Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electromagnetic Waves

Question:

Displacement current $\left(i_d\right)=\frac{\varepsilon_o d \phi_E}{d t}$.

Where symbols have their usual meanings.

Which of the following options gives correct equation for displacement current?

Options:

$i_d=\varepsilon_o \frac{d(BA)}{d t}$

$i_d=A \varepsilon_o \frac{d E}{d t}$

$i_d=qA \varepsilon_o \frac{d E}{d t}$

$i_d=\frac{A \varepsilon_o}{q} \frac{d E}{d t}$

Correct Answer:

$i_d=A \varepsilon_o \frac{d E}{d t}$

Explanation:

$ i_d = \epsilon_0 \frac{d\phi_E}{dt} = \epsilon_0 \frac{d(EA)}{dt} = \epsilon_0 A\frac{dE}{dt}$