Question

How does potential difference (v) across a resistor depend on current passing through it ? What is nature of I-V graph obtained

Answer 1

According to ohm's law,

$V\alpha I$
$V=IR$

As potential increases, current in the circuit increases, every circuit offer some resistance to the current.

if the conductor in the circuit is a ohmic in nature then potential will have proportional relation with current.

Resistance is purely a material property and it doesn't not depends upon voltages.

Nature of the graph :

slope of the curve

$\frac{I}{V}=\frac{1}{R}$

$orR=\frac{1}{\frac{I}{V}}⟶R=\frac{V}{I}$