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: Understanding voltage dimensions.
Voltage (or electric potential) is defined as energy per unit charge. The dimensional formula for energy is \( M L^2 T^{-2} \), and for charge, it is \( A T \). Dividing energy by charge gives the dimensional formula for voltage: \[ [V] = \frac{M L^2 T^{-2}}{A T} = M L^2 T^{-3} A^{-1} \]