Question

Let $Q$ denote the charge on the plate of a capacitor of capacitance $C$. The dimensional formula for $\frac{Q^2}{C}$ is

• A. $\left[L^2{M}^{2}T\right]$
• B. $\left[LM{T}^2\right]$
• C. $\left[L^{2}M{T}^{-2}\right]$
• D. $\left[L^2{M}^2{T}^2\right]$

Answer 1

Answer: (C)

$\left[L^{2}M{T}^{-2}\right]$

The term $\frac{Q^2}{2C}$ is the formula of energy stored in a capacitor so it has the dimension of energy $=\left[M{L}^2{T}^{-2}\right]$