P29_011 - 11. Since the total force given by F = e(E + v ×...

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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, 2 E=B 2eV = (1.2T) 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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