Question

Does resistance in a circuit remain constant if the temperature changes?

Answer 1

Answer:

No the resistance of a given circuit does not remain constant if the temperature of the circuit changes.

Explanation:

The resistance of any resistor used in a circuit depends upon the temperature  of that resistor. This can be mathematically represented as follows

$R(t)=R_{0}(1+\alpha \Delta t)$

Where,

R(t) is resistance of any resistor at temperature t

$R_{o}$ is the resistance of the resistor at time of fabrication

α is temperature coefficient of resistivity it's value is different for different materials

This change in the resistance is the cumulative effect of:

1) Variation of resistivity with temperature

2) Change in dimensions of the resistor with change in temperature