Answer to Question #251486 in Electrical Engineering for sike

Question #251486

A carbon resistor dissipates 60 W of power from a 120 V source at 20°C. How much power will be dissipated in the resistor at 120°C if connected across the same source? Assume the temperature coefficient of carbon at 20°C is -0.0005 per °


1
Expert's answer
2021-10-15T12:42:28-0400

"P=U^2\/R\\to R=U^2\/P=120^2\/60=240\\ (\\Omega)"


"R=R_0(1+\\alpha t) \\to240=R_0(1-0.0005\\cdot20) \\to"


"R_0=242.42\\ (\\Omega)"


"R_1=242.42\\cdot(1-0.0005\\cdot120)=227.87(\\Omega)"


"P_1=120^2\/227.87=63.2\\ (W)" . Answer


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