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Q. 30

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 654

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Short Answer

An electron in a vacuum chamber is fired with a speed of toward a large, uniformly charged plate away. The electron reaches a closest distance of before being repelled. What is the plate’s surface charge density?

The plate’s surface charge density is

See the step by step solution

Step by Step Solution

Step 1 : Given information and formula used

Given :

The electron is fired with a speed of :

Distance from the uniformly charged plate :

The electron reaches a closest distance of :

Theory used :

The electric field owing to an infinite plane is calculated as follows:

The electron's force

The electron's work consists of the following:

Step 2 : Calculating the plate’s surface charge density 

Finding :

Finally, we locate :

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