Question

Which statement describes the relationship of resistance and current?

1.Resistance is directly proportional to current because R = .
2.Resistance is inversely proportional to current because R = .
3.Resistance is directly proportional to current because R = VI.
4.Resistance is inversely proportional to current because R = VI.

Answer 1

Answer : Resistance is inversely proportional to current because R = V/I

Explanation :

Resistance is the property of a material which opposes the flow of electric current.

Mathematically, it can be written as:

$R=\dfrac{\rho L}{A}$

Where,

$\rho$ is the resistivity of the material.

L is the length of the wire

A is the area of the cross section

It can be also defined using Ohm's law as :

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

Where,

V is the voltage across the terminals of the battery

I is the current flowing in the circuit.

So, it is clear that the relation between the resistance and the current is inverse.

Hence, the correct option is (b).