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(B) Ampere's circuital law,in its original form,states that $\oint \vec{B} \cdot d\vec{l} = \mu_0 I_c$,where $I_c$ is the conduction current.Maxwell o

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Introduction of displacement current

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(B) Ampere's circuital law,in its original form,states that $\oint \vec{B} \cdot d\vec{l} = \mu_0 I_c$,where $I_c$ is the conduction current.Maxwell observed that this law was inconsistent for non-steady currents,such as in a charging capacitor,where the current is not continuous through the dielectric.To resolve this discrepancy,Maxwell proposed that a time-varying electric field acts as a source of magnetic field,similar to how a conduction current does.He introduced a new term called 'displacement current' $(I_d = \epsilon_0 \frac{d\Phi_E}{dt})$.Thus,the modified Ampere-Maxwell law is given by $\oint \vec{B} \cdot d\vec{l} = \mu_0 (I_c + I_d)$.

$A$. $\oint E \cdot dA$	$(i)$ $0$
$B$. $\oint B \cdot dA$	$(ii)$ $-\frac{d\phi_B}{dt}$
$C$. $\oint E \cdot dl$	$(iii)$ $\frac{Q}{\varepsilon_0}$
$D$. $\oint B \cdot dl$	$(iv)$ $\mu_0(i_c + i_d)$

What suggestion was made to correct the discrepancies in Ampere's circuital law?

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