Question

Dimensions of resistance in an electrical circuit, in terms of dimension of mass $M$, of length $L$, of time $T$ and of current $I$, would be

• A. $[ML^2T^{-2}]$
• B. $[ML^2T^{-1}I^{-1}]$
• C. $[ML^2T^{-3}I^{-2}]$
• D. $[ML^2T^{-3}I^{-1}]$

Answer 1

Answer: (C)

$[ML^2T^{-3}I^{-2}]$

Answer 2

$R =\frac{ V }{ I }=\frac{ J }{ IC } \equiv \frac{ ML ^{2} T ^{-2}}{ I ^{2} T }$
$= ML ^{2} T ^{-3} I ^{-2}$