# Does the Lorentz force law work for time-varying fields?

When a charge particle experiences a time varying magnetic field which induces a non-conservative electric field, can we use the Lorentz force formula to calculate the force on the charge?

I think we can't because both electric and magnetic fields are varying continuously. So is there any other formulae regarding electromagnetic force? Or is the force the charge experiences in this case actually due to electromagnetic waves?

$$\vec{F}=q(\vec{E}+\vec{v}\times\vec{B})$$
with $\vec{E}$ and $\vec{B}$ showing time dependence: $\vec{E}=\vec{E}(t)$ and $\vec{B}=\vec{B}(t)$, consistent with the Maxwell's equations.