Question

The variation of current and voltage in a conductor has been shown in figure. The conductance of the conductor is (Give your answer in ${\Omega }^{-1}$).

• A. $\frac{1}{2}$
• B. $\frac{1}{5}$
• C. $\frac{1}{3}$
• D. $\frac{1}{4}$

Answer 1

The correct option is C $\frac{1}{3}$

From the given figure, Slope $=\frac{\Delta I}{\Delta V}=\frac{1}{R}$

$\tan {45}^{\circ }=\frac{4}{12}=\frac{1}{R}\Rightarrow R=\frac{12}{4}=3\Omega$

$\Rightarrow R=3\Omega$

Thus, Conductance $G=\frac{1}{R}=\frac{1}{3}{\Omega }^{-1}$.