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Charges 41 +3.6MC,9z =-2,8 #C,. and 93 +1.7 /C are arranged in a setup as shown below. Find the magnitude and direction of the electric field at the point ? Assume ...

Question

Charges 41 +3.6MC,9z =-2,8 #C,. and 93 +1.7 /C are arranged in a setup as shown below. Find the magnitude and direction of the electric field at the point ? Assume that the dashed lines shown below form square: Let d = 26 cm:2'12 z

Charges 41 +3.6MC,9z =-2,8 #C,. and 93 +1.7 /C are arranged in a setup as shown below. Find the magnitude and direction of the electric field at the point ? Assume that the dashed lines shown below form square: Let d = 26 cm: 2' 1 2 z



Answers

(II) Determine the direction and magnitude of the electric field at the point $P$ in Fig. $16-54$ . The charges are separated by a distance $2 a,$ and point $P$ is a distance $x$ from the midpoint between the two charges. Express your answer in terms of $Q, x, a,$ and $k .$

I have given. This is a problem based on calculation off electric field intensity at any point due to the system off two point charges. Here it is given two point charges minus Q and Glass Cube separated apart, mhm by distance to wait. There is a quite P after the strengths x from the mid point of the two charges, that is, oh, piece called two X and a V skull toe too weak. So you may say who else called tow vehicle to? We have to find the full intensity at Point B Electric field at P Do toe rescue charge will be in this direction even and in due to minus you charge it will be have you implement So it is even magnitude off magnitude off even will be greater than he took, so that electric field at any point will be even my lesson. Uto Hello, the line B 24 Now we will calculate the magnitude electric field off plus Q at the building. Take two upon BP script and he to having the value que cube ap Square take you. You can take common from the figure BP can be written. Us will be my next movie. That is X minus a holy script. Adam MP could be written us A. Plastics are explicit. No, simplify it. Take calcium in tow. X minus A holy square in tow. X plus a holy square X plus a holy squared hex minus thing whole. Describe simplify, numerator and denominator. We will get take you in tow. Full eggs into a upon access square minus a square, 40 square. So total field at any point. Yes. Four K Q. Eggs into a upon access square minus eight square. What is where Alone. P 20 direction Group, That's all. Thanks for watching it. Yeah, yeah.

This is Chapter 21. Problem number 48 route given a diaper. And we asked to calculate the electric field at a point x away from the center off the disciple halfway between these two charges. So this distance here is given 12 as a in this distance is gearing. Tow us, That's X all the way to the point. Peek again. We're trying to Germany Total electric field at P and also directional Right now, um, as you know, let me raise this point. We don't know that this is acceptance. I can shoot. Sure. Everything were clearly on the figure and the electric field. Due to the positive charge, let's talk about this. So the distance between the charge and this point is let's they are. And it will be the hotness of this right triangle. Right? So from, um, the worry of Vera, um, it's gonna be a skirt bus, that square. All right. The electric field, due to a positive charge, is always a way radio and went away from the positive charge from its hold is on a trip. You e positive. Q No, this fire is the negative charge is concerned. Actually, the electric field is always gonna be pointing towards that magnetic church. And it's called this magnitude e negative, too. Now I want to show you how the magnitudes of these two electric fields air actually equal to each other because of magnitudes. We're looking at the absolute value, right? So he closet in. Q. It goes, be cube, that being K cube over our square about meaningful to kay Q Um, over a squared plus X square. All right, so let's call this and be ready, Okay? Because these air cool to the scene magnitude of electric eels. Now, if that's the case, then let's look at the X components off off this e vector. So this would be easy X, then in the opposite direction. We have peace affects due to the negative charge. And as you can see, the magnitude very cool. So the explosive moments are going to cancel each other out. Expose the Wycombe floated this concern than the total electric field is actually twice the electric field in the wire direction. So then e So he's gonna be going to plus e why and how are we gonna calculate you? What, by just figuring out what the handle is here, right? So if this angle is data, then why component? He's been vehicle t sign data e being what we defined initially. And let's figure out what scientific is signed by Today's opposite a overhype autumn years over. All right, t a over r r the spirit of a square. Plus experts of what we have e a over Hey, spread plus x squared. All right, this is E Why now then the Whitfield at point Peace price of this So it's gonna be plus, the electric feels a over spirit of face. Cross X squared. Now, finally, our final answer needs to in terms off Q and A and X. We can't just leave the electric feel like this Since we know what it it's equal soon began. Just substitute for it. So to K Q Hey, right over Haysbert plus experience. We also have hey scared wants expert square root of this so I can write it as 1/2 here. Then if I would combine these two terms says we have a hidden one here one plus 1/2 que que two que que hay over hi squared plus expired three over to. This is our final answer and this is the magnitude. Then what is? The direction is you know, clearly as you can understand from the figure it's in the negative. Why correction?

