Question

Maxwell introduced displacement current to remove the conceptual contradiction in

• A. Gauss's law in electrostatics
• B. Gauss's law in magnetism
• C. Faraday's law
• D. Ampere's law

Answer 1

Answer: (D)

Ampere's law

Maxwell pointed out the inconsistency of the Ampere's circuital law, when this law was applied to an electric circuit having a capacitor, the law appeared wrong or incomplete. Because no current was assumed in the space between the plates of capacitor. Maxwell said that there is also a current flow, in the space between the plates of a capacitor due to time varying electric field between the plates. Maxwell named this current as displacement current ($i_d$). This concept makes a continuous flow of current in an electric circuit containing a capacitor.

Now the improved Ampere's law, called Ampere-Maxwell's law is given by:

$\oint \overrightarrow{B}.\overrightarrow{d}l={\mu }_0{i}_c+{\mu }_0{\epsilon }_0\frac{d{\varphi }_E}{dt}$