Two long conducting cylindrical shells are coaxial and have radiiof 20 mm and 80

Question

Two long conducting cylindrical shells are coaxial and have radiiof 20 mm and 80 mm. The electric potential of the inner conductor,with respect to the outer conductor, is +600 V.
an electron is incircular motion around the inner cylinder in an orbit of 30 mmradius. The speed of the electron is closest to:
5 x106 m/s 6 x106 m/s 7 x106 m/s 5 x106 m/s 5 x106 m/s






an electron is incircular motion around the inner cylinder in an orbit of 30 mmradius. The speed of the electron is closest to:
5 x106 m/s 6 x106 m/s 7 x106 m/s 5 x106 m/s 5 x106 m/s





5 x106 m/s 6 x106 m/s 7 x106 m/s 5 x106 m/s 5 x106 m/s

Explanation / Answer

                  = (600V)/[(80-20)*10-3m]                   = 10000N/C
For the electron is to be in the circular orbit of radius r inan electric field the electrostatic force must be balanced by thecentripetal force. Therefore Ee = mv2/r Then the velocity of the electron is v =sqrt[(10000N/C)(1.6*10-19C)(30*10-3m)/(9.11*10-31kg)]             ˜ 7*106m/s

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