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A charge (Q = +12.0 nC) Is placed on the point A, the other charge 12.0 nC} placed on the palnt E ABCD is 3 square with the length 6.0 MI shown the diagram: Wvhat i...

Question

A charge (Q = +12.0 nC) Is placed on the point A, the other charge 12.0 nC} placed on the palnt E ABCD is 3 square with the length 6.0 MI shown the diagram: Wvhat is the magnitude of the electrlc field at the C?OONIcIANC42N/C9.5 NIC16.0N/C

A charge (Q = +12.0 nC) Is placed on the point A, the other charge 12.0 nC} placed on the palnt E ABCD is 3 square with the length 6.0 MI shown the diagram: Wvhat is the magnitude of the electrlc field at the C? OONIc IANC 42N/C 9.5 NIC 16.0N/C



Answers

Point charge $q_1 = -$5.00 nC is at the origin and point charge $q_2 = +$3.00 nC is on the $x$-axis at $x = $3.00 cm. Point $P$ is on the $y$-axis at $y = $4.00 cm. (a) Calculate the electric fields $\overrightarrow{E_1}$ and $\overrightarrow{E_2}$ at point $P$ due to the charges $q_1$ and $q_2$ . Express your results in terms of unit vectors (see Example 21.6). (b) Use the results of part (a) to obtain the resultant field at $P$, expressed in unit vector form.

Hi. In the given problem, there are four charged particles situated at various points over XX is and y axis. Yeah, this is why axis this is X axis was to fall. There is a charge Cuban situated here. If this is the origin, then we can consider this charge Cuban to be situated at a point A and this distance is X one. And here Q one is given us plus 6 +10 micro column and another charge you too that is situated here. Let this point, Toby be What's the distance is also in magnitude. This is also for centimeter as x one Her ex one is plus 4.0 centimeter and x two is minus 4.0 centimeter and cute too is also plus 6.0 micro Kula No, As we know, electric field is always away from the positive charge so electrical due to this Kyoto at origin is a way like this. So this is e at or due to be similarly electric field at the same origin. Due to this cumin at a that is also a way means here this is E at all due to a now using the expression for electric field which says is equal toe cake. You by our square as Cuban is going to Kyoto and distances X one is equal toe XTO which we can represent us are so we can say e at all. Do toe a is equal toe e at all Do Toby and directions are opposite. So we can say these two electric fields cancel each other. No, we will look for another to charge particles out of which one is this your you three Let it be situated at a point c over positive by access and this distance is violent. And here que tree is given us plus 3.0 micro Coolum and why one here is given us plus 5 +10 centimeter. Similarly, there is one more charge particle here at negative y axis. This is skew for and its distance along negative. Why access is why too so Q four is given us minus eat 0.0 micro Coolum and why do is given us minus 7.0 centimeter No learn not minus. This is also plus seven centimeter means discharge is not situated here. This point d This is not here this point is also at the positive. Why access here? This is deep and the distance is this. Why to and in the problem these distances are also given us. This is not why When this is why three. And here this distance is why four. Now again using the same concept as we know electric field is Are we from the positive charge? And it is towards the negative charge. And here Q three is plus 3.0 micro column and Q for his minus 8.0 micro column means discharge minus 8.0 Micro Coolum. So now the two electric fields at origin one because off this country and that will be away means this this is E at all. Do toe, see the charge you three put at sea and another electric field is this This is E at all due to D. Latif will do to the charge you for put at T. So these two electric fields as are in opposite direction so not electric field will be equal to the difference the subtraction of these two electric fields. First of all, we will find the magnitude off these two electric fields first off all E at all due to see will be given by K Q. Three bye. Why three toe the whole square? This is not why I want. This is why three. And this is why for so putting the values nine into 10 days to the par nine into for Q three, this is three for micro conversion. Factor for micro column is tentage for minus six. Woolen divided by the square of 53 means five centimeter in place off centimeter. This is 5 to 10 for minus two meter to the whole square, so it becomes 27 in 2 10 days apart. Three. Divided by 25 into 10. Dish par minus four Newtons per column so it comes out to be 1.8 into 10. They should pass seven Newton per column, and its direction is a long negative vibe. Access, no next election. Create E at all because of me that is, given s que que for developed by wife for two, the whole square means nine into 10 days for nine into for Q four. This is eight in 2 10 dish for minus six. We will use only the magnitude as a negative sign. Already we have used in mentioning their direction into 10 dish for minus six. Golan, divided by the square of distance, and that is 7 70 m or seven into 10. Dish par minus 2 m. So the holes where so it comes out to be 72 into 10 days. Part three, divided by 49 into 10. Dish par minus four Newton Bar column And it becomes 1.47 into 10 days for seven Newton or column, and this is a long positive. Why access So net electric field that origin S E is equal toe because off here, too, because off the minus e at all, because off, See, because both of them are, you know what the direction. So he comes out to be 1.47 minus 1.8 in tow, 10 days past seven Newton per column. And here it comes out Toby Tzeitel, point three nine into 10 days for seven Newton per column. Or we can say this is 3.9 in tow. 10 days, Part six Newton per column, and this is directed long positive. Why access? This is the answer for the neck electric field at origin. Thank you

