# Electric and magnetic fields

If a charge $$q$$ is placed at rest at a point $$P$$ near a wire carrying current $$I$$, with some distance $$x$$, it experiences almost no force. However, if the charge $$q$$ is projected from the point $$P$$ in the direction of the current, it deflects towards the wire.

Now my question begins. Let us consider this event in front of two observers. One is moving with the velocity $$v$$ which is also the velocity of the charged body. For the observer who is at rest for him it is a pure magnetic field, and for the moving observer it is an a electric field. However both observers agree with horizontal distance traveled by a charged body as they are unaccelerated with respect to each other. I wonder why can’t the force acting on the charged body effect its vertical velocity.

Please try to understand me this entire process with the help of special relativity. How can’t the vertical velocity of the charged body have no effect.

• Can you include a diagram? Which direction are you calling "vertical"? – The Photon May 23 at 6:33
• @ThePhoton it is showing “error while uploading the image – Sparthunaxx May 23 at 7:01
• @ThePhoton vertical direction is one which the direction of current (I),charged body and the moving observer ,these three are moving along vertical direction – Sparthunaxx May 23 at 7:27
• This question is extremely hard to read because the whole first paragraph contains no periods except at the end (making it seem like a single run-on sentence). Additionally the irregular spaces around the commas (sometimes no space, sometimes spaces on both sides, sometimes only on one) don't help either. Please try to use regular formatting and punctuation so that other users have an easier time reading your posts - this will improve your chances at getting an answer considerably. – ACuriousMind May 23 at 10:52
• @ACuriousMind Thank you for addressing sir , can you at least understand my question and tell me where am I exactly going wrong. – Sparthunaxx May 23 at 18:16