A physical quantity {S} is defined as {S}={{E} × {B}}{₀}, where {arrow}{E} is electric field, {B} is magnetic field and ₀ is the permeability of free space. The dimensions of {S} are the same as the dimensions of which of the following quantities? [JEE Adv 2021 P2]

\;{{Energy}}{{Charge} × {Current}}

\;{{Force}}{{Length} × {Time}}

Test Index

Units and Measurements

Section: Physics

Question : 12 of 36

Marks: +1, -0

\overline{S}

\overline{S}=\frac{\overline{E} \times \overline{B}}{\mu_{0}}

\overset{\rightarrow}{E}

\overline{B}

\mu_{0}

\overline{S}

Solution:

Given physical quantity,

\overset{\rightarrow}{S}=\left[\overset{\rightarrow}{E}\times \overset{\rightarrow}{B}\right] \;\frac{1}{\mu_{0}}

Here

S

is known as pointing vector and it represents flow of energy per unit area per unit time

\overset{\rightarrow}{S}=\;\frac{\text{Energy}}{\text{Area} \times \text{Time}}\;=\;\frac{\text{Power}}{\text{Area}}\;=\;\frac{\text{Force}}{\text{Length} \times \text{Time}}

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