We have the charges given for X axis and y exist. That is Jordan. Very hand. This is is a one. He two e three. This is a four we have judged guilty here. You for here. We have judged. You won. Yeah. They have judged you, too. This is the origin, and we have Excellent. Is there a 0.4 m? Excellent is minus 0.4 Mm. Then, um, we have, uh Why won by three is 30.5 m and why four is 0.77 We do so as shown in the figure. The electric field you want due to charge you one at the origin is, um, directed along the negative X axis and the electric. This is judge you too. This is Q one in this and electric field to do. To charge you two at the original is located in the positive, um, ex excess. These two charges Q one and Q two produce no Net electric field at the coordinate origin because their magnitude of charges side, tickle and located located the same direction from the region. But they are in their different directory opposite direction. The charge the electric field, produced by Q three at the Origin Point, is along y axis and the electric field, produced by Q four at the origin, points towards the charge or along the Y direction. So the neck electric field days? Uh huh, yeah, so electric field is gay you for upon I four square minus K u three upon artery. Well, so this care Q four upon our four square minus Q three upon our three. Clear, it's okay. It's 8.99 into 10 to the power nine Newton Meter Square. Particular um, square Cute four is 18 to 10 to depart, minus six. Colon, our 47 into 10 to depart minus 2 m. Where minus Q three is train to tend to depart minus six. Column upon r three is five into tend to report minus 2 m square so electric free Will will pay 3.9 into 10 to the power. Six Newton Per Colin. The positive sign indicates that positive fine indicates that the net electric field point along positive. Positive? Why, yeah,

Hi, friends. This is the problem based on the concept of Mm. Yeah, electric field intensity. At that point due to one judge given bite Did you wait? Are square and force on the one charge due to electrically f Scott acuity Mhm. The electric field of plus six. Micro column charge will be Yeah, but along watching t back success And it will be negative back success. Mm. 18 will be in this direction and the four will be a direction. Mhm net electric field along X direction. Game you buy are square. He killed to buy art. We square, this is one This is fruit 19 to 10 to the double 96 And to try to keep our 26 upon four square minus 19 to 10 to the power nine. So sorry. 0.0 40 square. So it is a video, So e n x is zero. No, e and bike keep you full upon, uh, 40 square minus k Q three upon our three square that is 19 to 10 to the government cube. Full 8 to 10 to the bar minus six upon 7 to 10 to the par minus two minus three. And 2 10 to give four minus six upon why I'm into tend to department is to square so on solving it it is to be equal to Yeah, three point. Yeah. 8938 Nuclear particular health Doctor, Doctor three will be root of x. Component is square. Lesson by component is square That is 3.893 80 square and that zero is square. So it is to be 3.8938 New prints. Carpooling. Yeah, that's all. Thanks for watching it.

Right. There is an arrangement of two charged particles in this given problem, charged particles are identical. He considered Their magnitudes to be Cuban and Q two. Both are given, we'll be seeing in Cuban is equal to Q two, which is equal to 2.00 Micro Coolum. A gap between them. We consider it to be eight. This gap here, it's given us and 0.0 centimeter. Then there is an observation point at the Perpendicular by sector of the line joining the two charges point is given sp whose distance from the center of the line joining the two charges. This is given as a B. No the line joining the charged particles to this observation point. These flu lines are shown here suppose they are making an angle theater with the horizontal. So as this is the both of these are the positive charge particles and we know electrical goes away from the positive part. So here this will be the electrical activity due to charge to you too. So it will be named as to in fact to the charge at our point is Cuban. That will be named as one. And if this angle is here to hear this angle glows with heat up similarly, this one will also be hit up as this is an isil satisfying girl. Both of these angles are theater these electric fields, it's are actually having equal magnitude even is able to eat too. They will be resolved into two components here this is E to cost hitter and due to the lower one, this will be even cost it up and their vertical components will be E to sign theta and here it will be minus even sign it up. But as even is equal to eat. So we conclude that even scientists to magnet should be equal to eat too. Hence these two components into signed it up minus even scientists. If we add them, you get an answer. So there is no vertical component of the electric field. There are only horizontal components. The net electric field here will be given by even cost heater. Yes, he too costly to means this is boston talk even plus Now to find out the electric field even in day two and to find the angle peter we must have the value of this are here. This is Arvin. This is our means, hypothesis is So these hyper tennis's will also be equal. Argon will be equal to R. two even by pythagoras serum. That will be The slide off 30. The value of the 30 centimetre here. So this party square plus this is the half of the land half of the gap in cuba. It should come out to be 5cm for him. It will be by square centimetres. So finally it will come out to be 900 plus 25 centimeter beans. This is 925 centimetre which will come out to be 30.4 and you need that he spends. So finally the values of electric field, whether it is even or two will be given by the expression A into cuba are square. Turkey is one of 14 by a salon note Or can see its values nine into 10 days or nine into charge. You Which has been given us to Micro Fulham or two into 24 -1 cooler divided by ari Squire. Mrs what of this centimeter? It will be 925 into tended bar minus sport meter. So this electrical here will come out to the 1.95 and just to the pilot by newton. So finally, net electric field equivalent will be given by and yet electrical here, which will be acting towards Right. That will be even was it a plus he to cost data. We have seen it earlier here also. So using the same thing, it will be wise or even is this is equal and electric food that is equal to Wise off 1.95 Into 10 or five. Of course it will use Based upon high Potanin's for businesses. The high protein businesses are one or are. Oh here it will be 30 centimetre for this. Hi 14 is 30.4 and to meet canceling this finally, electrical equivalent electrical that once he comes out to be 3.84 10 5 Newton for and direction is the words right. Well, answer for that even problem. Thank you.


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