Processing math: 100%
Define Resistance and Conductance | SI Unit and Dimensions

Define Resistance and Conductance | SI Unit and Dimensions

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=1VA1

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]

=[ML2T2][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 

ohm1 (Ω1) or mho or siemen (S).

Dimensions of Conductance, 

[G]=1[R]=[M1L2T3A2]

Note :Conductance of a substance is also denoted by letter S.

Previous Post Next Post