Relative Moving Charge: Electric vs Magnetic Field

[jmnance]

So what is the answer to "if I am moving at velocity v with respect to a single charge, charge q, will I see the electric field as I would at rest with respect to the charge, or will I see a magnetic field? what will be the strength of the magnetic field?"

 

[pmb_phy]

So what is the answer to "if I am moving at velocity v with respect to a single charge, charge q, will I see the electric field as I would at rest with respect to the charge, or will I see a magnetic field? what will be the strength of the magnetic field?"

You will observe a magnetic field which has the value

B = -$\gamma$$\beta$xE

where E is the electric field as measured in the charges rest frame. Note: that $\beta$ is supposed to be in bold because its a vector.

Pete