A rod of length `l` is rotating with an angular speed `omega` about one of its ends which is at a distance a from an infinitely long wire carrying current `i`. Find the emf induecd in the rod at the instanr shown in .

Explanation

Consider a small segment of rod of length `dx`, at a distance `x` from one end of the rod. Emf induced in the segment,

`depsilon = (mu_(0)i)/(2pi(x +a))(xomega)dx`
`:.` `epsilon = int_(0)^(l)(mu_(0)i)/(2pi(x + a))(xomega)dx = (mu_(0)i omega)/(2pi)[l - a ln ((l + a)/(a))]`