A hollow cylinder made of material of resistivity `rho` has length a and wall thickness `d(l gt gt a gt gt d)`. A current I flows through the cylinder in tangential direction and is uniformly distributed along its length. (a) Find the emf developed along the circumference of the cylinder if the current changes at a rate `(dl)/(dt) = beta` (b) Assume that no external source is present and the current at time t = 0 is `I_(0)`. The current decays with time. Write I as a function of time.

A hollow cylinder made of material of resistivity `rho` has length a a

1.	A hollow cylinder made of material of resistivity `rho` has length a and wall thickness `d(l gt gt a gt gt d)`. A current I flows through the cylinder in tangential direction and is uniformly distributed along its length. (a) Find the emf developed along the circumference of the cylinder if the current changes at a rate `(dl)/(dt) = beta` (b) Assume that no external source is present and the current at time t = 0 is `I_(0)`. The current decays with time. Write I as a function of time.
Answer» Correct Answer - (a) `(mu_(0)pia^(2)beta)/(l)` (b) `I = I_(0)e^(-(2rhot)/(mu_(0)ad))`

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