# Spatial dependence of induced Electric field

The Faraday's law and Lenz's law together give you, $$\xi = -\frac{\partial\phi_B}{\phi t}$$ or put another way,$$\vec{\nabla} \times \vec{E} = -\frac{\partial \vec{B}}{\partial t}$$. My question, I am just asking to make sure, the spatial dependence of ##\vec \nabla \times \vec E## will be the same as the spatial dependence of ##\vec B##. So for example, if in a problem, the spatial extent of the magnetic field is restricted to a certain area then it is correct to assume that the closed lines of induced electric field will also be limited (circling the same) to the spatial extent of the magnetic field. Correct?

Last edited: