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Problem 32 Hard Difficulty

Three charges are at the corners of an equilateral triangle, as shown in Figure $\mathrm{P} 15.32$ . Calculate the electric field at a point midway between the two charges on the $x$ -axis.

Answer

$1.44 \times 10^{6} N / C$

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Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

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Video Transcript

I had a strange let's start our discussion. Supposed you have a triangle? Okay. With one side's lives on the origin, this is our Y axis. And this is over. X axis at the corner off the triangle Here. Three. My curriculum charges placed hair, eight micro column, charges pledged. And hair five. My curriculum charges Blesh. Let's name them one to know you have to find the electric field at the middle off these charges that lies on X axis. So we have to find electric field on this point like named MP. Okay? Soul and the sides off the triangle are 0.5 meter. This and here the angle is 60 degree. Okay, Full. Okay, So electric field on be due to one Really Que que? By our square. Taking one basket that will be nine in pretenders by nine into three in two tenders by minus six. Coolum by separation. Basically, all sides are off 0.5 meter. So we have to calculate the the stents off one p. See how we can kill play. Triangle one b this'll point is treat 10 60 will be four point liguera phone base and the perpendicular is one p eso wrote three into base. That is 30.25 meeting. The whole side is off 0.5 meter and half will be off 0.5 meter. So it will be 0.43 meter. Okay, judo point for three meters square. So by solving this, we will get the value off 1.46 and pretend this par five Newton Bold colon. Okay. No electric field at point B. Do 2 to 3 d kick you toe squeal. And that will be nine into $10 by nine into five. Interdependence by minus six. Coolum by Joe Point Do five square my solving this will get up there. You off two. Point it A into 10 list Bug fly Newton book William. Okay. This is the manager on electric Feel at being due to be will be que cutely by our square. And that will be nine into tenders by nine Into it in tow. Tenders by minus six in tow. Point No. Five square on. If you sold, this will get the value off 11.52 into 10 days. 55 new temple cooler. See if this is the point. B then e p one is in this direction. E, we do isn't this direction And e b is also in this direction for let electric fear will be ill this direction. Okay, let Okay. So first we have to resolve gp two and gp tree the angle. Brickman, If you do and eat, the three is you know. Okay. So we have the formula off. Your neck is even square. Yes. Eat the square. Let's do even you too, Gosta. Okay, so for eat be doing e p t. The t dies zero degree thesis tutor. If I put the value like need their lead the next electric field between a big win eight treaty do tree. Okay, so it will be he beat a square? Yes, he Petri square blush to he be e Vetri course general. So simply we will get the value off. We pray to bless e Bt. Okay, so no. By adding them it is doing into tenderness about five plus 11.5 toe into 10 days. About five. We will get the value of 14.4 into 10 years. Bar five Newton Bakula. These are pulled my old magnitudes we are taking No if this is the 0.238 to 3 is in this direction and eat. The one is in this direction. We have to find out the net electric field, so angle between them is 90. Okay, so at 90 degree at cost 90 at course 90 this time will be removed, will be vanished. So we will get the value from here E to three square plus e b one squid. This is our next result and electric feet to the magnitude of four. Natural Eric Electric field. Okay, so it will be 14.4 include tennis five all square plus in people on you. 1.46 in 10 days bar five whole squid. So we will get the final answer 1.44 into 10 days by six Newton Pakula This is a one net electric field and this isn't this direction he let Well this is all from before this video. I hope you will like the vigil. Thank you

Other Schools
Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg

Meghan M.

McMaster University

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp