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<^< Worksheet: Resistors in Parallel | Course index | Examples: Resistance and Temperature >^>

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Resistance and Temperature

<^< Worksheet: Resistors in Parallel | Course Index | Examples: Resistance and Temperature >^>(:nl:)

Graph of resistance against temp
'''Graph showing how resistance varies with temperature'''

The resistance of a conductor at a temperature, t, is given by the equation:

R'_t_' = R'_0_'(1 + &#945;t + &#946;t2 + &#947;t3....)

where &#945;, &#946;, &#947;, etc., are constants and R'_0_' is the temperature at 0°C.

The coefficients, &#946;, &#947;, etc., are quite small and since we are normally only dealing with a relatively restricted temperature range (e.g., 0°C to 100°C) we can usually approximate the characteristic to a straight line law in which case, the equation simplifies to:

R'_t_' = R'_0_'(1 + &#945;t)

where &#945; is known as the temperature coefficient of resistance. Some typical values for &#945; for various materials are given in the table below. Note that &#945; is expressed in &#937;/&#937;/°C or just °C.

Element&#945; (°C)
Platinum+0.0034
Silver+0.0038
Copper+0.0043
Iron+0.0065
Carbon-0.0005

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