According to Joule's law, if the potential difference across a co… - Vidyadip

MCQ

According to Joule's law, if the potential difference across a conductor having a material of specific resistance remains constant, then the heat produced in the conductor is directly proportional to

A
$\rho $
B
${\rho ^2}$
C
$\frac{1}{{\sqrt \rho }}$
✓
$\frac{1}{\rho }$

✓

Answer

Correct option: D.

$\frac{1}{\rho }$

d
(d) $P = \frac{{{V^2}}}{R}$ but $R = \frac{{\rho l}}{A}$ $ \Rightarrow $ $P = \frac{{{V^2}}}{{\rho l/A}} = \frac{{A{V^2}}}{{\rho l}}$. Since $\frac{{A{V^2}}}{l}$is constant as per given conditions So $P \propto \frac{1}{\rho }$.

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