Range of resistivities
Current (I) is the rate of flow of charged particles and so can be calculated by considering the following factors:
- The number of charged particles travelling across a conductor-
- The charge carrier density (n) of a material describes the number of charge carriers it contains per unit volume.
- The speed at which the charged particles are travelling
- Charged particles in a conductor are constantly colliding with other particles in the conductor and so do not travel straight through a conductor, so the average speed at which they move along the conductor must be considered. This is called the drift velocity (v).
- The charge (q) that a single charged particle carries -
- This value is 1.6 × 10-19 C for electrons.
Therefore, the current passing through a conductor can be calculated by using the formula below:
I = nqvA
Where n is the charge carrier density, q is the charge of a charge carrier, v is the drift velocity and A is the cross-sectional area of the object.
Different materials have different values of charge carrier density , and even the same material has different values for different temperatures. This is because, when a material is given more energy (in the form of heat), some of its atoms may release more charge carriers, increasing the charge carrier density. This is why there is a large range of resistivities of different materials.