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Demostrate that the transformation forumulas (3.6h) fllowfrom theformulas (3.6i)at v lt lt c. |
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Answer» SOLUTION :In the non relativistic limit, we neglect `v^(2)//c^(2)` and WRITE, `{:(VEC(E')_(||)=vec(E)_(||)),(vec(E)_(bot)~=vec(E)_(bot)+vec(v)xxvec(B)):}}{:(vecB'_(||)=vec(B)_(||)),(vec(B')_(bot)~=vec(B)_(bot)-vec(v)xxvec(E)//c^(2)):}` These two equcationscan becombined to give, `vec(E') = vec(E) + vec(v) xx vec(B), vec(B') = vec(B) - vec(v) xx vec(E)//c^(2)` |
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