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843_Physics ProblemsTechnical Physics

843_Physics ProblemsTechnical Physics - Chapter 29 P29.71(a...

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Chapter 29 183 P29.71 (a) The magnetic force acting on ions in the blood stream will deflect positive charges toward point A and negative charges toward point B. This separation of charges produces an electric field directed from A toward B . At equilibrium, the electric force caused by this field must balance the magnetic force, so qvB qE q V d = = F H G I K J or v V Bd = = × × = 160 10 0 040 0 3 00 10 1 33 6 3 V T m m s e j b g e j . . . . FIG. P29.71 (b) No . Negative ions moving in the direction of v would be deflected toward point B , giving A a higher potential than B. Positive ions moving in the direction of v would be deflected toward A , again giving A a higher potential than B . Therefore, the sign of the potential difference does not depend on whether the ions in the blood are positively or negatively charged. P29.72 When in the field, the particles follow a circular path according to qvB mv r = 2 , so the radius of the path is: r mv qB = (a) When r h mv qB = = , that is, when v qBh m = , the particle will cross the band of field. It will move in a full semicircle of radius
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