Which of the following physical quantities have the same dimensio… - Vidyadip

MCQ

Which of the following physical quantities have the same dimensions?

✓
Electric displacement $(\overrightarrow{ D })$ and surface charge density
B
Displacement current and electric field
C
Current density and surface charge density
D
Electric potential and energy

✓

Answer

Correct option: A.

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

a
Electric displacement

$\overrightarrow{ D }=\in_{0} \overrightarrow{ E }$

$[ D ]=\left[\in_{0} E \right]=\left[\in_{0} \frac{\sigma}{\in_{0}}\right]$

$[ D ]=[\sigma]$

$\rightarrow$ Surface change density $=\sigma$.

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