Answer to Question #26733 in Electric Circuits for mariz conde

Question

a certain conductor has a resistance of 10 ohms at 20 degree C and increased to 11.35 ohms at a certain temperature. if temperature coefficient based on 20 degree C is 40 x 10 E -4 / C degree, find the final temperature

Answer 1

a certain conductor has a resistance of 10 ohms at 20 degree C and increased
to 11.35 ohms at a certain temperature. if temperature coefficient based on
20 degree C is 40 x 10 E -4 / C degree, find the final temperature

As the resistance difference of a conductor is

& Delta;R = 11.35[Ω] - 10[Ω] = 1.35[Ω]

the temperature difference is

& Delta;t = 1.35[Ω] / 0.0040 [Ω/°C] = 337.5[°C].

Therefore, the final temperature of a conductor is

T = 20[°C] + 337.5[°C] = 357.5[°C].