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Find the under which the charged particles moving with differnet speeds in the presence of electirc and magnetic field vactors can be used to select charaged particles of a particular spped. |
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Answer» Solution :If the electic and magetic fields are perpendicular to each other and ALSO perpendicular to the velocity, then `E = Ehat(J)` `B = Bhat(k) and velocity, V = Vhat(i)` So,`vec(F) = q _(vec(E)) = q E vec(j) ` = `F_(B) = q VB_(1) = q (Vhat(i) xxBhat(k)) = qBhat(j)` Therefore,` F = q (E - VB)hat(j)` So, `F_(e) and F_(B)`are in opposite diraction, it is ao adjusted for `vac(E) and vac(B)` that magnitudeare EQUAL . Total force on change is zero and it will move in the field undeflected, i.e., q E = q VB Therefore, ` V= (E)/(B)` . This is the condition for selecting charged PARTICLE of a particular velocity. from beam of particles moving with different sppeds. |
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