Q. When a current I is passed through a wire of constant resistance, it produces a potential difference $V$ across its ends. The graph drawn between log I and log V will be

A) [image:3_image115.emf]
B) [image:3_image116.emf]
C) [image:3_image117.emf]
D) [image:3_image118.emf]
Explanation

(a) According to ohm’s law $V = iR$
$\Rightarrow \log_{e}{V = \log_{e}{i + \log_{e}{R \Rightarrow \log_{e}{i = \log_{e}{V - \log_{e}R}}}}}$
The graph between $\log_{e}I$ and $\log_{e}V$ will be a straight line which cuts $\log_{e}V$ axis and it’s gradient will be positive

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.