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2) 4 charges are fixed to the corners of square of side 0.53 cm. Charge 1 of ~ luC is fixed to the top left corner. Charge 2 of -2uC is fixed to the top right corne...

Question

2) 4 charges are fixed to the corners of square of side 0.53 cm. Charge 1 of ~ luC is fixed to the top left corner. Charge 2 of -2uC is fixed to the top right corner; charge 3 of 3uC is fixed to the bottom left corner; and charge 4 of ~ApC is fixed to the bottom right corner_ a) Find the magnitude and direction of the electric field at the center of the square b) Find the potential at the center: c) Find the electric potential energy of the system_

2) 4 charges are fixed to the corners of square of side 0.53 cm. Charge 1 of ~ luC is fixed to the top left corner. Charge 2 of -2uC is fixed to the top right corner; charge 3 of 3uC is fixed to the bottom left corner; and charge 4 of ~ApC is fixed to the bottom right corner_ a) Find the magnitude and direction of the electric field at the center of the square b) Find the potential at the center: c) Find the electric potential energy of the system_



Answers

Four point charges are arranged in a square with side length $2 a$, where $a=2.70 \mathrm{~cm}$. The charges have the same magnitude, $1.50 \mathrm{nC}$ three of them are positive and one is negative as shown in the figure. What is the value of the electric potential generated by these four point charges at point $P=(0,0, c)$ where $c=4.10 \mathrm{~cm} ?$

Hello students in this question we have given the four charges that is Cuban equals to one into 10 to the power minus column. Q two equals two minus two into 10. To the power minus eight column. Q three equals 23 to 10. To the power minus eight column and a Q four is equals 22 and 2 10 to the power minus eight column which are placed at the corner of a square of side eight equals to four metre. So we have to calculate the potential at the center of the square. Okay so these are the charges. So here we have the charge Cuban here we have charged you two. Here we have cutely and here we have you for Okay. And the center which is located here. Okay this is supposed point hope or we have given the one piece of the United States is no the distance from each corner to this point P is supposed are and that will be equals to able to from the genetic so is one and this is too. So this is the art. Now we can see here that each charges each charges are at the same distance that these are here. So the electric potential will be the algebraic addition of the charge Q. Divided by four by excellent. Not murder these assistants are. So this one by 457 notice 90 to 10 to the power nine. And that algebraic addition of this charge will be addition of this and where their babies which can be taken out so one minus two plus three plus two And when played by 10 to the power -8 and develop our that is equal stolen by under. Okay so we can solve this value. So we will obtain that. This is equal to four. Okay so nine plus four and murdered this too. So it means this is equal to the This is nearly equals to the V50 nine Fold. Or from the given options Near value can be taken as 507 vote. That is option eight. Taste the answer for the problem. Okay thank you.

Okay. And this problem. We have charges organizing the square so you could say charges on the square. The length of square is about eight centimeters. We have a charge of Q on one corner, a charge of of two. Q on another corner, three Q and two. Q. I believe this is in a particular order. We also know the charge is equal to 3.1 micro Coolum. Let's draw out what we're talking about, right? These air in a counter clockwise order. Cue to cue. We have negative three to you and took you. All right. We're asked to find the total electrostatic energy this configuration we can use, using the fact that you is equal to Q V for a particular pair of potentials. And we need to add up all the pairs of potentials so we would have you is equal to one over for pie. Absolutely not. Do you want you to over the distance between the two of us? Q. On Q three. This is between one and three. You want you for just one of four. You see the pattern. Do it for all possible pairs. One more term doing for our 34 Good. And so we just need to be careful about what these distances are for using our. And because she was the same in all cases, we could simply pull it. Q. Score it out for Priceline nuts. So we have. Oh, actually, it is not that simple. Let's let's take a step back. So are two Charges are different in this case of different on every corner, so we have to be much more careful. So this case, we would have ah Q to Q over l. Let's cue negative. Three. Q over route to l gonna count that cross diagonal distance? Let's cue to cue or l was to Q native freak you over. L was to Q uh, three. Q over to L. You see the idea? I get three to do this to exhaustion, to chew over L. Okay, so we got a bunch of terms now. He should do able to simplify this all down. We say we have a Q squared and every single one of these terms. We're gonna pull it out. Let's go to different page. Finish this up. So pulling at you squirt out if you get Q squared over four pipes or not. When it was always said and done, we end up with eight of a route to Oh, and also we can pull a little out there. Oh, this little mistake there, brother, we're talking about one over route to minus aid would be what this is, what it's simplified, which will come out to be after playing in our charge of. Q. What show actually show the steps you have 3.1 to 10 the negative six glum square that for pie. Of the four pipes or not, we can just have calculated at all on its own. Just so we have 0.8 meters for a distance for l. We have about 90%. The nine Newton meters squared Colome squared. That's our one overflow camps are not. And lastly, we pulled by all this by one by one of her two minus a, and we will get for answer negative 7.9 jewels and that's it.

