Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions :

Maxwell's equations describe the behavior of electric and magnetic fields. There are four equations, and each has a specific role. In the given options, Option C refers to Faraday's Law of Electromagnetic Induction, which is the only equation among the options that is not valid for static conditions. <br/><br/> Option C: Faraday's Law of Electromagnetic Induction:<br/><br/> $\oint \vec{E} \cdot \overrightarrow{d l}=-\frac{\partial \phi_{B}}{\partial t}$ <br/><br/> This equation states that a time-varying magnetic field (changing magnetic flux, $\phi_B$) induces an electromotive force (EMF) in a closed conducting loop, creating an electric field. In static conditions, the magnetic field doesn't change over time, and there is no induced EMF. Therefore, Faraday's Law is valid for time-varying conditions but not for static conditions.