Chapter 25: Q. 16 (page 709)

An electron with an initial speed of $500, 000 m / s$ is brought to rest by an electric field.
a. Did the electron move into a region of higher potential or lower potential?
b. What was the potential difference that stopped the electron?

Short Answer

Expert verified

a. The electron has shifted into a lower-potential zone.

b. $V_{1 \to 2} = 0.712 V$

Step by step solution

Given information and theory used

Given : Electron's initial speed : $500, 000 m / s$

Theory used :

From the equation ofconservation of energy, we have : $\frac{m v^{2}}{2} = - e V_{1 \to 2}$

Determining if the proton moves into a region of higher potential or lower potential

a. Because the kinetic energy of the system has reduced, the potential energy has increased. The product of the charge and the potential difference equals the change in potential energy. Because the electron is negatively charged, the potential energy must increase in order for the potential energy to grow.

As a result, the electron has shifted into a lower-potential zone.

Determining the potential difference that stopped the proton

b. As a result of energy conservation we have :

$\frac{m v^{2}}{2} = - e V_{1 \to 2} \Rightarrow V_{1 \to 2} = - \frac{m v^{2}}{2 e}$

Substituting $m = 9.11 \times 10^{- 31} k g, e = 1.60 \times 10^{- 19} C$ , we have :

$V_{1 \to 2} = 0.712 V$

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An electron with an initial speed of $500, 000 m / s$ is brought to rest by an electric field.
a. Did the electron move into a region of higher potential or lower potential?
b. What was the potential difference that stopped the electron?

Short Answer

Step by step solution

Given information and theory used

Determining if the proton moves into a region of higher potential or lower potential

Determining the potential difference that stopped the proton

One App. One Place for Learning.

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An electron with an initial speed of 500,000m/sis brought to rest by an electric field. a. Did the electron move into a region of higher potential or lower potential?b. What was the potential difference that stopped the electron?

Short Answer

Step by step solution

Given information and theory used

Determining if the proton moves into a region of higher potential or lower potential

Determining the potential difference that stopped the proton

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Work Energy and Power

Nuclear Physics

Mechanics and Materials

Fields in Physics

Oscillations

Conservation of Energy and Momentum

Study anywhere. Anytime. Across all devices.

An electron with an initial speed of $500, 000 m / s$ is brought to rest by an electric field.
a. Did the electron move into a region of higher potential or lower potential?
b. What was the potential difference that stopped the electron?