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Question

Physics Question on Current electricity

If potential difference across a conductor, having a material of specific resistance ρ\rho remains constant, then according to Joules law, heat developed in the conductor is directly proportional to :

A

ρ\rho

B

ρ2\rho^2

C

1ρ\frac{1}{\sqrt{\rho}}

D

1ρ\frac{1}{\rho}

Answer

1ρ\frac{1}{\rho}

Explanation

Solution

R=ρl/AR = \rho \, l / A, and Q = V2R\frac{V^2}{R} , Hence Q1ϕQ \propto \frac{1}{\phi}