Hi, friends. This is a problem based on the concept of electric potential. How far? One judge. Yeah. Yeah, right. At a bunch he's given by Cuba and electric potential energy is charter interpretation. Mhm. Yeah. Yeah. When first part, When a judge, it's placed and Kate potentially at a YouTube one. Cuban by and and potential added to your baby get you to buy a car. So the electric potential energy at a baby 23 into potential at a That is we haven. Plus, we ate too. 23 Okay, Cuban we are. Let's get you to buy a car. Are believing half of that. I wouldn't. You can I get you three upon? Yeah, Q three upon. Burn upon. Look to help president upon end. Okay, you three by 10. This is Cuban and this is true. Yeah. Mm. No substitute develop. Gay is 9 to 10 to the power nine. Q three is minus 6 10 to the bar minus night. Cola Google s well 25 into 10 to the bar minus nine Ruutel and is one She would do his four into 10 to the power of his name. This is the end sweating I have been a mistake here that we correct length of the sirens 0.25 So Human branch, The electric potential energy in this case 1.1 point 09188 and do the par minus 62 when charges placed at Bebe, right? Yeah. Look. And a quick potential energy Q three into potential at B. That s Q three. And to get you one by a uh huh. Get you to buy a roof to it so it could be written s k 23 by N. You won't bless you too. Upon door to now putting the value he is 19 to 10 to the bubble nine Q three is minus six and 2 10 to the par minus nine upon 90.25 Cuban is 1.5 and your 10 to the four minutes nine upon the heart simplifying you will get minus point 93 9 and 2, 10, 24 minus 62. That so? Thanks for watching it

This question given to charges that lie at the two corners off a square Q one and Q two. And I know you want to put a touch. Joshi que treat has he charge off a minus six time stand up all by just nine collapse. Hey, we got a place that point a point b Two different points and we want to investigate what? It's the respective electric potential energy. Acutely were half, if you please, that he or peace on the electric potential energy is to find as take a the church if the object they're interested in what's going by the potential at a particular point right away. Lice. Now the only thing that's going to change if you were to shift it from a to b iss the potential potential day experiences, and that will affect your energy. And so we're gonna find ways to potentially and potentially potential due to a single charge. Single churched particle would be given s 14 pi. So not times cute over R where r is the distance from the point to your charged object, right. And in this case, we have to charge an object up, contributing to the potential, and that s Q and Q two. So from Q one, do you distance from a to Q one would be to times L right, my particular student. But I don't forget about the potential contribution from Q two s. Well, que two. What distance would be just l do the same thing for point b que on the distance is l off. Q two registers is too time cell. So no, we can find out what he saw. Electric potential energy for Q tree at point E So you want to buy que tree by potentially a All the values we already half and given. So I've flown. Not here, Steve for me, duty or fisheries and l is the length off the square that it's your 0.25 meters. And so oh, answer what? This should be negative from 00.1. Stand up all my best six jurors for electric potential energy at B, we should get negative. 2.9 tree Tom sent home when this six truce


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