Final answer:
The resistance of a nichrome wire at 0°C can be calculated using the temperature coefficient of resistance. The formula to find the resistance at 0°C is R0 = Rt(1 + αt), where R0 is the resistance at 0°C, Rt is the resistance at a given temperature t, and α is the temperature coefficient of resistance. By substituting the known values into the formula, you can calculate the resistance at 0°C.
Step-by-step explanation:
The resistance of a nichrome wire at 0°C can be calculated using the temperature coefficient of resistance. The temperature coefficient of resistance for nichrome is typically around 0.0004 per degree Celsius. To find the resistance at 0°C, you can use the formula: R0 = Rt(1 + αt), where R0 is the resistance at 0°C, Rt is the resistance at a given temperature t, and α is the temperature coefficient of resistance.
Let's assume the resistance of the nichrome wire at 20°C is known. We can use the given temperature coefficient of resistance to find the resistance at 0°C:
R0 = Rt(1 + αt)
For example, if the resistance at 20°C is 100 ohms and the temperature coefficient of resistance is 0.0004 per degree Celsius, we can substitute these values into the formula:
R0 = 100(1 + 0.0004(20 - 0))
Simplifying the equation:
R0 = 100(1 + 0.0004(20))
R0 = 100(1 + 0.008)
R0 = 100(1.008)
R0 = 100.8 ohms
So, the resistance of the nichrome wire at 0°C is approximately 100.8 ohms.