Electric Vehicles (EVs) represent one of the key technologies aiming to minimize fossil fuel's utilization in transportation sector and consequently mitigate air pollution. However, range anxiety and long charging time are still the biggest problems of the modern EVs. In addition, tripping hazards and possibility of being electrocuted associated with the conductors used in regular EV charging stations need to be addressed. One of the proposed solutions is to employ wireless power transfer techniques for charging. Generally, they can be divided into two groups, namely Dynamic Wireless Charging (DWC) and Static Wireless Charging (SWC). The latter is efficient, robust and relatively well studied, but is significantly limited in terms of charging time. On the other hand, DWC can potentially eliminate the charging time and reduce the size of the EV's battery. However, when the charging in motion is performed the influence of the magnetic flux density on the driver's and passengers' safety needs to be studied. Thus, this study specifically focuses, discusses and analyzes the behavior of magnetic flux density in the DWC system for EVs. In addition, it investigates and elaborates on its relation to the mutual inductance between the transmitting and receiving coils. Finally, the issue of the passenger's safety is studied via the simulation analysis of the magnetic flux leakage between the receiver coil and the EV's cabin.