A long straight solenoid has `n` turns per unit length. An alternating current `I = I_(m) sin omega t` flows throught it. Find the displacement current density as a function of the distnace `r` from the solenoid equals `R`.

In a long staright solenoid with cross-sectional radius a and number of turns per unit length n a current varies with a constant velocity dotI A//s . Find the magntidue of the eddy current field strength as a function of the distance r from the solenoid axis. Draw the appoximate plot of this function.

A long solenoid has n turns per unit length and radius a. A current l = I_0 sin omega t flows through it. A cylindrical vessel of radius R, length L and thickness d (dltltR) and resistivity rho is kept co-axially. Find the induced current in the outer cylindrical vessel.

A long solenoid has n turns per unit length and radius a. A current I = I _ 0 sin omega t flows through it. A cylindrical vessel of radius R, length L, thickness d (d lt lt R) and resistivity rho is kept coaxially shown int he figure. Find the induced current in the outer cylindrical vessel.

Consider a long solenoid of radius R which has n turns per unit length. A time dependent current I=I_(0) sin omegat flows solenoid, magnitude of electric field at a perpendicular distance rltR , from the axis of symmetry of solenoid is found to be E=(alpha)/4omegamu_(0) nI_(0)r cosomegat , where alpha is pure number and mu_(0) is permability of free space. Find alpha

Consider a long solenoid of radius R which has n turns per unit length. A time dependent current I=I_(0) sin omegat flows solenoid, magnitude of electric field at a perpendicular distance rltR , from the axis of symmetry of solenoid is found to be E=(alpha)/4omegamu_(0) nI_(0)r cosomegat , where alpha is pure number and mu_(0) is permability of free space. Find alpha

A very long straight solenoid has a cross section radis R and n turns per unit lenghth. A direct current I flows throguh the solenoid. Suppose that x is the distance from the end of the the solenoid, measured along its axis. Find: (a) the magnetic induction B on the axis as a funciton of x , draw an approximate plot of B vs ratio x//R , (b) the distance x_(0) to the point on the axis at which the value of B differs by eta = 1% from that in the middle section of the solnoid.