14.3.3 – Ohm’s Law

Definition: Ohm’s Law
Ohm’s Law states that the potential difference across the ends of a conductor is directly proportional to the current flowing through it, provided that the temperature and other physical conditions are unchanged.
  • Conductors that obey Ohm’s Law are called ohmic. For ohmic conductors, R is a constant.

 

  • Conductors that do not obey Ohm’s law are non-ohmic. i.e. although R is still given by V/I , it is not a constant.
Physical Conditions
Physical conditions here really refers to the temperature. If the temperature changes significantly then we cannot say all of the physical conditions are the same. e.g. A light bulb switched off will have a filament at room temperature, in operation the temperature may reach 2000 °C or more.

 

Current-Voltage Characteristic Graphs

Example 2
Draw the V against I graph and I against V graph for an ohmic conductor that has a 100 Ω resistance.

In this case the gradient is equal to the resistance of the component.

 

In this case the gradient is equal to the reciprocal of the resistance of the component.

 

The following shows the typical Current-Voltage (I/V) Characteristic Graphs for some common materials.

Pure Metal at Constant Temperature


a pure metal at constant temperature

The metal behaves ohmically for all currents. Resistance is constant for all temperatures.

I-V graph is not a V-I graph
The axes are I (y-axis) and V (x-axis).

The gradient is NOT equal to the resistance in this case. The resistance is of course the reciprocal of the gradient.

Later we will be coming across components that are non-ohmic such as the filament bulb, thermistor, light-dependent resistor, and diode.

Thermistor


a thermistor

Larger currents produce a heating effect which again causes the resistance to change and the component to show non-ohmic characteristics.

What happens to the resistance at higher voltages?

Links
https://en.wikipedia.org/wiki/Incandescent_light_bulb

 

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