Resistors and Ohm's Law Video Lessons

Concept

# Problem: What is the resistance of a carbon rod at 25.8 degrees C if its resistance is 0.0160 ohms at 0.0 degrees C?

###### FREE Expert Solution

The variation of resistance with temperature is expressed as:

$\overline{){\mathbf{R}}{\mathbf{=}}{{\mathbf{R}}}_{{\mathbf{0}}}{\mathbf{\left[}}{\mathbf{1}}{\mathbf{+}}{\mathbf{\alpha }}{\mathbf{\left(}}{\mathbf{T}}{\mathbf{-}}{{\mathbf{T}}}_{{\mathbf{0}}}{\mathbf{\right)}}{\mathbf{\right]}}}$, where R is the resistance of the material at a temperature, T degrees Celcius, R0 is the resistance of the material at T0 degrees Celcius, and α is the temperature coefficient of a material.

T is the final temperature and T0 is the initial temperature.

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###### Problem Details

What is the resistance of a carbon rod at 25.8 degrees C if its resistance is 0.0160 ohms at 0.0 degrees C?