How does the length of the conductor affect Resistance? ?

The length of a conductor directly affects its resistance. The longer the conductor, the higher the resistance. This is because as the length of the conductor increases, the number of collisions between the electrons and the atoms in the conductor also increases. This results in a higher resistance to the flow of electric current.

The relationship between the length of the conductor (L) and its resistance (R) can be described by the formula:

R = ρ * (L/A)

Where:
R = resistance
ρ = resistivity of the material
L = length of the conductor
A = cross-sectional area of the conductor

From this formula, it is clear that as the length of the conductor increases, the resistance also increases. Conversely, if the length of the conductor is decreased, the resistance will decrease as well.

Resistance is directly proportional to the length of the conductor.

This means that as the length of a conductor increases, so does its resistance. This is because a longer conductor has more atoms for electrons to collide with, which makes it more difficult for electrons to flow through.

The relationship between resistance and length is expressed by the following equation:

```
R = ρ - L / A
```

where:

- R is resistance in ohms (Ω)
- ρ is the resistivity of the conductor in ohm-meters (Ω·m)
- L is the length of the conductor in meters (m)
- A is the cross-sectional area of the conductor in square meters (m²)

This equation shows that resistance is proportional to length (L) and inversely proportional to cross-sectional area (A).