Charge q Relativity: Force Calculation & Observation

[chaotic]

A charge q is placed at a distance d from an innite charged wire carrying lamdba charge per
unit length.
(a)What is the force acting on the charge q? (b)Find the force on charge q with respect
to an observer moving moving at speed u along the wire.

 

[elfmotat]

A charge q is placed at a distance d from an innite charged wire carrying  charge per
unit length.
(a)What is the force acting on the charge q? (b)Find the force on charge q with respect
to an observer moving moving at speed u along the wire.

E and B fields transform according to the Lorentz Transformation:

$$\mathbf{E}'=\gamma (\mathbf{E}+\mathbf{v}\times \mathbf{B})+(1-\gamma)\frac{\mathbf{E}\cdot \mathbf{v}}{v^2}\mathbf{v}$$

$$\mathbf{B}'=\gamma (\mathbf{B}-\frac{1}{c^2}\mathbf{v}\times \mathbf{E})+(1-\gamma)\frac{\mathbf{B}\cdot \mathbf{v}}{v^2}\mathbf{v}$$

 

[locivert]

In a,there is no relativistic force!