Question 207: Current Electricity

Question

Which of the following physical quantities have the same dimensions?

Accepted Answer

Electric displacement $$(\overrightarrow D ) = {\varepsilon _0}\overrightarrow E $$
$$ \Rightarrow [\overline D ] = [{\varepsilon _0}][\overline E ]$$
$$ = [{M^{ - 1}}{L^{ - 3}}{T^4}{A^2}][{M^1}{L^1}{A^{ - 1}}{T^{ - 3}}]$$
$$[\overline D ] = [{L^{ - 2}}{T^1}{A^1}]$$
[Surface charge density] $$ = {{[Q]} \over {[A]}}$$
$$[\sigma ] = [AT{L^{ - 2}}]$$
$$ \Rightarrow \overrightarrow D $$ and $$[\sigma ]$$ have same dimensions

Answer

Electric displacement $$(\overrightarrow{\mathrm{D}})$$ and surface charge density

Answer

Displacement current and electric field

Answer

Current density and surface charge density

Answer

Electric potential and energy

Current Electricity

Which of the following physical quantities have the same dimensions?

Choose the correct answer: