductor is 10 ohm at 50 degree celcius and 15 ohm at 100 degree celcius .calculate its resistance at 0 degree celcius. numerical problem

Answer 1

Answer:

Given: The resistance of a conductor at 20°

C is 3.15Ω and at 100°

C is 3.75Ω.

To find the temperature co-efficient of resistance of the conductor.

Solution:

Here R

20 =3.15,R 100 =3.75

We know that R t

=R 0(1+αt)where R 0

= resistance at 0° Cand R t

= resistance at t ∘C

α= temperature coefficient of resistance

Now,

R 20 =3.15=R 0(1+20α)....(i)

R 100=3.75=R 0 (1+100α)....(ii)

Dividing (i) and (ii), we get

R 0(1+100α)R 0(1+20α)= 3.753.15

⟹3.75(1+20α)=3.15(1+100α)

⟹3.75+75α=3.15+315α

⟹240α=0.6

⟹α=0.0025°C −1

From equation(i) ,R 0 = 1+20α3.15

⟹R 0= 1+20(0.0025)3.15

⟹R 0 = 1+0.053.15

⟹R 0=3Ω

is the temperature co-efficient of resistance of the conductor.

Explanation:

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