Question

The power dissipated in a conductor of resistivity $\rho$ is proportional to

• A. ${\rho }^2$
• B. $\rho$
• C. $\sqrt{\rho }$
• D. none of these

Answer 1

The correct option is D none of these

The power dissipated in a conductor is
$P=\frac{V^2}{R}$
If $\rho$ is the resistivity of the conductor then
$R=\frac{\rho L}{A}$
Therefore,
$P=\frac{V^{2}A}{\rho L}$
$\Rightarrow P\propto \frac{1}{\rho }$