Dimensional formula of Electric flux

How to get the dimensional formula of electric flux

1. Start from the definition: electric flux = electric field × area.
2. velocity = length / time, so velocity is [L] / [T] = [L T^-1].
3. acceleration = velocity / time, so acceleration is [L T^-1] / [T] = [L T^-2].
4. force = mass × acceleration, so force is [M] × [L T^-2] = [M L T^-2].
5. electric charge = electric current × time, so electric charge is [A] × [T] = [T A].
6. electric field = force / electric charge, so electric field is [M L T^-2] / [T A] = [M L T^-3 A^-1].
7. area = length × length, so area is [L] × [L] = [L²].
8. Put in the dimension of each part: [M L T^-3 A^-1] × [L²].
9. Add the powers of each base quantity: [M L³ T^-3 A^-1].

Three questions on electric flux

Related quantities

• q Electric charge [T A]
• E Electric field [M L T⁻³ A⁻¹]
• V Electric potential [M L² T⁻³ A⁻¹]
• V Potential difference [M L² T⁻³ A⁻¹]
• ε Electromotive force (emf) [M L² T⁻³ A⁻¹]
• U_E Electric potential energy [M L² T⁻²]