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K. Mohmmed Laique Hussain Grade:
        

An electron is rotating around an infinite positive linear charge in a circle of radius of 0.1 m , if linear charge density is 1 micro coulomb per meter, then velocity of electron in m/s is? . . . . . pls help as soon as possible

7 years ago

Answers : (1)

Askiitians Expert Ankit -BVCOE
18 Points
										

Hi mohmmed


You can imagine the postive linear charge as vertical rod and electron moving around it in a circle horizontaly.


the image uploaded might help in visualization.


Now you know that there will be a force of attraction among the opposite charges and also since electron is revolving in a circle ,there will be a centrifugal force(repulsive) acting on it.


These forces will be equal and opposite and thus will form the equation.


electrostatic force will be, F1 = qE (where q is electron,1.6*10^-19 and E is electric field due to infinte linear charge )


 


                 E = λ (per unit charge) =   1.7974*10^4


                       2 ∏ ε


and centrifugal force, F2 will be fiven by = mass * velocity^2  / radius


                                   mass of electron : 9.1 * 10^-31


                                    radius (given)= 0.1


equating these two forces , we get v = 1.78 * 10^8   .


 


 


 


 


 


 


 


1735_14825_3d view.JPG

7 years ago
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