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# Calculate the magnitude and direction of the Coulomb force on each of the three charges shown in Figure $\mathrm{P} 15.10$ .

## 111 $\mathrm{N}$

### Discussion

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Flora B.

February 1, 2021

Calculate the magnitude and direction of the Coulomb force on each of the three charges shown in figure P15.8.

##### Andy C.

University of Michigan - Ann Arbor

LB

### Video Transcript

Hello. Strings like tired or discussion? Electrostatic force. Okay, No. Suppose you have the condition in Rich State, A straight line and a charge off. Six Micro Coolum is placed at the position. One positive charge and at position to a charge of 1.5 Micro cooler. Misplaced. No. Okay. And at Position three, a charge off minus two. Micro Kula misplaced. Okay, Now you have to find out the force on each charges. That is total force on one total force onto and total four soul. I'll see the charge. Q one is six micro Coolum that is six into 10. Rest part minus six Coolum. Similarly cuter is 1.5 micro column That is 1.5 into 10 days by minus six Coolum and Coo tree is minus two Micro Coolum that is minus two into tenders by minus six. Good. Okay. And the distance between them is three centimeter from one toe and it just two centimeter from photo three. It means that our want to is a three centimeter. That is, Joe went 03 centimeter and our duty is so sanctimony. Inter, that is judo point. You don't use a meter off meter. Uh uh, 13 that is five centimeter means 0.5 05 centimeters. Europe When Joe five meter. I am writing all the values here so that you can easily put these values in, Uh, in our example when we're okay. Lets just find the net force on one basically on one in the force on one do toe to Isn't this direction that is f one toe? Okay. And the fourth on one due to three will be in this direction on the neck forces af one that we have to find out these. Okay, here we are taking in vector notation that direction, it means that have formed factor will be I'm assuming right side to be positive. OK, so have one toe negative plus half one three vector positive because this is the negative charge it will attract this six Michael will charge towards herself and 1.5 Coolum is a positive charge. It will rebel this six micro cooler. Okay, So simply if you put the values than it will be que q one que to buy our want to square plus Okay, Q one que three a phone are 13 square. Okay, The value of case Constand Index Value s case, it goes to 19 to 10. This partner. Now, if you put the whole the values here, then you will get minus 90 Newton. And from here, if you put the values off Q one Q three and are 13 you will get the value. 43 points do Newton. So the net So the net force on one is minus 46.8 newton. That is in the left side. AF one, this is the net. Force the net Need certain forces in left side because the minus sign is come. Okay. No, we have to find the force on charge too. That is after. So the force in charge to is have to due to one force in charge to do 21 and it is after one and force on charged to do 23 after three. Now you can see that from hair. Ah, the from here. This is three and this is 11.56 and minus two after one is in this direction. Okay, that is four from 2 to 1. And also after 31 is also in this direction because this is negative charge. It will attract this. So the net force, no doubt Lee comes in this direction means right side. That is after. So this will be a k q to Q one by are 12 square plus que que took you tree by our trees square I wrote the older values in the stichting. So if you put all the values you really get here 19 Children and here you will get 67.5 Newton and the torta force on afterwards 1 57.5 Newton in the right side. Okay, No, let us find the force 13 basically force on 31 toe tree minus 21.5 and six. Okay, so forth. 24th on three due to one is in this direction. Force on 32 to 1. And also force on trade due to two is also in this direction. So no doubt little red result and force comes in the left side. That is after after. So after we will be minus off at 31 minus after a pool. Okay, so after even plus after +32 it will be, um Okay, You three Q one a bone R 13 square plus k. You took you tree a bone r tree to square. Okay, Now, if you put all the values you will get 43.2 from here and 67.5 Newton from here. Soak the net. Force Will comes out to be 110.7 Newton in left side. This is the fourth country. So we find that the force on various charges actually, initially, this is our child system. Okay, so we find the net. Force one, Charge one that force in charge. Toe and net. Force on charge three. Well, this is all from me for this video. I hope you will like the video. Thank you.

Other Schools
##### Andy C.

University of Michigan - Ann Arbor

LB