The dimensional formula of polarization P is | vedclass

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Question

(A) Polarization $P$ is defined as the dipole moment per unit volume.$P = \frac{p}{V}$Since $p = q 	imes d$ (charge $	imes$ distance) and $V = L^3$

Vedclass · Accepted Answer

$L^{-2} A^1 T^1$

Vedclass · Answer

(A) Polarization $P$ is defined as the dipole moment per unit volume.$P = \frac{p}{V}$Since $p = q 	imes d$ (charge $	imes$ distance) and $V = L^3$ (volume),$P = \frac{q 	imes d}{L^3} = \frac{q}{L^2}$The unit of charge $q$ is $A \cdot T$ (Ampere-second) and the unit of area $L^2$ is $m^2$.Therefore,the unit of polarization is $A \cdot T \cdot m^{-2}$.The dimensional formula is $[A^1 T^1 L^{-2}]$.Thus,the correct option is $A$.

The dimensional formula of polarization $P$ is . . . . . . .

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