a thin glass rod forms a semicircle of radius r

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In the figure, a thin glass rod forms a semicircle of radius r = 5.00 cm. Charge is uniformly distributed along the rod, with +q = 4.50 pC in the lower half and –q = -4.50 pC in the lower half. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the electric field E at P, the center of the semicircle?
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I just realized this was posted in 2016, I would be failing my 2024 Physics class without you.

skillskull
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You are my hero WNY Tutor guy!!! There is almost nothing like this in the actual physics book to describe the details involved in this problem.

thenatmann
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Thank you so much for this! I was so incredibly confused after the lecture on how to solve a problem like this. Your instructions are crystal clear, thorough and overall EXCELLENT! I really get what's going on now. I appreciate you so much!

EARSPLACE
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I'd pay a subscription service for this kind of work...some things just need to be explained in more detailed and need more than writing 3 formulas on a sheet of paper (yet, there's a handful of websites that'll charge for this).

Thanks again.

sneakeyboard
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Very good explanation, very good video. Thanks for the help! This problem seemed near impossible to me beforehand.

trinityofoz
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Thank you so much for this. I really needed it.

obaka
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Thanks man! You'll get big one day

johnslina
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Great explanation and video. Thank you.

korvics
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thx man... I appreciate your help so much :)

DrSmoke
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I don't understand why sin theta is positive if the vector component is pointing down

carlosg
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I noticed that your final answer for the magnitude was a positive value, even though the direction of the movement was 90 degrees below the horizon. The question on my homework is basically the mirror of this, where the semicircle is in the first quadrant and is of negative charge. Using your method, I got a negative value when calculating the x component of the net electrical field (I did make sure to use cos instead of sin during the integration). Is that supposed to happen?

python
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i found a different answer to this same problem on the website toppr, can someone confirm that this is the correct answer? it certainly makes more sense but I just want to be sure.

ciarakinney
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Why he did not integrate dø ?? Sry if the question is silly but i need to know

diaa
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You have got my back to be veryyyy honest

ridazahra
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I love you. I want you to know that I love you

Toccobass
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Oh ho its a big mistake how can cos 90 becomes 1 as it is zero at 90 angle your procedure is wrong I appreciated but plz get some true method soln

hamzaabbasi