Resistor and Conductance
Description how to calculate resistance and conductance
An electrical load provides resistance to the current in a circuit. The term resistance defines a conductor characteristic of the load in relation to the current. The current in a circuit is therefore dependent on the voltage and the resistance of the circuit.
Definition of resistance
The resistance of a load is greater, when the current is lower at the given voltage. Or the resistance of a load is greater, when a higher of voltage is required to reach a given current. The symbol of the resistance is \(R\).
The dependency can be defined as
\(\displaystyle resistance=\frac{voltage}{current}\) \(\displaystyle R=\frac{U}{I}\)
\(R\) = resistance
\(U\) = voltage
\(I\) = current
he unit of measurement of the resistance is ohms (\(Ω\)). By definition, the resistance\(R = 1\; Ω\) when the voltage \(U = 1\;Volt\) and the current is \(I= 1\;Amper\).
\(\displaystyle 1Ω=\frac{1V}{1A}\)
Definition of the Conductance
The greater the resistance of a load, the lower its ability to conduct electricity. This ability is the conductivity (symbol \(G\)). The unit of measurement of the conductivity is the Siemens ( \(S\) ).
The conductance is thus the reciprocal of the resistance.
\(\displaystyle conductance=\frac{1}{resistance}\) \(\displaystyle G=\frac{1}{R}\) or \(\displaystyle R=\frac{1}{G}\)
Instead of \(\displaystyle R=\frac{U}{I}\) we can write \(\displaystyle \frac{1}{G}=\frac{U}{I}\)
When the formula is changed, the definition for the conductance is given \(\displaystyle G=\frac{I}{U}\)
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