Electrical Resistance
Resistance definition
Resistance is an electrical quantity that measures how the device
or material reduces the electric current flow through it.
The resistance is measured in units
of Ohms [Ω].
If we make an analogy to water flow in pipes, the resistance is
bigger when the pipe is
thinner, so the water flow is reduced.
Resistance calculation
The resistance of a conductor is resistivity of the conductor's
material times the conductor's length divided by the conductor's
cross sectional area.

R is the resistance in Ohms [Ω].
ρ is the resistivity in Ohms×meter
[Ω×m]
l is the length of the conductor in meter [m]
A is the cross sectional area of the conductor in square meters [m2]
It is easy to understand this formula with water pipes analogy:
- when the pipe is longer, the length is bigger and the
resistance will increase.
- when the pipe is wider, the cross sectional area is bigger
and the resistance will decrease.
Resistance calculation with Ohm's law

R is the resistance of the resistor, in Ohms [Ω].
V is the voltage drop on the resistor, in Volts [V].
I is the current of the resistor, in Amperes [A].
Temperature effects of resistance
The resistance of a resistor increases when temperature of the
resistor increases.
R2 = R1(1 + α(T2 - T1))
R2 is the resistance at temperature T2, in Ohms [Ω].
R1 is the resistance at temperature T1, in Ohms [Ω].
α is the temperature coefficient.
Resistance of resistors in series

The total equivalent resistance of resistors in series is the sum
of the resistance values:
RTotal = R1+
R2+ R3+...
Resistance of
resistors in parallel

The total equivalent resistance of resistors in parallel is given
by:

Measuring electrical resistance
Electrical resistance is measured with ohmmeter instrument.
In order to measure the resistance of a resistor or a circuit,
the circuit should have the power supply turned off.
The ohmmeter should be connected to the two ends of the circuit
so the resistance can be read.
Superconductivity
Superconductivity is the drop of resistance to zero at very low
temperatures near 0ºK.
See also