Question

the value of current flowing through given resistance of resistor of the corresponding value of potential difference across the resistor are given below the graph between I and potential difference v and difference determine the resistance of the resistor

Answer 1

let us take any two values.

When current (I)=0.1 A, Volt (V) =0.5 V

When Current (I) =1 A, Volt (V)=5V

$\textbf{\underline{Using Ohm's law}}$

$\textbf{Ohm's law states that the potential difference across a conductor is directly proportional to the current flowing in the conductor}$

V=IR

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

Now, V1 = 0.5 V and V2 = 5 V

I1= 0.1 A and I2 = 1 A

$\frac{V2\-V1}{I2\-I1}$=R

$\frac{5\-0.5}{1\-0.1}$=R

$\frac{4.5}{0.9}$=R

5 = R

$\textbf{\huge{So , the resistance is 5 ohms }}$

$\mathfrak{\huge{Hope\:it\:helps}}$