Question

The $V$ - $i$ graph for a good conductor makes angle $40^{\circ }$ with $V$-axis. Here, $V$ denotes voltage and $i$ denotes current. The resistance of the conductor will be

• A. $\sin 40^{\circ }$
• B. $\cos 40^{\circ }$
• C. $\tan 40^{\circ }$
• D. $\cot 40^{\circ }$

Answer 1

Answer: (D)

According to Ohm's law, we get
Current $I=\frac{V}{R}$. So, slope $AB$
i.e., $\tan 40^{\circ }=\frac{I}{V}$
$\Rightarrow \frac{1}{\tan 40^{\circ }}=\frac{V}{I}$
$\Rightarrow \cot 40^{\circ }=\frac{V}{I}$
$(\because$ slope of $AB$ i.e., $R=\frac{V}{I})$