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Two long concetric cylindrical conductor...

Two long concetric cylindrical conductors of radii a and b `(b lt a)` are maintained at a potential difference V and carry equal and opposite currents l. Show that an electron with a particular velocity u parallel to the axis may travel underivated in the evacuated region between the conductors, and calculate u when a = 50 mm, b = 2.0 mm, V = 50 V and l = 100 A.
It is also possible for the electron to travel in a helical path. By regarding such a path as the combination of a circular motion perpendicular to the axis with a steady velocity parallel to the axis, indicate without detailed mathematics how this comes about.

A

`(4piV)/(mu_(0)Iln((b)/(a)))`

B

`(2piV)/(mu_(0)Iln((a)/(b)))`

C

`(2piV)/(mu_(0)Iln((b)/(a)))`

D

`(8piV)/(mu_(0)Iln((a)/(b)))`

Text Solution

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The correct Answer is:
B
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