This is Chapter 21 Problem number 28 arrests to calculate the magnitude and direction of the electric fuel midway at a point midway between two charges. Kyu Wan equals negative G. My group belongs in Q two is 5.8 my gloves and these two charges are 8 10 meters apart. Now let's drawer Q one negative microphone and then we can cue to its heat like problems in line that connects them to each other. This is eight centimeters, right? But we're asked the magnitude of the total electric field at a point between the two. The middle point, right, So then it divides this are into two house. So this first portion being four centimeters are over two and the second portion mean also for seven years. All right, now, how are we gonna determine that the electric field total electric field at this point? Right? That's the question. First of all, we're gonna have to contributions to one is going to generate its own field at this particular point. And que tu also gonna generate its own electric fuel. We know how to calculate the magnitudes, right? We remember the electric field equation. The magnitude of the electric field is K two over are so are being the distance from the point that you're interested in to where your charges he was the amount of charge. Whatever. Let's just talk about the directions. If we have a negative charge, the electric field that a negative charge generates is always gonna be towards the charge itself. So if you want to call the electric field generated by two on E one, then it's gonna be wants direction is going to be pointing the negative charge. Now, if we have a positive charge at a particular point that we're interested in finding the direction off the electric field, then we have the opposite, right? So the electric field generated by a positive charges always outwards, radiantly, outwards, right? So then it's gonna be away from a positive charge, which makes the electric field also in the same direction as E one. Right. So we have to electric fuels at this particular point, the midpoint between the two charges and in order to calculate the total electric field. At that point, what we need is we need to find these individual feels and write them down in the vector form and basically take the information from the superposition principle. All right, so let's write the magnitude of E one for now. You want it being the electric field generated by Q one. So it's gonna be okay. I'm just writing the magnitude. That's why I'm putting the absolute value here. Let's call this distance as our one squared, you know? Well, I'm calling this Distances are one are one meaning are one equals. Let's divide divide that define our two. Also, they're equal to four centimeters, which is the half off our that is given to us in a problem. Now, this is the magnitude of you want. The direction of the one is pointing left so conventionally foreign vector pointing left. We use negative. I had correct. So I wrote a long vector. Now I'm gonna add this to the to Victor. Let's calculate the magnitude of meat to victory is gonna be Que que thio I am Well, let's put it in the absolute value. Even Lloyd's positive so that it would be good exercise for you. And then he, too is all save the negative. I had direction. Now all we need to do is just blood in the numbers and then figure out what the total electric field ISS will walk to the next beach. So Hee total equals K. A 0.99 times Center core nine people leader squared over cool squares. The charge. The magnitude off the charge. It's eight times center gram negative. Six full arms again on did the version from microprobes to blow in. Denominator had 47 meters in comfort. Convert that two meters first and then take the square. Remember, the unit vector was negative. Hot plus 8.99 times Center for nine meters squared over cool square times. The second charge 5.8 types Centerfold Negative six pullovers. I did the conversion again. And denominator, I have the same distance again. Negative. I had your both pointing. You forget about spiritual ever here We find the magnitude to be 7.8 times central. Seven. Newton's Newtons per cool Shut in negative hat direction. What does this mean? What did we call negative? I have It's actually towards the negative charge. Correct. So direction is awards the negative charge. Okay,

Hi. In the given problem they raise a right angled triangle. I saw silliness right angle triangle, we should say because its base and perpendicular boat are having the same length which has given us A each. If you name this right angle triangle as a B. And see then there is a charge less A positive charge. Bless you would act the vortex. A another positive charge. Last 2.0 Q. put at the Point B. And one more positive charge. Bless you again. Put at one seat. Then due to these three charged particles, we have to find in an electric field and net electric field at a point midway between the two charges. Put at and see all we can say at at the midpoint of hyper tennis of this right triangle As this is an I saw slice, right angle rangel. So this angle is 45 degree. If this angle is 45 and this is 90°. We have drawn Are normal to the hyper tennis. So this angle will also be 45°. So here this will also be an isosceles right angled triangle, which one? This is a P. B. So we can write as a triangle abc is. And I saw Celis right triangle. So strangle E. B. B will also be I saw Sealy's right triangle. No, the length the hyper tennis will be a route to. So this is a P. Or B. P. Both of them will be equal to a route to by two. So, first of all, if you look for the directions of electric fields at this point B, we know electrical goes away from the positive charge. So electricity at P. Due to A. That will be going away and electrical get the same point due to be that will also be going away. So these two electric fields e. Due to A. And eat you to be as the charges are same having Q magnitude Q. Each. And the distance is also seeing a piece were to be a P. Was too busy. So electric fields will also the same. That's why these two electric fields will cancel each other. So as the electric fields at point B. Due to yeah two charges of Q. Each at A and C. Are equal and opposite in direction. So they will cancel each other. Hence in that electric field at B is due to the charge 2.0 Q. At the only was distanced BP. We have already Found it to be a two x 2. So that electric field net electric field at point B will be given by okay into charge which is Tokyo divided by the distance which is a Route two x 2. The whole swear. So it will come out to be K into Tokyo By a square into two x 4 means this is a square by two. So finally it will be given by K into for Q by a square. So this is the net electrically eight point B E. Is equal to four Q by a square. The magnet europe electric field At the given observation point. And it is directed as this plus 2.0 Q. That is also positive. So it is director RV from this charge which is at want to be and if you look for its angle, if you consider this to be the X axis, This angle will be 45°. Hence you can say this is at an angle of 45 degree counterclockwise from positive X axis. So this is answer. Complete answer for the given problem. Thank you.


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