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Q. 54

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Found in: Page 656

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A problem of practical interest is to make a beam of electrons turn a corner. This can be done with the parallel-plate capacitor shown in FIGURE. An electron with kinetic energy enters through a small hole in the bottom plate of the capacitor.a. Should the bottom plate be charged positive or negative relative to the top plate if you want the electron to turn to the right? Explain. b. What strength electric field is needed if the electron is to emerge from an exit hole away from the entrance hole, traveling at right angles to its original direction?Hint: The difficulty of this problem depends on how you choose your coordinate system. c. What minimum separation must the capacitor plates have?

(a) The bottom plate is negative to the top plate.

(b) Strength electrical field, of electron to emerge

(c) minimum separation, of the capacitor of plates is

See the step by step solution

## Step 1: Explanation (part a)

A moving electron in a magnetic field

The force on the electron is downward since the electrical field points upwards.

The electron will travel in a parabolic path.

## Step2: Find Strength electrical field (part b)

Using the equation,

By,

Expand it,

## Step3: Find  (part c)

By Trigonometry,

is the maximum height of the capacitor plate,