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Introductory Physics Homework Help
Nullifying Lorentz Force on Proton Moving in Parallel Direction
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[QUOTE="Celso, post: 6078910, member: 652839"] [h2]Homework Statement [/h2] A proton moves with a speed ##v = 3 \cdot 10^5 \frac{m}{s}## in the parallel direction to ##i+k##. A magnetic field of ##1T##, in the ##i+j+k## acts over it. Which electric field must we apply in this region so that the Lorentz force over the proton is null? [h2]Homework Equations[/h2] ##F = q(\vec{E} + \vec{v}\times\vec{B})## [h2]The Attempt at a Solution[/h2] My first step (and the wrong one) was consider ##\vec{v} = 3\cdot10^5 (i+k)##, then I made the vectorial product ##\vec{v}\times\vec{B}## finding ##3\cdot10^5(-i+k)##, then I simply wanted to find the electric field vector such as ##\vec{E} + 3\cdot 10^5 (-i+k) = \vec{0} \rightarrow \vec{E} = 3\cdot 10^5(i-k)## My doubt is: how do I represent the velocity vector in this case by knowing its size and which vector it is parallel to? [/QUOTE]
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Introductory Physics Homework Help
Nullifying Lorentz Force on Proton Moving in Parallel Direction
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