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Answer to Question #162172 in Electric Circuits for Kyla Nickles
Question #162172
A tungsten filament lamp has a resistance of 11.8 ohms at 20 degrees Celsius. Determine its resistance at 2500 degrees Celsius
Expert's answer
Calculate the value of the difference in the temperature.
"\u0394T = T_2 -T_1 \\\\\n\n= 2500 -20 \\\\\n\n= 2480 \\;\u00baC"
Consider the expression for the new value of the temperature due to increase in the temperature.
"R_2 =R_1(1 + \u03b1\u0394T) \\\\\n\n= 11.8 (1 + 0.0045 \\times 2480) \\\\\n\n= 11.8 (1 +11.16) \\\\\n\n= 11.8 \\times 12.16 \\\\\n\n= 143.5 \\;\u2126"
Answer: 143.5 Ω
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