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Unformatted text preview: 11. Since the total force given by F = e(E + v × B ) vanishes, the electric ﬁeld E must be perpendicular to
both the particle velocity v and the magnetic ﬁeld B . The magnetic ﬁeld is perpendicular to the velocity,
so v × B has magnitude vB and the magnitude of the electric ﬁeld is given by E = vB . Since the particle
has charge e and is accelerated through a potential diﬀerence V , 1 mv 2 = eV and v = 2eV /m. Thus,
m 2(1.60 × 10−19 C)(10 × 103 V)
= 6.8 × 105 V/m .
(6.0 u)(1.661 × 10−27 kg/u) ...
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