A charged particle moves in a straight line as shown between the metal plates, t

Question

A charged particle moves in a straight line as shown between the metal plates, through a uniform magnetic field B = 4 × 10 ?3 T. The velocity of the particle is 1.2 × 10 7 m/s, and the potential difference between the plates is 400 V. The separation betwee n the plates is therefore

A charged particle moves in a straight line as shown between the metal plates, through a uniform magnetic field B 4 × 10-3 T. The velocity of the particle is 1.2 x 107 m/s, and the potential difference between the plates is 400 V. The separation between the plates is therefore a) 8.33 mm b) 133.3 mm c) impossible to state without +400 V impossible to state without knowing the charge q.88888 B d) 1.2 m e) 120 m

Explanation / Answer

force acting on a charged patricle f = qvB sin(theta)

f = qE = qV/d

qV/d = qvB

d = V/vB = 8.33 mm

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