Define Resistance and Conductance | SI Unit , Dimensions
Electric Resistance :
Resistance of a conductor is the opposition offered by the conductor to the flow of electric charge in the conductor.
Resistance of a conductor is defined as the ratio of the potential difference across the ends of the conductor to the current flowing through it.
That is,
R=VI
S.I. unit of resistance :
It's S.I unit is ohm (Ω)
1 ohm (Ω)=1 volt (V)1 ampere (A) or 1Ω=1VA−1
Definition of 1 ohm:
Resistance of a conductor is said to be 1 ohm, if current of 1 A flows through it, when potential difference of 1 V is applied across it.
Dimensional formula of resistance:
[R]=[V][I]
[R]=[Work][Charge]×[Current]
[R]=[Work][Current]×[Time]×[Current]
=[ML2T−2][A2T]
= [ML^T^{-3}A^{-2}]
Conductance:
Conductance of a substance is equal to the inverse of its resistance.
That is,
G=1R
S.I. unit of conductance
ohm−1 (Ω−1) or mho or siemen (S).
Dimensions of Conductance,
[G]=1[R]=[M−1L−2T3A2]
Note :Conductance of a substance is also denoted by letter S.