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The filament of a lightbulb has a resistance of R0=12Ω at 20 ∘C and 140 Ω when hot. Part APart complete Part B In this temperature range, what is the percentage change in resistance due to thermal expansion? Express your answer using two significant figures. Rexpansion−R0R0R e x p a n s i o n − R 0 R 0 = 1100 %

Respuesta :

Answer:

T = 2390 degree C

Explanation:

Given data:

Resistance 12 ohm

Temperature 20 degree C

[tex]Resistance _{HOT} = 140 ohm[/tex]

we know that linear relation between the resistance and temperature is given as[tex]R = R_O[ 1+ \alpha ( T - T_o)][/tex]

where [tex]R_O[/tex] is resistance at [tex]_o,[/tex] and [tex]\alpha[/tex] = coefficient of resistivity

[tex]140 = 12 \times ( 1 + 0.0045 \Delta T}[/tex]

SOLVING FOR [tex]\Delta T[/tex]

[tex]\Delta T = 2370[/tex] degree C

WE KNOW

[tex]\Delta T = T - T_o[/tex]

T = 2370 + 20

T = 2390 degree C