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Problem 68 Hard Difficulty

Three identical point charges, each of mass $m=0.100 \mathrm{kg}$ , hang from three strings, as shown in Figure $\mathrm{P} 15.68$ . If the lengths of the left and right strings are each $L=30.0 \mathrm{cm}$ and if the angle $\theta$ is $45.0^{\circ}$ , determine the valuc of $q$ .

Answer

2.0$\mu \mathrm{C}$

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Video Transcript

harassed Rensselaer. Start our discussion. Suppose we have three identical charges. Okay? And that are hanging like that. The muzzle e charges 0.1 kg. Bang. The land off the screen is hardly centimeter. That is more Three meter and the three top it ruined them is a 45 big. Okay, now we have to find orga Charge on this. See? No, if I am taking this So if these are the charges, let's name them Q one, Q two, although all are identical but left there no at one f, the force applied it on charge 1 to 2, forced to and also four supply. Don't charge one due to forced three or do do just three. And also due to its must, it will experience a downward force that is empty. So basically the torque the door by the force have to plus the talk by the Force. F one is exactly equal to talk by the fourth M g. OK, no, let's if this is a triangle and this is our teeter so this will be the l Sign theater And this length is Alcoa's cheetah. So toward will be the force into the perpendicular distance so talk by after will be que ito into the perpendicular distances. Last name and a B Yeah, be baby. Plus, if you eat one into a B plus m g into next, namely NBC this point c in two b. C. Okay, so basically the value off a B is you do in tow. Alco strata. Les que even in tow. Al Costa, is it closed toe? M g l sign Thida. So now by solving this, uh, you al coast it I will be comin out and human plus eat mg. I'll sign Tigger. Al Tums will be cancel. Oh, I'm just 10 Peter Q. Now that elect fill one is K few my distance. If this is even e one Oh, there's a little mistake This is stored by after that. Did you do this Full charge. So et ecri 80. So e three will be this distance else Identifies this. And l scientist, is this so total distance between position three and position one is too well, scientist Who else? Scientist? The square. Let's e do que que as 90 does square. Okay, that this electric field on position one due to position to this is al side. This is also outside Tito. Okay, So que que square upon l scientist, a square will become a note. No, only one by four plus one. We left. I'm Judy Anteater. Okay, so if I will rearrange this, I will get off final. That is the value off charges. You're square full by five. I m G Dan Tita. L Square sine squared, Tita. Bye. Hey, this is the value off charge that we have to find out. No, By putting values four by five must 0.1 kg into nine. Point it into 10. 45 in tow. Pointy meter square into sign square 45 degree by nine. Interest in this part nine. This is electrostatic force. Question for my soul doing this, we will get approximately to my crew. Kulgam. Okay, so the value off judge on this system is to micro Coolum that we have to find out. Well, this is all for me for this video. I hope you will like the video. Thank you.

Other Schools
Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Farnaz M.

Other Schools

Aspen F.

University of Sheffield

Meghan M.

McMaster University

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp