Question

Define specific resistance and express it in terms of mass, charge, number density and relaxation time and explain the effect of temperature on specific resistance of metal?

Answer 1

Given that,

Mass = m

Charge = q

Number density = n

Relaxation time =$\tau$

Temperature = T

Specific resistance of metal = $\rho$

We know that,

The specific resistance is defined as,

$\rho=\dfrac{m}{ne^2\tau}$

Where, $\rho$ = specific resistance

m = mass

n = Number density

e = charge of electron

$\tau$ = relaxation time

We know that,

The specific resistance is defined as,

The specific resistance of metal is directly proportional to the temperature.

In mathematical term,

$\rho\propto T$

Hence, the specific resistance is increased then the temperature will be increase.