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Problem 18 Medium Difficulty

(a) Dctermine the clectric ficld strength at a point 1.00 $\mathrm{cm}$ to the left of the middle charge shown in Figure P15.10.
(b) If a charge of $-2.00 \mu \mathrm{C}$ is placed at this point, what are the magnitude and direction of the force on it?

Answer

a. $2.00 \times 10^{7} \mathrm{N} / \mathrm{C}$ to the right
b. 40.0 $\mathrm{N}$ to the left

Discussion

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Video Transcript

hellish range. Let's start our discussion. Electric field. Suppose we have a lying in which at three at times that this is position one. This is the middle position to and this is the position. Tree at 0.16 Microgram charges placed at 1 to 1.5. Michael column charges placed an at 0.3 minus two. Micro Quillin charges. Plesch. The separation between one and two is three cent imager. And within 20 threes. Two centimeter? No, at 0.4. The separation with 1.4 and do is one centimeter. No at point for we have to find out the night electric field. Basically the strip. At these three point, there are charges they will contribute their liked feels towards four. Okay, So electric field on four do toe one will be okay. Cool one by our square. That will be nine into tennis by nine into six in tow. Tenders by minus six. School um, by Tito point Geo two meter square. Okay. Ah, separation between one and forties to send two meter. Okay. If you solve this, you will get you will get the value 1.35 in tow. 10 days. Bar it. Newton book Coolum This is the e phone And this is it this direction He for one, OK, Because this is the positive charge. OK? No electric field on four. Do toe to will be. Okay, Cue to buy our school. That will be nine into 10. Respond nine in tow 1.5 into 10 days. Bar minus six. Coolum by judo point. Judo one meter square. If you solve this, you will get the value 1.35 in tow. 10 This bar a Newton book, Fulham. And this electric field is in this direction he for two. Now you can estimate that he for one and e four to will be cancelled out because they both have the same magnitude off electric feel and Ari opposing directions. Okay, so electric field on four do toe three will be cake you tree by our square and that will be nine into 10. Respond nine in tow. Two into 10 This par minus six Coolum by So centimeter plus once intimated that is trees, intimidator Jiro Point Bot. We just so from here we will get the value is a crystal. Don't interrupt endless par seven new Temple Coolum. And this electric field is in this direction. That is E 43 And the Net electric field is also in direction. And that is a cool and to be 40 because e for one and the 42 are canceled out. Okay, not like us. Suppose if we placed, uh, this is our position One, this is too. And this is three six Micro Coolum, 1.5 micro Coolum and minus two Micro column Now at Port four, if we are placing a charge off minus two Micro Coolum. Now we have to find out the neck electric force at 20.4 because at 0.1 toe and treat there are charges, David. Definitely contributing electric force on charge, for if a charge is lies on this point for Okay, so force on four due to one will be OK. You want do for by by our square on nine. Interdependence by nine into six into tennis par minus six School um, in tow to inter tenderness, part minus six. Coolum. Here we are taking only the magnitudes off charges and separation is who's intimated. That is joe 0.2 meters. Quiet Separation is similar to earlier. So if you saw this, you will get the answer off to 70 Newton. Not this force lies in this direction. Half full one have for one. This is the magnitude. Okay, so now I, for two, will be That is force on four. Do toe put two will make a Kubu fall by our square And that will be nine in pretenders by nine into 1.5 into 10. Respond minus six Coolum in tow to entertain this by minus six. Coolum by 0.1 Me too. Square. It will comes to be so 70 Newton. But this to 70 Newton easing this direction, that is effort. Now you can get that the F 4 1.5 or two starting a positive direction and have Goldman Turks. So David, cancel out. Okay, so now the four for four do The three will be ok. Q for Q tree by us. Well, and that will be nine into tennis. Part nine in tow to inter 10 disbar minus six. Coolum in tow to interdependence par minus six. Coolum by Jiro 0.3 meters. Quiet! Okay, so my soldering this you will get 40 Newton. But this force lies in this direction f 43 So the neck force is atthe net and is a cool toe. Have 40 because the forces have for one and therefore to power. Cancel out. Okay, well, this is all for me for this video. I hope you will like the video. Thank you.

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Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Christina K.

Rutgers, The State University of New Jersey

Zachary M.

Hope College

Aspen F.

University of Sheffield

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp