## Current and Resistance

Electrical Resistance

## Ohm's Law

## For many materials -- including most metals -- the ratio of voltage to current through a circuit element (a resistor) is a constant over a wide range of conditions. This constant value is the resistance. Or the resistance of many circuit elements is constant over a wide range of conditions.

Not all materials follow Ohm's Law.

[Ohm's Law is a general and useful of experimental results that are good over a reasonably wide range of conditions. It isnota "General LAW of Physics" like Newton'sLAWSof motion or Newton's LAW of Universal Gravitation. The world "LAW" has different shades of meaning -- even in Physics!]

Current Density

We already know there is no stationary charge inside a conductor in static equilibrium. However, if there is an applied electric field inside a conductor charges may move inside that conductor.Current densityis defined as the current per unit area,J = I / A

## Resistivity

## The resistance of a circuit element -- like a piece of wire -- depends upon the length of the element, its cross sectional area, and the characteristics of the material itself.

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(c) Doug Davis, 2002; all rights reserved