Inside Story

# DIFFERENCE BETWEEN RESISTANCE AND RESISTIVITY

In this article, we will discuss about the basic difference between the **resistance** and **resistivity** in a organised way. You will understand the underlying difference very clearly after going through this article. So stay tuned with us till end.

## RESISTANCE : BASIC

**Resistance** means to resist something which are going ahead. In any electrical conductor resistance is the property of the conductor due to which it resist the flow of **electrons**.[latexpage]

When electrons flow inside any conductor in the influence of electric field, it rushes towards the opposite direction of the **electric field**.

When it moves towards the positive end of the conductor it get collide with the **atoms** and **molecules** of the conductor due to which it’s **velocity** gets reduced. This type of obstructions caused due to the **collision** is called resistance.

Resistance is also defined as the ratio of **potential difference** to the current flowing.

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

It’s SI unit is **ohm** and denoted by Greek letter Omega (Ω).

Resistance of any conductor depends on the many factors such as

- length of the conductor
- cross sectional area and
- the
**temperature**of the conductor.

Resistance is directly proportional to the length of the **conductor** and inversely proportional to the cross sectional area of the conductor. Mathematically, it is as follows :

\begin{align*}

R&\propto \frac{l}{A}\\

R&=\rho\frac{l}{A}

\end{align*}

Where $\rho$ is the resistivity of the material of the conductor.

It is directly proportional to the temperature of the conductor, it is as follow:

$$R_T=R_0\left[1+\alpha\left(T-T_0\right)\right]$$

Where $\alpha$ is the temperature coefficient of resistance.

For detailed discussion see this article

## RESISTIVITY : BASIC

Resistivity is special type of resistance so it is also called **specific resistance**. It is resistance caused by any conductor having unit length and unit cross sectional area. The formula which represents the **Resistivity** is-

$$\rho=\frac{RA}{l}$$

Resistivity is also depends on the many factors such as :

- Cross sectional area of the conductor.
- Length of the conductor
- Temperature of the conductor
- Nature of the material of the conductor.

It’s SI unit is ohm-metre and it is denoted as Ω.m

## DIFFERENCE BETWEEN RESISTANCE AND RESISTIVITY

In this table you will see the difference between resistance and resistivity organised way.