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Q. 16

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 709

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Short Answer

An electron with an initial speed of 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?

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

b.

See the step by step solution

Step by Step Solution

Step 1 : Given information and theory used 

Given : Electron's initial speed :

Theory used :

From the equation of conservation of energy, we have :

Step 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.

Step 3 : Determining the potential difference that stopped the proton  

b. As a result of energy conservation we have :

Substituting , we have :

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