Question

what is the dimension formula of conductivity
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Answer 1

Answer:

Conductance (G) = 1/Resistance(R)

So, Conductance(G) = Current(I) / Voltage (V)

Voltage(V) = Work/Charge

Charge(Q) = Current(I) × Time(T)

Work(W) = Force × Distance = Mass× acceleration× Distance.

So, [W]=M×L×T^(-2)×L = M×L^(2)×T^(-2)

Q= I×T [Q] = A×T

[V]=[W]/[Q]

[V]= M×L^(2)×T^(-3)×A^(-1)

So, [G]=[I]/[V]

[G]=A/M×L^(2)×T^(-3)×A^(-1)

[G]=M^(-1)×L^(-2)×T^(3)×A^(2)

Answer 2

Dimensional formulae for R and V are ML2I−2T−3 and ML2T−2I−1