In a certain region of empty space, the $z$ component of the magnetic field is changing with time. If we sum $\vec{E} . d \vec{r}$ for a set of tiny steps $d \vec{r}$ around a closed loop in the $x y$ plane, we will get a nonzero result.

Question

Quizplus · Accepted Answer

According to Faraday's law of electromagnetic induction, a changing magnetic field induces an electric field. This induced electric field around a closed loop is described by the integral of $\vec{E} \cdot d\vec{r}$ around the loop, which will be nonzero if the magnetic field through the loop is changing with time.

In a Certain Region of Empty Space, The zzz Component of the Magnetic Field Is Changing with Time

In a Certain Region of Empty Space, The $z$ Component of the Magnetic Field Is Changing with Time