Numford

Fundamental constantsClass 12, Electric Charges and Fields

Dimensional formula of Elementary charge

[T A]

Symbole SI unitcoulomb (C)

The charge of a proton, 1.602 × 10⁻¹⁹ C. It has the dimension of charge.

Derivation

How to get the dimensional formula of elementary charge

  1. Start from the definition: elementary charge = electric charge.
  2. electric charge = electric current × time, so electric charge is [A] × [T] = [T A].
  3. Put in the dimension of each part: [T A].
  4. Add the powers of each base quantity: [T A].
Same dimensions

Quantities with the dimensions [T A]

Equal dimensions do not make them the same quantity. Compare elementary charge with the others in the full grid.

Practice

Three questions on elementary charge

1Which of these has the same dimensions as elementary charge?

2What is the SI unit of elementary charge?

3Do elementary charge and gravitational constant have the same dimensions?

Questions

Elementary charge: quick answers

What is the dimensional formula of elementary charge?

The dimensional formula of elementary charge is [T A]. It comes from elementary charge = electric charge.

What is the SI unit of elementary charge?

The SI unit of elementary charge is the coulomb (C).

Which quantities have the same dimensions as elementary charge?

Elementary charge shares [T A] with electric charge. Equal dimensions do not make them the same quantity.

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