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.

A long solenoid has n turns per unit length and carries a current i = i_(0) sin omega t . A coil of N turns and area A is mounted inside the solenoid and is free to rotate about its diameter that is perpendicular to the axis of the solenoid. The coil rotates with angular speed omega and at time t = 0 the axis of the coil coincides with the axis of the solenoid as shown in figure. Write emf induced in the coil as function of time.