Assuming that the length the of the solenoid is large when compared to its diameter, find the edquation for its inductance.

Compare the direction of the magnetic field inside a solenoid with that of the field there if the solenoid is replaced by its equivalent combination of north pole and south pole.

A tightly- wound, long solenoid is kept with its axis parallel to a large metal sheet carrying a surface current. The surface 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?

a. Obtain the expression for the magnetic energy stored in a solenoid in terms of magnetic field B, area A and length l of the solenoid. b. How does this magnetic energy compare with the electrostatic energy stored in a capacitor?

Find the lengths of chords of the circumcircle of triangle ABC, made by its altitudes

Find the value of lambda if the equation (x-1)^2+(y-2)^2=lambda(x+y+3)^2 represents a parabola. Also, find its focus, the equation of its directrix, the equation of its axis, the coordinates of its vertex, the equation of its latus rectum, the length of the latus rectum, and the extremities of the latus rectum.

Calculate the magnetic field inside a solenold ,when (a) The length of the solenoid becomes twice and fixed number of turns (b) both the length of the solenoid and number of turns are double (c ) the number of turns becomes twice for the fixed length of the solenoid compare the results,

Volume of a hemisphere is 18000 pi cm^3 . Find its diameter

A closely wound solenoid 80 cm long has 5 layers of windings of 400 turns each. The diameter of the solenoid is 1.8 cm .If the current carried is 8.0 A, estimate the magnitude of B inside the solenoid near its centre.