A point charge +q rests halfway between two steady streams of positive charge of equal charge per unit length λ, moving opposite directions and each at c/3 relative to point charge. With equal electric forces on the point charge, it would remain at rest. Consider the situation from a frame moving right at c/3. (a) Find the charge per unit length of each stream in this frame. (b) Calculate the electric force and the magnetic force on the point charge in this frame, and explain why they must be related the way they are. (Recall that the electric field of a line of charge is λ/2πe0r, that the magnetic field of a long wire is μ0I/2πr and that the magnetic force is qv × B. You will also need to relate A and the current I.)
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