Question

The ratio of the resistance of
conductor at temperature 15°C to its
resistance at temperature 37.5°C is 4
:5. The temperature coefficient of
resistance of the conductor is?​

Answer 1

Answer:

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Answer 2

Given :

The ratio of resistance of conductor at temperature 15°C to its temperature at 37.5°C is 4:5.

To Find :

Temperature coefficient of resistance of the conductor.

Solution :

★ We know that, resistance of a conductor depends on the length of conductor, area of cross section and temperature of surrounding$.$

Formula : R' = R(1 + αT)

• R' denotes resistance of conductor at T temperature
• α denotes coefficient of resistance

1. Resistance at 15°C :

• 4x = R(1 + 15α)

2. Resistance at 37.5°C :

• 5x = R(1 + 37.5α)

By taking ratio, we get

➠ 4x / 5x = (1 + 15α) / (1 + 37.5α)

➠ 4 + 150α = 5 + 75α

➠ 75α = 1

➠ α = 1/75

➠ α = 0.013 °C‾¹