A very long straight solenoid carries a current `i`. The cross-sectional area of the solenoid is equal to `S`, the number of turns per unit length is equal to `n`. Find the flux of the vector `B` through the end plane of the solenoid.

A very long straight solenoid has a cross section radius R . A number of turns per unit length is equal to n . Find the magnetic induction at the centre of the coil when a current I flows thougth it.

Find the mutual inductance of two long concentric solenoids for a length I. The area of cross-section of inner solenoid is A and number of turns per unit length are n_(1) and n_(2) .

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.

The magnetic field intensity inside a long solenoid is 1T. If the current per turn of the solenoid winding is 1A, find the number of turns in per meter.

A current I flows in a long single layer solenoid with cross-sectional radius R . The number of turns per unit length of the solenoid equals n . Find the limiting current at which the winding may ruputure if the tensile strength of the wire is equal to F_(l i m) .

A tightly- wound, long solenoid is kept with its axis parallel to a large metal sheet carrying a surface current. The surgace current through a width dl of the sheet is Kdl and the number of turns per unit length of the solenoid is n. The magnetic field near the centre of the solenoid is found to be zero. (a) find the current in the solenoid. (b) If the solenoid is rotated to make its axis perpendicular to the metal sheet, what would be the magnitude of the magnetic field near its centre?