What is the resistance of a nichrome wire at 0.0 ∘c if its resistance is 200.00 ω at 11.5 ∘c?

The temperature of the resistor varies based on the variation in the temperature. The equation that describes the relation between the two of them is:

R = R0[1 + alpha (T-T0) ] where:

R is the new resistance we are looking for

alpha is the temperature coefficient of resistance. For nichrome, alpha = 4x10^-4/C

T0 is the standard temperature = 11.5

R0 is the resistance at T0 = 200 ohms

T is the temperature at which we want to get R = 0

Substitute in the equation to get R as follows:

R = 200 [1+4*10^-4 (0-11.5) ] = 199.08 ohm