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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

Less if the length of the wire is increased

Vedclass · Answer

(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.

$I (A)$	$V (V)$	$I (A)$	$V (V)$
$0.2$	$3.94$	$3.0$	$59.2$
$0.4$	$7.87$	$4.0$	$78.8$
$0.6$	$11.8$	$5.0$	$98.6$
$0.8$	$15.7$	$6.0$	$118.5$
$1.0$	$19.7$	$7.0$	$138.2$
$2.0$	$39.4$	$8.0$	$158.0$

$I-V$ 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

Similar Questions

The correct setup to verify Ohm's law is:

Of the following graphs,the one that correctly represents the $I-V$ characteristics of an 'Ohmic device' is:

The resistance as shown in the figure is negative at

What conclusion can you draw from the following observations on a resistor made of alloy manganin?
$I (A)$ $V (V)$ $I (A)$ $V (V)$
$0.2$ $3.94$ $3.0$ $59.2$
$0.4$ $7.87$ $4.0$ $78.8$
$0.6$ $11.8$ $5.0$ $98.6$
$0.8$ $15.7$ $6.0$ $118.5$
$1.0$ $19.7$ $7.0$ $138.2$
$2.0$ $39.4$ $8.0$ $158.0$

The $V-I$ graphs $A$ and $B$ are drawn for two voltameters. Identify each graph.

Vedclass Test Series

Exam Paper Generator

Online Exam Module