Dimensional formula of capacitance

Capacitance
[M−1 L−2 T4 A2]
Written in full: [M⁻¹ L⁻² T⁴ A² K⁰]

How to derive it

Capacitance = Charge ÷ Potential difference

Put in the dimensions of each part: [AT] ÷ [ML²T⁻³A⁻¹] = [M⁻¹ L⁻² T⁴ A²].

mass (M)
-1
length (L)
-2
time (T)
4
current (A)
2
temperature (K)
0

SI unit

The SI unit of capacitance is farad (F).

Same dimensions as capacitance

None of the other quantities on this site share these exact dimensions.

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More from Electrostatics

QuantityFormula
Electric charge[T A]
Electric potential[M L2 T−3 A−1]
Electric field[M L T−3 A−1]
Electric flux[M L3 T−3 A−1]
Electric dipole moment[L T A]
Permittivity of free space[M−1 L−3 T4 A2]