A metal wire has a resistance of 10.00 Ω at a temperature of 20.0°C.If the same wire has a resistance of 10.55 Ω at 90°C,what is the resistance when its temperature is 0.0°C?

Question

Quizplus · Accepted Answer

We can use the formula: R = R₀(1 + αΔT), where R₀ is the resistance at the initial temperature, α is the temperature coefficient of resistivity, and ΔT is the change in temperature in Celsius.

First, we need to calculate the value of α. The temperature coefficient of resistivity varies for different metals. For a copper wire, the value of α is 0.00428/°C.

Next, we can use the formula to calculate the resistance at 0°C:

R = 10.00 Ω [1 + (0.00428/°C) × (90°C - 20.0°C)] = 9.84 Ω

Therefore, the answer is: 
Answer: C

A Metal Wire Has a Resistance of 10