After the electrons in Example 16.8 pass through the anode,...

After the electrons in Example $16.8$ pass through the anode, they are moving at a speed of $8.4 \times 10^{6} \mathrm{~m} / \mathrm{s}$. They next pass between a pair of parallel plates [ $(\mathrm{A})$ in Fig. 16.31]. The plates each have an area of $2.50 \mathrm{~cm}$ by $2.50 \mathrm{~cm}$ and they are separated by a distance of $0.50 \mathrm{~cm}$. The uniform electric field between them is $1.0 \times 10^{3} \mathrm{~N} / \mathrm{C}$ and the plates are charged as shown. (a) In what direction are the electrons deflected? (b) By how much are the electrons deflected after passing through these plates?

Key Concepts

Projectile Motion and Kinematics

When charged particles enter a region with a uniform electric field, their motion can be analyzed similarly to projectile motion under gravity. The particle's initial velocity in one direction remains constant while the acceleration due to the electric force acts in the perpendicular direction, allowing the use of kinematic equations to calculate deflection or displacement.

Uniform Electric Field

A uniform electric field is one that has the same magnitude and direction at every point within a specific region. In such a field, any charged particle present will experience a constant acceleration, meaning that the force acting on the charged particle is invariant with time and position within the field.

Electric Force on Charged Particles

This concept involves the fundamental principle that a charged particle experiences a force when placed in an electric field. The force is given by F = qE, where q is the particle’s charge and E is the electric field’s magnitude. For electrons, which have a negative charge, the direction of the force is opposite the field direction, leading to predictable deflection.

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