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Q. 19

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 624

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Short Answer

What is the force on the charge in Figure ? Give your answer as a magnitude and a direction.

Force within the terms of magnitude and direction is

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Step by Step Solution

Step1: Derivation by tip-to-tail method

I propose drawing a three-point charged graphic because we'll be using superposition and symmetry to create this problem a touch bit easier to answer.

The problem requires us to see the scale and direction of . The direction of may be determined using superposition. must be facing upwards since and have the identical amount of charge, are at the identical distance from , and are all positive. Also, we may use the tip-to-tail approach to work out where stops. Because the -components cancel one another out, this proves to be incredibly advantageous. As a result, we all know that only features a -component. last but not least, some important information The last piece of data we are able to glean from this diagram is that . This can be why images and ideas like superposition and therefore the tip-to-tail approach are so valuable.

Step2: Diagram

Step3: Find force in terms of magnitude and direction

To get,

Because we demonstrated before that , we will simply double it to induce. It's worth noting that the negative only indicates that the -component is positive.

By, . This section also understand to, but the calculated number will be thought of because the hypotenuse of a triangle.

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