![]() Inductance (L) (energy = \(\frac\right)\)ĭimensional Formula and Dimensional EquationsĪ dimensional equation is an equation that relates fundamental units and derived units in terms of dimensions. The following table shows dimensional formulas for different physical quantities: Physical quantityĪcceleration or acceleration due to gravityĪngular frequency (angular displacement/time)Ĭoefficient of linear or areal or volume expansionĬoefficient of surface tension (force/length)Ĭoefficient of viscosity (F = η × A × (dv/dx))Įlectric charge or quantity of electric charge (current × time)Įlectric dipole moment (charge × distance)Įlectric field strength or Intensity of electric field (force/charge)Įlectric resistance (potential difference/current)Įmf (or) electric potential (work/charge)įorce constant or spring constant (force/extension) Where, M, L, T are base dimensions mass, length, and time respectively and a, b and, c are their respective exponents. ![]() The dimensional formula of any quantity is the expression showing the powers to which the fundamental units are to be raised to obtain one unit of a derived quantity. If Q is any physical quantity, the expression representing its dimensional formula is given by, Dimensional Formula: The concept of dimension in maths does not have any specific dimensional formula. Dimension of any physical quantity is the power to which the fundamental units are raised to obtain one unit of that quantity. Let us learn about the dimensional formula with a few examples in the end. Before learning the dimensional formula, let us recall what is dimension. Dimension in maths is a measure of the length, width, or height extended in a particular direction. By dimension definition, it is a measure of a point or line extended in one direction. Every shape around us has some dimensions.
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