Consider the following setup which consists of a semi-infinite solenoid (in which a constant current \(I\) is flowing )connected end to end and coaxially to a double cylindrical set up. The double cylindrical set up consists of two coaxial fixed cylinders of radius r with a very small radii difference. In between the gap of the two cylinders a particle is given a certain horizontal velocity \(V_{1_{0}}
\) as well as some tangential velocity \(V_{2_{0}}=1kms^{-1}
\) at time t=0. The number of turns density is n. What is the maximum horizontal velocity in \(km/s\) given so that the particle returns to its original position?
## Details and assumptions:

- The cylinder is also infinitely long
- There is no friction or no collisions between the cylinder and particle.
- \(r=0.001m\)
- \(I=10^{7}A\)
- \(n=10^{3}m^-1 \)
- \(\frac{q}{m}=10^{3}Ckg^{-1}\)
- \(\mu_{o}=4\pi10^{-7}m kg s^{-2} A^{-2}\)

×

Problem Loading...

Note Loading...

Set Loading...