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In an interial reference from K thereis onlyelectric fieldof strengthE = a (xl + y)//x^(2) + y^(2)), where a isa constant, i findj are unit vectorsof thex and yaxes. Find themagtneticinduction B' in the frameK'movingrelative to the freameK with a consantnon-relativisticvelocityv = vkl k is the unitvectorof the z-axis. The z' axisis assumedto coinculewith thez-axis. Whatis the shapeof the magneticinduction B' ? |
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Answer» Solution :In `K,vec(E) = a (vec(r))/(r^(2)), vec(r) = (X HAT(i) + y hat(j))` In `K', vec(B') = (vec(v) XX vec(E))/(c^(2)) = (a vec(r) xx vec(v))/(c^(2) r^(2))` The magnetic lines are circular. |
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