If the resistance of a conductor is 95 ohms at 23 degrees C and 115 ohms at 71 degrees C, what is its temperature coefficient of resistivity

Respuesta :

Answer:

226 Per/ deg c

Explanation:

We know that

[tex]Rt = R1 *(1 + T1 * DT)[/tex]

Here

R1 =  Resistance at the room temperature = 95 ohms

Rt= Resistance of the final temperature = 115 ohms

T1 = Temperature coefficient  

Putting these value in the previous equation we get

[tex]115 = 95 *(1 + T1 * (71-23))[/tex]

[tex]115=95*(1+48T1)[/tex]

[tex]115=95 +4560T1[/tex]

[tex]20=4520T1[/tex]

[tex]T1=\frac{4520}{20}[/tex]

T1=226 per Deg C