What is the Unit of Resistance?

The resistance is a quotient of voltage divided by current, which is V/I. It is measured in ohms and abbreviated by the Greek letter omega (). The ohm is named after the German scientist GEORGE S. OHM who published in 1827 his experimental results that described the results of one of the first efforts to measure currents and voltages, and to relate them mathematically.

Geometrical Parameters to Compute Resistance

The resistance of a conductor has an effect on the current-carrying capacity of the conductor. A conductor with high resistance will have higher power loss than a conductor with a lower resistance when carrying the same current. In addition to increased power loss, higher resistance will result in larger voltage drop. The resistance of a conductor is a function of the conductor length, cross-sectional area, and material resistivity, as given by the following equation

(4.1)


where = conductor resistivity in ohms-meters (-m), l = conductor length in meters (m), = conductor conductivity in mhos (1/), and S = cross-sectional area in square meters (m2). Note that the resistance is directly related to conductor length and inversely related to area. Figure 4.2 shows cylindrical shaped conductors with various dimensions.

Figure4.2 Resistance for three different conductors.


Conductance

A useful quantity in electric circuit analysis is the reciprocal of resistance, known as conductance and denoted by G:

(4.2)

Conductance is the ability of an element to conduct electric current; it is measured in mhos or siemens (S).

               

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