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A typical charge in an electric circuit is 100 micro-Coulombs.How far apart would two 100 micro-Coulomb charges have to be toexert a 3 Newton force on each other? E...

Question

A typical charge in an electric circuit is 100 micro-Coulombs.How far apart would two 100 micro-Coulomb charges have to be toexert a 3 Newton force on each other? Express your answer in thebase unit of distance in the MKS system. Recall that the prefixmicro denotes the factor 10^(-6).

A typical charge in an electric circuit is 100 micro-Coulombs. How far apart would two 100 micro-Coulomb charges have to be to exert a 3 Newton force on each other? Express your answer in the base unit of distance in the MKS system. Recall that the prefix micro denotes the factor 10^(-6).



Answers

Two identically charged particles separated by a distance of $1.00 \mathrm{~m}$ repel each other with a force of $1.00 \mathrm{~N}$. What is the magnitude of the charges?

We have two identical charged particles. It means both have equal charge Cuban equals to kill two equals two Q. And they are separated by a distance, small equals to one point double zero m. And both are repelling with repelling each other with force F equals to one point double zero neutral. Okay, so now we have to determine the charge on each spear. That is cute. So from the cool. Um So we know that the force F equals two KQ square by the square. So from here we get after rearranging Q equals two F. D. Square. They were by K. And hold under the sun of substituting values. We get Q equals two under root of F, which is one point double zero newton and D. Which is one point a double zero m. So holy square divided by K. Which is 9 to 10 to the power nine newton meter square park cooling the square. Okay, so from here after solving we get charged Q. On the boat particles equals to 10.54 micro color. Okay, so this is the answer for that question, and this is the charge on each particle, which will experience a force of one newton after placing at a separation one m. Okay?

Electrons having charge Q equals two small E. Which is elementary charge on the electron, which is 1.602 multiplied by 10 to the power minus 19 column. And we had to place them at a separation small D. So that the electrostatic force between them is equal to the weight of one electron. That is M. E. Molecular Beijing. This is the weight of one electron. Okay. Where M is the mass of one electron and G is the gravitational constant. Okay. And we have to determine this separation is small, so the electrostatic force between electrons, F. E. It will be equals two K. E. Square by the square. And as further question, this electrostatic force is equal to the weight, so it is equal to M. E. Multiplied by small G. So from here, after rearranging small D comes out to be K. E squared divided by M. E. Multiplied by G. And hold under. So substituting values here We get on the route of K, which is 19 to 10 to the power nine multiplied by E, which which is 1.60 to manipulate by 10 to the power minus 19. Cool. Um so holy square, they were by mass of the electron is 9.109 Multiplied by 10 to the power minus 31 K. G. And G is equal to 9.81 m per second. The square. So from here, after solving small d comes out to be 5.08 m. Okay, so this is the answer for the question and it means we have to place that two electrons at this separation so that the electrostatic force between them will be equal to the weight of one electron. Okay.

Force between two charges is given by when divided by full, perhaps alone, not Q. One Q two, divided by distant square queue and queue to being two charges. Now we are given their forces when Newton, for one divided by four perps are not has a value nine times to empower. Nine. Both charges have same value that is 75 Nanako. So it's just squared, divided by distance where sinister square is simply nine times 10 power 75 square times 10 power *** to night. So nine times 75 square is 50,000 6 25 Simplifying that will give me 5.6 to 5 times 10 Power negative fight. So this also can we return eyes 50.6 to 5 times 10 Power negative six Because then taking square root will be easier. 15.6 to 5 has a square root 7.11 square root of 10 power negative sixes 10 power negative three Just a man you are so answer in this case should be just two significant digits of 7.1 millimeters. I hope you understand

Well by using columns. Local on ploys f equals K times killing one times Q to anybody but are square well. R is the distance between two charges we are given. Force force equals 10 Newton. Uh, Q one is equal to one column, and you two is also equal to one column, and we need to find out. Are right. So here are swear is equal to K divided by 10 and R is equal to root Key divided by 10 no r equals route case nine. Multiply by 10 to the power nine, divided by 2 10 So r equals, uh, when we simply find this week it three multiplied by, tend to the bomb four meters, which is equal to attorney kilometer.


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