Write down a simple relationship to show the varriation of resistance with temperature. Define temperature coefficient of resistance. In what way the temperature coffecient of carbon is different from that of the common conductors ?

Explanation

### Step-by-Step Solution

1. **Relationship Between Resistance and Temperature**:
The relationship that shows the variation of resistance (R) with temperature (T) can be expressed mathematically as:
\[ R_T = R_0 (1 + \alpha (T - T_0)) \]
Where:
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