Target Exam

CUET

Subject

Physics

Chapter

Moving Charges and Magnetism

Question:

In Ampere-circuital law, the missing term is:

Options:

$i=ε_0\frac{dt}{d\phi_E}$

$i=ε_0\frac{d\phi_E}{dt}$

$i=\frac{1}{ε_0}\frac{dt}{d\phi_E}$

$i=\frac{1}{ε_0}\frac{d\phi_E}{dt}$

Correct Answer:

$i=ε_0\frac{d\phi_E}{dt}$

Explanation:

The correct answer is Option (2) → $i=ε_0\frac{d\phi_E}{dt}$

In Ampere's Circuital law, the term accounting for displacement current ($I_d$) was introduced by Maxwell.

$\oint B.dl=μ_0(i+i_d)$ [After Maxwell theory of Displacement current]

where,

$i$ = Conduction through the surface

$i_d=ε_0\frac{d\phi_E}{dt}$ is displacement current

and,

$\frac{d\phi_E}{dt}$ = Change is Electric flux.