Question

What are the dimensional formula units for voltage?

Hint:

Voltage has the dimensional formula \( M^1 L^2 T^{-3} A^{-1} \), which is derived from the relationship between energy and charge.

Answer 1

Step 1: Voltage can also be pinned down through capacitance, since \( V = \dfrac{Q}{C} \).
Step 2: Charge has dimension \( [Q] = A T \), and capacitance (farad) has dimension \( [C] = M^{-1} L^{-2} T^{4} A^{2} \).
Step 3: \[ [V] = \frac{AT}{M^{-1}L^{-2}T^{4}A^{2}} = M L^{2} T^{-3} A^{-1} \] \[ \boxed{[V] = M L^{2} T^{-3} A^{-1}} \]