A thin superconducting zero resistance ring is held above a

Last updated: 6/11/2023

A thin superconducting zero resistance ring is held above a vertical long solenoid as shown in the figure The axis of symmetry of the ring is same to that of the solenoid The cylindrically symmetric magnetic field around the ring can be described approximately in terms of the vertical and radial component of the magnetic field vector as B Bo 1 az and B Bo r where Bo a and B are constants and z r are vertical and radial position coordinates respectively Initially plane of the ring is horizontal has no current flowing in it When released it starts to move downwards with its axis still vertical Initial coordinates of the centre of the ring is z 0 and r 0 In the given diagram point O is on the axis and slightly above the solenoid having vertical and radial position coordinates as 0 0 Ring has mass m radius ro and self inductance L Assume the acceleration due to gravity as g 1 Find the magnitude of current in the ring at a vertical position z A Banr z L B rz C 2L B Baz D None of these Voltage Source 0 r c