Saved Bookmarks
| 1. |
A non-relativistic pointcharge q moveswith aconstant velocity v. Usingthe fieldtransformation formula.Find themagnetic inductionB producedby this chargeat the pointwhoseposition relativeto the chargeis determind by the radius vector r. |
|
Answer» SOLUTION :In the referenceframe `K'` movingwith the particle, `vec(E) = vec(E) + vec(v)_(0) XX vec(B) = (q vec(r))/(4pi epsilon_(0) r^(3))` `vec(B) = vec(B) - vec(v_(0)) xx vec(E)//C^(2) = 0` Here, `vec(v_(0))` = velocity of `K'` relative to the `K` framein whichthe particle has velocity `vec(v)` Clearly, `vec(v_(0)) = vec(v)`. Fromthe secoundequaction, `vec(B) = (vec(v) xx vec(E))/(c^(2)) = epsilon_(0) mu_(0) xx (q)/(4pi epsilon_(0)) (vec(v) xx vec(r))/(r^(3)) = (mu_(0))/(4pi) (q(vec(v) xx vec(r)))/(r^(3))` |
|