Question

What is the dimensional formula of Voltage?
1. ML²T^-3I^-1
2. ML³T^-3I^-2
3. M1 T-2 I4. ML2T2I

Answer 1

Correct Answer - Option 1 : ML²T^-3I^-1

Option 1 is correct, i.e. ML2T-3I-1.

• Voltage:
  •  It is defined as the Potential difference between two terminals.
  • It is defined as the work required to move charge from one point to another point.
  • In other words, it is defined as the ratio of work to the charge.
  • Voltage = Work / Charge (W/Q)
  • Dimension of work = ML²T^-2
  • Dimension of charge = IT (Current = charge / time).
  • Which implies, the dimensional formula of voltage = ML2T-3I-1

 where M, L, T, and I indicate mass, length, time, and current.

List of some quantities and their dimensions:

Quantities	Dimension
Dynamic viscosity	M1L-1T-1
Kinematic viscosity	L2T−1
Magnetic Flux	ML2T2I
Magnetic field	M1 T-2 I-1
Power	ML2T-3
Voltage	ML2T-3I-1
Resistivity	ML3T-3I-2
Torque	M1L2T-2
Work	ML2T-2
Pressure	ML-1T-2
Force	ML1T-1
Surface Tension	M1L0T-2