I-V characteristic of a copper wire of length | vedclass

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(D) The $I-V$ characteristic of a copper wire of length $L$ and area of cross-section $A$ is shown in the figure.Since the $I-V$ characteristic is a s

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Less if the length of the wire is increased

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(D) The $I-V$ characteristic of a copper wire of length $L$ and area of cross-section $A$ is shown in the figure.Since the $I-V$ characteristic is a straight line,it obeys Ohm's law.The slope of the $I-V$ graph is given by $	ext{slope} = 	an 	heta = \frac{I}{V}$.From Ohm's law,$V = IR$,so $\frac{I}{V} = \frac{1}{R}$.Since $R = ho \frac{L}{A}$,we have $	ext{slope} = \frac{1}{ho \frac{L}{A}} = \frac{A}{ho L}$.$(i)$ If the length $L$ is increased,the slope $\frac{A}{ho L}$ decreases.(ii) If the area $A$ is increased,the slope $\frac{A}{ho L}$ increases.(iii) If a steel wire of the same dimensions is used,since $ho_{	ext{steel}} > ho_{	ext{copper}}$,the slope $\frac{A}{ho L}$ decreases.(iv) If the experiment is performed at a higher temperature,the resistivity $ho$ of copper increases,so the slope $\frac{A}{ho L}$ decreases.Therefore,the correct statement is that the slope becomes less if the length of the wire is increased.

$I-V$ characteristic of a copper wire of length $L$ and area of cross-section $A$ is shown in the figure. The slope of the curve becomes

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