What are the derived SI units?
- Derived SI units are units obtained through equations containing the seven base units
- Thus, they allow any physical quantity to be expressed in terms of SI units
What are the commonly used derived SI units and how are they defined?
Unit
Unit Symbol
Base Measure
Base Units
Definition
Hertz
Hz
Frequency
s−1
The frequency of one cycle per second
Newton
N
Force
kg.m.s−2
The force required to give 1 kilogram an acceleration of 1 metre per second per second
Pascal
Pa
Pressure
N.m−2
The pressure of 1 Newton per square metre
Joule
J
Energy or Work
N.m
The energy expended when the point of application of a force of 1 Newton moves 1 metre in the direction of the force
Watt
W
Power
J.s−1
1 joule per second
Volt
V
Electrical Potential
kg⋅m2⋅s-3⋅A−1
The difference of electrical potential between two points of a conductor carrying a constant current of 1 ampere, when the power dissipated between these points is 1 watt
Ohm
Ω
Electrical Resistance
kg⋅m2⋅s−3⋅A−2
The resistance when one volt is applied across a conductor and produces a current of 1 ampere
Coulomb
Q
Charge
s⋅A
The quantity of electricity transported in one second by a current of 1 ampere
Farad
F
Capacitance
kg−1⋅m−2⋅s4⋅A2
The capacitance if a potential difference of 1 volt is present across its plates, when a charge of 1 coulomb is held by them.
Henry
H
Inductance
kg⋅m2⋅s−2⋅A−2
The inductance in a circuit when an electric current that is changing at 1 ampere per second results in an electromotive force of 1 volt across the inductor:
Weber
Wb
Magnetic Flux
kg⋅s−2⋅A−1
The magnetic flux that, linking a circuit of one turn, would produce in it an electromotive force of 1 volt if it were reduced to zero at a uniform rate in 1 second
Tesla
T
Magnetic Flux Density
kg⋅m2⋅s−2⋅A−1
The magnetic flux density equal to 1 weber per square metre