In any region of space where a magnetic field is changing in time, there is which of these?. A) None of these.B) induced electric field, also changing in time.C) All of these.D) even larger magnetic field.E) induced gravitational field.
B) induced electric field, also changing in time.
The correct answer is B) induced electric field, also changing in time.
Explanation:
According to Faraday's law of electromagnetic induction, whenever there is a change in the magnetic field within a region of space, it induces an electric field in that region. This electric field is itself changing in time.
To arrive at this answer, one can apply the principle of Faraday's law, which states that the magnitude of the induced electromotive force (emf) in a loop is equal to the rate of change of magnetic flux through the loop. Mathematically, this is expressed as:
emf = - dΦ/dt
where emf represents the induced electromotive force, dΦ/dt represents the rate of change of magnetic flux, and the negative sign indicates the direction of the induced emf.
Since an electric field is related to an electromotive force, the induced electric field is a consequence of the changing magnetic field. Therefore, in any region of space where a magnetic field is changing in time, there will be an induced electric field that is also changing in time.