Q. The $V - i$ graph for a conductor makes an angle $\theta$ with $V$-axis. Here $V$ denotes the voltage and $i$ denotes current. The resistance of conductor is given by

A) $\sin\theta$
B) $\cos\theta$
C) $\tan\theta$
D) $\cot\theta$
Explanation

(d) At an instant approach the student will choose $\tan\theta$ will be the right answer. But it is to be seen here the curve makes the angle $\theta$ with the $V$-axis. So it makes an angle $(90 - \theta)$ with the $i$-axis
So resistance = slope $= \tan{(90 - \theta) = \cot\theta}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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