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Two point charges sit on the X-axis Charge 91 -3.00 nC is located at the origin; and charge 92 -4.00 nC is located atx = 4.00 m. Find the location of point P on the...

Question

Two point charges sit on the X-axis Charge 91 -3.00 nC is located at the origin; and charge 92 -4.00 nC is located atx = 4.00 m. Find the location of point P on the X-axis between these two charges where the electric potential is equal to zerox (m)2.22 m1.71 m2.57 mThe electric potential does not vanish atany point between the two charges_1.86 m

Two point charges sit on the X-axis Charge 91 -3.00 nC is located at the origin; and charge 92 -4.00 nC is located atx = 4.00 m. Find the location of point P on the X-axis between these two charges where the electric potential is equal to zero x (m) 2.22 m 1.71 m 2.57 m The electric potential does not vanish atany point between the two charges_ 1.86 m



Answers

Two point charges lie on the $x$ -axis: $1.65 \mu \mathrm{C}$ at $x=1.00 \mathrm{~m}$ and $-2.30 \mu \mathrm{C}$ at $x=2.50 \mathrm{~m} .$ Find the place(s) where the electric field is zero.

So the charges are at thus 1.25 That's what This to be zero on this to be negative 1.8. So we're supposed to find, uh, electric potential with respect to argue all and the other point who? Geez, 1.5 centimeters in this direction. So for part a, remember that these numbers are Ardian Centimeter for part A, which is what unsure about the origin is okay, que one and that you would respect origin. Que que one over r one Does Q do over r two. So in this particle, their guests with nine times 10 to the nine sk and 4.5 micro problems of 4.5 tons 2186 Michael on charges placed at 1.25 centimeters or 0.125 meter. Thus, the second George has got negative two point do for my Tokudome. So this just put the negative sign 2.252 point 24 transgendered on 86 Microcosm divided by are the radius or the distance is 1.8 meter or 0.1 eight zero. So this is the potential with respect to the origin. Now serving this number, we get that the potential is 2.12 times 10 to the six. I won't. Now, if we call this point to BB and we're trying to find VB, then that distances the other ones and the artist would be replaced by this which I am going to write down straight. Que is nine times 10 to the nine charge 4.5 times tented us six for the 1st 1 and then using the better for us, we will have 0.125 square. Thus 1.5 centimeters 0.15 square. This is a distance minus 2.24 times changed on 86. That's just there. The distance for the second. Ah, you know this sign. This line becomes 0.18 squared state of porn 015 square. Now I would have passed it in the calculator already on. This comes out to be one point 21 So I'm standing there. Six world

In this question we have two point charges on the y axis. The positive charge 4.5 micro cologne. Is that why he goes to 1.25 cm. And then uh negative charge negative 2.24 micro column is uh 1.8 cm below the X axis. He wants to find a total electric potential at the origin and at the .1.5 cm zero. Okay. So to find the total electric potential. Okay. So we just need to some the individual contribution because electric potential is the scale of the quantity. So uh we just need to some of the individual contribution. Okay, So at the origin. Okay, I'm going to call this Q one A Negant Charge Q two. And this is KQ one over R one plus K 2, 2/2. So you just substitute the numbers. It's okay. Is 8.99 understand the part nine. All right. And then to one is 4.5 times. And upon negative six divided by 1.25 times. And the negative two minus 2.24 times. And upon negative six divided by 1.8 times. 10 to the power negative too. So, using a calculator, um the answer is 2.1- 10. 10 to the power six votes. Okay, So this is the answer for a they have a baby. Okay, at the point 1.5 cm 00. Okay, the electric potential. Okay. Oh yeah. Okay. It's still the same General phone KQ one over R one plus KQ two over our two at this time? The R one Is this distance And are too is this distance? Okay. So we need to use uh category serum to calculate R one R 2. So we still on for dinner. OK. and 7.9. And then 21 is 4.5 times 10 to the -6. Then our one is squared off. Um zero point mhm 015 square plus 0.0125 sq. And then my nurse 2.24 times sent upon negative six by square roots off 0.15 square plus 0.18 square. Okay. Then using a calculator. The answer is 1.21 Hence 10 to the power of six books. All right. So here are the answers for parts A and B. And that's all for this question.

In this problem. We're going to kill the charge. Located 8.2 point 23 meter in tow minus 3.31 meter. So we call this charges to three. So what is the potential at the Oregon is zero. So we can write. We want equal Plus we to plus we three Is it close to zero where this we wanted? Because Tok you wonder what it by one plus Okay. You want to be wanted by are to plus good que tree wanted by country. This is a close to you How it can be written as a squint can be written for 23 as a U three equals two minus into do you want to wanted by Plus goingto you wanted buddy are two and there will be a tree. They're scolded Equation number one No, let's kill Plenty is ours. So are one will be close to squared off 4.40 meter Hold square Plussed it into six point to a meter. Hold square. So this will give us the wedding for one as r one equals two 7.6 19 Similarly, we can ride that relation for it words R two equals two. Squared off minus 4.5 zero made their whole Dsquared plus into 6.75 meter hold square, so this would give us a value for our two, as R two equals two at point 112 meter. Similarly, our trees routine as a squared off for a equals two squared over 2.23 Meet their hold square plus into minus 3.31 Major hold square. So this will give us a value for R three years. Three calls to three point 991 meter now by inserting the others into the choir number one, which we have rooted in the previous light. Weaken right que three equals two with negative side into 22 point. Huh? Five. Multiply Waiter is far minus six column you wanted by. We have developed for one as a selling 10.6 19 meter plus. Then we have you for Q two as minus 14 point to multiply returns part minus six. Coolum you wanted by. We have the better for our two as it at 8.112 and then we have the value for our two years. A three point night 91 meter. So this will give us a value for Q three and Q three equals two minus four point that zero. Michael. So this is the required answer. Thank you.

For potential at C 20 Me. Okay. Minus two upon x. Sorry. Three minus x. Yes. KQ upon X must regional the access card to achieve by two. Me too.


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