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01010.0 pointsA point charge of +4 pC is located ~1 cm and a second point charge of _5 pC is located at x = 8 cm Where should a third charge of +7 pC be placed s0 t...

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01010.0 pointsA point charge of +4 pC is located ~1 cm and a second point charge of _5 pC is located at x = 8 cm Where should a third charge of +7 pC be placed s0 that the electric field at € = 0 cm is zero? Answer in units of cm011 (part 1 of 2) 10.0 pointsTwo charges are located on a horizontal axis.1.8 m1.9 pC1.9 uC3 m3 mDetermine the electric field on vertical axis as shown in the figure; where up is positive. The Coulomb constant 8.98755 x 109 N m2/C2 Answer in units of V/m012 (p

010 10.0 points A point charge of +4 pC is located ~1 cm and a second point charge of _5 pC is located at x = 8 cm Where should a third charge of +7 pC be placed s0 that the electric field at € = 0 cm is zero? Answer in units of cm 011 (part 1 of 2) 10.0 points Two charges are located on a horizontal axis. 1.8 m 1.9 pC 1.9 uC 3 m 3 m Determine the electric field on vertical axis as shown in the figure; where up is positive. The Coulomb constant 8.98755 x 109 N m2/C2 Answer in units of V/m 012 (part 2 of 2) 10.0 points Find the vertical component of the electric force on -2.5 pC charge placed at point p. Answer in units of N_



Answers

Consider a system of three point charges on the $x$ axis. Charge 1 is at $x=0,$ charge 2 is at $x=0.20 \mathrm{m},$ and charge 3 is at $x=0.40 \mathrm{m} .$ In addition, the charges have the following values: $q_{1}=-19 \mu C, q_{2}=q_{3}=+19 \mu C$ (a) The electric field vanishes at some point on the $x$ axis between $x=0.20 \mathrm{m}$ and $x=0.40 \mathrm{m}$. Is the point of zero field (i) at $x=0.30 \mathrm{m}$ (ii) to the left of $x=0.30 \mathrm{m},$ or (iii) to the right of $x=0.30 \mathrm{m} ?$ Explain. (b) Find the point where $E=0$ between $x=0.20 \mathrm{m}$ and $x=0.40 \mathrm{m}$

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

Question. 40 to ask Two point charges Lie on the X axis. A charge of positive 2.4 PICO Coombs is at the origin here. I'm calling Q one. Any charge of native 4.8 PICO Coombs is that X equals 10 centimeters here. Cute, too. What third charge should replace at X equals 20 centimeters so that the total electric field at X equals positive. 10 centimeters is zero. So this is our situation Will add this Q three into our system at this position, and they want to find a net electric field at this positive X equals 10 position to be zero. So that means we need to fear out how these charges con tribute. There are electric field to this point. And from there we consult for this mystery value this mystery Q three. The key one we're told is positive. So the electric field will leave Q one and head towards art, but are under position was I'm gonna was gonna call Pete Point p. Que two is negative. So it has electric field leaving point P and approaching itself. So we don't know Thea. The charge on q three. While there were native We're gonna sue is positive. If it's not positive, will get a negative value. And from their recon, simply change our value to see if, in the sign of a value to say concedes, so we don't. As of now, we don't know which way this goes, but it won't matter. You'll choose one for wrong, which has added native sign or vice versa. All right, so we know that you feel at point P equals zero. Q. One contribute positively because we're saying that the right to the right hand direction is positive was positive. K Q. One over de one square will save the distance from the charge to the location of interest. Que two contributes negatively. So it's minus K Q two over deep two squared and safer. Now will disable added a term here for K que threes. We're going to say it could injuries positively and that's over d three squared. Gonna get this whole term hast equal zero. So right off the bat, we notice each term has a case. We can cancel that out divides off. We don't need it. So just looking at the relationship, If we just solve this equation, four Q three. We can say, Well, we move things over and not by by D three cubed Sorry, not cute. D three squared. That's three. Confuse me. You look by D three screen by the expression Q two. Divided by D two squared and some tracking up Q one over Deal Squared D three. We know due to you know we know all the distances. Me, no Q two and Q. One. So that means we're able to plug in our value now. So the distance from our unknown charged to electric field location point P is 10 centimeters 0.10 squared d three. Spurn que two of their negative 4.8 PICO cools. Remember Peco's time. Send the native 12 the distance from Q two to our. Our location is 20 centimeters that point to squared and re add it always attract. Excuse me, so I forgive me. I don't need a negative there. Like I said before, we just look at the magnitude because we took him to the direction I was taken to the sign. So we took the direction electric field into account by and noticing the sign of the charge. So the using the magnitude there and team for Q 12.4 oh times 10 native 12 Coombs and the distance between the dew points, this 0.1 meters squared. And so, really for two soldiers. Now we would find that Q three has to be negative 1.2 into the name 12 gloom for 1.2 PICO columns. So that means this negative sign here indicated that our choice that this term is positive let me incorrect. So that means in this previous equation of top, this should be a negative meaning that the electric field, due to Q three contribute negatively. Two point at point P, which means Q three has to be positive. A positive charge. So therefore que three. Therefore we can finally say is 1.2 PICO cools positive 1.2 PICO columns, right? And just to reiterate that point initially we decided we just said that que three contribute positively. That's why we initially but a positive sign here to the electric field that point p. By doing that, we got a negative charge. But remember when redeeming electric fields, we only at it in the equation. So if we only deal with the positive are the magnitude of the charge itself. So by the fact that we got negative here does indicate that our initial choice of positive here it was incorrect. It should be negative. Which means that dealing scenario for this to contribute negatively is if Q three is positive. So again, our final charge of Q Tree is 1.2 ico Ghoulam's.

We have two touches which are tense and Demeter to part. That same. This is first charge, which is one micro cologne. And then we have the second charge was magnitude is equal to do micro cool. Or and the distance between these two charges is, uh, 10 centimeter. Now we want to find out a point. In between these two times is where electric field is. Zero lip, big point B a. Then the distance between point A and one micro cologne charges, let's say X and then the distance between point A and to micro cool on charges in minus X, then minus X right. We know the electric field e is equal to p times skin divided by R Square. Now it won't be here. It, uh, mind yeah, our electric field do to one micro Coolum and electric field do you to to micro colon must be so. Some of these two electric fields most vehicle to zero right now. Let's upstate into values. So king into one motive live. I tend to the power minus six, divided by X square. I camp sitting sits the night direction minus skate times two multiplied by 10 to the power minus six. Divided by 10 minus sex. Whole square is equal to conceded on em. This is in the minus. I can't direction. And now, solving this. We have one divided by x. Clear is they called to two divided by 10 minus x whole square. Now simply fine. By cross multiplying, we have 100 less X square, minus 20 packs is equal. Do two X square. Enhance X square list 20 X minus 100 is equal to zero and no sold ing for X X is equal to We're trying to warn Fuller Centimeter.

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.


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