The constant resistance of a resistor is 30 ohms, independent of the temperature. The resistor is made up of an aluminium resistor with resistance R1 at 0°C in series with a carbon resistor with resistance R2 at 0°C. Evaluate R1 and R2, temperature coefficient for aluminum and carbon are 3.9×10^-3°C^-1 and -0.50×10^-3°C^-1

1 answer

changeinR1+changeinR2=0
3.8E-3(dT*X-.5E-3*dT*(30-x)=0

dT divides out, as E-3
3.8x-.5(-x)=.5*30 check that
x(3.8+.5)=.5(30)
x= 3.448 ohms R2=30-3.448 ohms