Figure P19.29a is a diagram of a device called a velocity

Chapter 19, Problem 19.29

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Figure P19.29a is a diagram of a device called a velocity selector, in which particles of a specic velocity pass through undeected while those with greater or lesser velocities are deected either upwards or downwards. An electric eld is directed perpendicular to a magnetic eld, producing an electric force and a magnetic force on the charged particle that can be equal in magnitude and opposite in direction (Fig. P19.29b) and hence cancel. Show that particles with a speed of v E/B will pass through the velocity selector undeected.

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