CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Two wires of resistance R1 and R2 at 0 C have temperature coefficient of resistance α1 and α2 respectively.These are joined in series.The effective temperature coefficient of resistance is:-

A
α1+α22
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
α1α2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
α1R1+α2R2R1+R2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
R1R2α1α2R21+R22
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C α1R1+α2R2R1+R2
R=Rref[1+α(TTref)] where,
R=conductor resistance at temperature T
Rref=conductor resistance at reference temperature e.g 0°C
α=Temperature coefficient of resistance.
Tref=Reference temperature.
When connected in series: R1+R2=R
R1[1+α1(T0)]+R2[1+α2(T0)]=(R1+R2)[1+α(T0)]

R1+R1α1T+R2+R2α2TR1+R2=1+αT

αT=R1+R2+R1α1T+R2α2TR1R2R1+R2
α=R1α1+R2α2R1+R2

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Building a Thermometer
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon