Electric field and magnetic field relationship

[bernhard.rothenstein]

We find in the literature the following relationships between electric field E and magnetic field B
B(z)=E(y)V/cc
and
E(y)=VB(z)
Is there a way to define the situations when they hold?
Thanks

 

[olgranpappy]

apparently only if v^2=c^2 for nonzero fields

 

[Meir Achuz]

Your first expression is the relation between B and E for a charged particle moving in the x direction.
Your second expression is for a different situation.It gives the relation between
E'_y and B'_z if you are moving with velocity v in the x direction with respect to a pure magnetic field (no E) B_z.

 

[bernhard.rothenstein]

E and B

Your first expression is the relation between B and E for a charged particle moving in the x direction.
Your second expression is for a different situation.It gives the relation between
E'_y and B'_z if you are moving with velocity v in the x direction with respect to a pure magnetic field (no E) B_z.

thanks. is there a special name for E' in the second case?

 

[bernhard.rothenstein]

E and B relationship

Your first expression is the relation between B and E for a charged particle moving in the x direction.
Your second expression is for a different situation.It gives the relation between
E'_y and B'_z if you are moving with velocity v in the x direction with respect to a pure magnetic field (no E) B_z.

Consider please the equation
F/q=uxB
If I call E=F/q E has that E a special name?
Thanks.