Which of the following Maxwell's equations is | vedclass

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(C) Maxwell's equations describe how electric and magnetic fields are generated and altered by each other and by charges and currents.Faraday's Law of

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$\oint \vec{E} \cdot d\vec{l} = -\frac{\partial \phi_B}{\partial t}$

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(C) Maxwell's equations describe how electric and magnetic fields are generated and altered by each other and by charges and currents.Faraday's Law of Induction,given by $\oint \vec{E} \cdot d\vec{l} = -\frac{\partial \phi_B}{\partial t}$,states that a time-varying magnetic flux induces an electromotive force $(EMF)$.In static conditions,the magnetic flux $\phi_B$ is constant with respect to time,so $\frac{\partial \phi_B}{\partial t} = 0$,which reduces the equation to $\oint \vec{E} \cdot d\vec{l} = 0$.While the equation holds true in static conditions,it is specifically defined to describe the phenomenon of electromagnetic induction that occurs only under time-varying conditions.However,the question asks for an equation that is valid for time-varying conditions but not valid for static conditions in its general form. Actually,all Maxwell's equations are valid for both,but the term involving time variation is only non-zero when conditions are time-varying. Among the choices,the Faraday's law equation explicitly represents the dynamic coupling.

Which of the following Maxwell's equations is valid for time-varying conditions but not valid for static conditions?

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