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`        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

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

```
7 years ago
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